Exemplo n.º 1
0
class KappaVKappaT(LHCHCGBaseModel):
    """
    Copy of Kappas model with a combined kappa_V (for kappa_W and kappa_Z),
    and where hcc is independent of kappa_t.
   
    For tHq multilepton analysis (HIG-17-005)

    NOTE - Do not use this model for a generic analysis, 
    instead use the LHCHCGModels:K3 or K7 models   and freeze POIs accordingly
    """
    def __init__(self,
                 resolved=True,
                 BRU=True,
                 addInvisible=False,
                 coupleTopTau=False):
        LHCHCGBaseModel.__init__(
            self
        )  # not using 'super(x,self).__init__' since I don't understand it
        self.doBRU = BRU
        self.resolved = resolved
        self.addInvisible = addInvisible
        self.coupleTopTau = coupleTopTau

    def setPhysicsOptions(self, physOptions):
        self.setPhysicsOptionsBase(physOptions)
        for po in physOptions:
            if po.startswith("BRU="):
                self.doBRU = (po.replace("BRU=", "")
                              in ["yes", "1", "Yes", "True", "true"])
        print "BR uncertainties in partial widths: %s " % self.doBRU

    def doParametersOfInterest(self):
        """Create POI out of signal strength and MH"""
        self.modelBuilder.doVar("r[1,0.0,10.0]")
        self.modelBuilder.doVar("kappa_V[1,0.0,2.0]")
        self.modelBuilder.doVar("kappa_t[1,-10.0,10.0]")
        self.modelBuilder.doVar("kappa_mu[1,0.0,5.0]")
        if not self.coupleTopTau:
            self.modelBuilder.doVar("kappa_tau[1,0.0,3.0]")
            self.modelBuilder.factory_(
                "expr::kappa_mu_expr(\"@0*@1+(1-@0)*@2\", CMS_use_kmu[0], kappa_mu, kappa_tau)"
            )
        else:
            self.modelBuilder.factory_(
                "expr::kappa_mu_expr(\"@0*@1+(1-@0)*@2\", CMS_use_kmu[0], kappa_mu, kappa_t)"
            )
        self.modelBuilder.doVar("kappa_b[1,0.0,3.0]")
        self.modelBuilder.doVar(
            "kappa_c[1,0.0,3.0]")  # treat hcc independently from kappa_t
        if not self.resolved:
            self.modelBuilder.doVar("kappa_g[1,0.0,2.0]")
            self.modelBuilder.doVar("kappa_gam[1,0.0,2.5]")
        self.modelBuilder.doVar("BRinv[0,0,1]")
        if not self.addInvisible:
            self.modelBuilder.out.var("BRinv").setConstant(True)
        pois = 'kappa_V,kappa_t,kappa_b,kappa_c'
        if not self.coupleTopTau:
            pois += ',kappa_tau'
        if not self.resolved:
            pois += ',kappa_g,kappa_gam'
        if self.addInvisible: pois += ",BRinv"
        self.doMH()
        self.modelBuilder.doSet("POI", pois)
        self.SMH = SMHiggsBuilder(self.modelBuilder)
        self.setup()

    def setup(self):
        self.dobbH()
        # SM BR
        for d in SM_HIGG_DECAYS + ["hss"]:
            self.SMH.makeBR(d)
        # BR uncertainties
        if self.doBRU:
            self.SMH.makePartialWidthUncertainties()
        else:
            for d in SM_HIGG_DECAYS:
                self.modelBuilder.factory_(
                    'HiggsDecayWidth_UncertaintyScaling_%s[1.0]' % d)
        # get VBF, tHq, tHW, ggZH cross section
        self.SMH.makeScaling('qqH', CW='kappa_V', CZ='kappa_V')
        self.SMH.makeScaling("tHq", CW='kappa_V', Ctop="kappa_t")
        self.SMH.makeScaling("tHW", CW='kappa_V', Ctop="kappa_t")
        self.SMH.makeScaling("ggZH",
                             CZ='kappa_V',
                             Ctop="kappa_t",
                             Cb="kappa_b")
        # resolve loops
        if self.resolved:
            self.SMH.makeScaling('ggH',
                                 Cb='kappa_b',
                                 Ctop='kappa_t',
                                 Cc="kappa_t")
            self.SMH.makeScaling('hgluglu', Cb='kappa_b', Ctop='kappa_t')
            if not self.coupleTopTau:
                self.SMH.makeScaling('hgg',
                                     Cb='kappa_b',
                                     Ctop='kappa_t',
                                     CW='kappa_V',
                                     Ctau='kappa_tau')
                self.SMH.makeScaling('hzg',
                                     Cb='kappa_b',
                                     Ctop='kappa_t',
                                     CW='kappa_V',
                                     Ctau='kappa_tau')
            else:
                self.SMH.makeScaling('hgg',
                                     Cb='kappa_b',
                                     Ctop='kappa_t',
                                     CW='kappa_V',
                                     Ctau='kappa_t')
                self.SMH.makeScaling('hzg',
                                     Cb='kappa_b',
                                     Ctop='kappa_t',
                                     CW='kappa_V',
                                     Ctau='kappa_t')
        else:
            self.modelBuilder.factory_(
                'expr::Scaling_hgluglu("@0*@0", kappa_g)')
            self.modelBuilder.factory_('expr::Scaling_hgg("@0*@0", kappa_gam)')
            self.modelBuilder.factory_('expr::Scaling_hzg("@0*@0", kappa_gam)')
            self.modelBuilder.factory_(
                'expr::Scaling_ggH_7TeV("@0*@0", kappa_g)')
            self.modelBuilder.factory_(
                'expr::Scaling_ggH_8TeV("@0*@0", kappa_g)')
            self.modelBuilder.factory_(
                'expr::Scaling_ggH_13TeV("@0*@0", kappa_g)')
            self.modelBuilder.factory_(
                'expr::Scaling_ggH_14TeV("@0*@0", kappa_g)')

        ## partial witdhs, normalized to the SM one
        self.modelBuilder.factory_(
            'expr::c7_Gscal_Z("@0*@0*@1*@2", kappa_V, SM_BR_hzz, HiggsDecayWidth_UncertaintyScaling_hzz)'
        )
        self.modelBuilder.factory_(
            'expr::c7_Gscal_W("@0*@0*@1*@2", kappa_V, SM_BR_hww, HiggsDecayWidth_UncertaintyScaling_hww)'
        )
        if not self.coupleTopTau:
            self.modelBuilder.factory_(
                'expr::c7_Gscal_tau("@0*@0*@1*@4+@2*@2*@3*@5", kappa_tau, SM_BR_htt, kappa_mu_expr, SM_BR_hmm, HiggsDecayWidth_UncertaintyScaling_htt, HiggsDecayWidth_UncertaintyScaling_hmm)'
            )
        else:
            self.modelBuilder.factory_(
                'expr::c7_Gscal_tau("@0*@0*@1*@4+@2*@2*@3*@5", kappa_t, SM_BR_htt, kappa_mu_expr, SM_BR_hmm, HiggsDecayWidth_UncertaintyScaling_htt, HiggsDecayWidth_UncertaintyScaling_hmm)'
            )
        self.modelBuilder.factory_(
            'expr::c7_Gscal_top("@0*@0 * @1*@2", kappa_c, SM_BR_hcc, HiggsDecayWidth_UncertaintyScaling_hcc)'
        )
        self.modelBuilder.factory_(
            'expr::c7_Gscal_bottom("@0*@0 * (@1*@3+@2)", kappa_b, SM_BR_hbb, SM_BR_hss, HiggsDecayWidth_UncertaintyScaling_hbb)'
        )
        self.modelBuilder.factory_(
            'expr::c7_Gscal_gluon("  @0  * @1 * @2", Scaling_hgluglu, SM_BR_hgluglu, HiggsDecayWidth_UncertaintyScaling_hgluglu)'
        )
        self.modelBuilder.factory_(
            'expr::c7_Gscal_gamma("@0*@1*@4 + @2*@3*@5",  Scaling_hgg, SM_BR_hgg, Scaling_hzg, SM_BR_hzg, HiggsDecayWidth_UncertaintyScaling_hgg, HiggsDecayWidth_UncertaintyScaling_hzg)'
        )
        # fix to have all BRs add up to unity
        self.modelBuilder.factory_("sum::c7_SMBRs(%s)" % (",".join(
            "SM_BR_" + X
            for X in "hzz hww htt hmm hcc hbb hss hgluglu hgg hzg".split())))
        self.modelBuilder.out.function("c7_SMBRs").Print("")

        ## total witdh, normalized to the SM one
        self.modelBuilder.factory_(
            'expr::c7_Gscal_tot("(@1+@2+@3+@4+@5+@6+@7)/@8/(1-@0)", BRinv, c7_Gscal_Z, c7_Gscal_W, c7_Gscal_tau, c7_Gscal_top, c7_Gscal_bottom, c7_Gscal_gluon, c7_Gscal_gamma, c7_SMBRs)'
        )

        ## BRs, normalized to the SM ones: they scale as (partial/partial_SM) / (total/total_SM)
        self.modelBuilder.factory_(
            'expr::c7_BRscal_hww("@0*@0*@2/@1", kappa_V, c7_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hww)'
        )
        self.modelBuilder.factory_(
            'expr::c7_BRscal_hzz("@0*@0*@2/@1", kappa_V, c7_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hzz)'
        )
        if not self.coupleTopTau:
            self.modelBuilder.factory_(
                'expr::c7_BRscal_htt("@0*@0*@2/@1", kappa_tau, c7_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_htt)'
            )
        else:
            self.modelBuilder.factory_(
                'expr::c7_BRscal_htt("@0*@0*@2/@1", kappa_t, c7_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_htt)'
            )
        self.modelBuilder.factory_(
            'expr::c7_BRscal_hmm("@0*@0*@2/@1", kappa_mu_expr, c7_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hmm)'
        )
        self.modelBuilder.factory_(
            'expr::c7_BRscal_hbb("@0*@0*@2/@1", kappa_b, c7_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hbb)'
        )
        self.modelBuilder.factory_(
            'expr::c7_BRscal_hcc("@0*@0*@2/@1", kappa_c, c7_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hcc)'
        )
        self.modelBuilder.factory_(
            'expr::c7_BRscal_hgg("@0*@2/@1", Scaling_hgg, c7_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hgg)'
        )
        self.modelBuilder.factory_(
            'expr::c7_BRscal_hzg("@0*@2/@1", Scaling_hzg, c7_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hzg)'
        )
        self.modelBuilder.factory_(
            'expr::c7_BRscal_hgluglu("@0*@2/@1", Scaling_hgluglu, c7_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hgluglu)'
        )

        self.modelBuilder.factory_('expr::c7_BRscal_hinv("@0", BRinv)')

    def getHiggsSignalYieldScale(self, production, decay, energy):
        name = "c7_XSBRscal_%s_%s_%s" % (production, decay, energy)
        if self.modelBuilder.out.function(name) == None:
            if production in ["ggH", "qqH", "ggZH", "tHq", "tHW"]:
                XSscal = ("@0", "Scaling_%s_%s" % (production, energy))
            elif production == "WH":
                XSscal = ("@0*@0", "kappa_V")
            elif production == "ZH":
                XSscal = ("@0*@0", "kappa_V")
            elif production == "ttH":
                XSscal = ("@0*@0", "kappa_t")
            elif production == "bbH":
                XSscal = ("@0*@0", "kappa_b")
            else:
                raise RuntimeError, "Production %s not supported" % production
            BRscal = decay
            if not self.modelBuilder.out.function("c7_BRscal_" + BRscal):
                raise RuntimeError, "Decay mode %s not supported" % decay
            if decay == "hss": BRscal = "hbb"
            if production in ['tHq', 'tHW', 'ttH']:
                self.modelBuilder.factory_(
                    'expr::%s("%s*@1*@2", %s, c7_BRscal_%s, r)' %
                    (name, XSscal[0], XSscal[1], BRscal))
            elif production == "ggH" and (decay
                                          in self.add_bbH) and energy in [
                                              "7TeV", "8TeV", "13TeV", "14TeV"
                                          ]:
                b2g = "CMS_R_bbH_ggH_%s_%s[%g]" % (decay, energy, 0.01)
                b2gs = "CMS_bbH_scaler_%s" % energy
                self.modelBuilder.factory_(
                    'expr::%s("(%s + @1*@1*@2*@3)*@4", %s, kappa_b, %s, %s, c7_BRscal_%s)'
                    % (name, XSscal[0], XSscal[1], b2g, b2gs, BRscal))
            else:
                self.modelBuilder.factory_(
                    'expr::%s("%s*@1*@2", %s, c7_BRscal_%s,r)' %
                    (name, XSscal[0], XSscal[1], BRscal))
            print '[LHC-HCG Kappas]', name, production, decay, energy, ": ",
            self.modelBuilder.out.function(name).Print("")
        return name
Exemplo n.º 2
0
class HHModel(PhysicsModel):
    """ Models the HH production as linear sum of 6 components (VBF) and 3 components (GGF) """

    #scaleBR=True to scale for branching ratio dependence
    #setBR1 to overwrite the single Higgs decay mode and one of the double Higgs decay modes
    #setBR2 to overwrite the second decay mode of double Higgs
    def __init__(self,
                 ggf_sample_list,
                 vbf_sample_list,
                 name,
                 setBR1="",
                 setBR2=""):
        PhysicsModel.__init__(self)

        self.name = name

        self.check_validity_ggf(ggf_sample_list)
        self.check_validity_vbf(vbf_sample_list)

        self.ggf_formula = GGFHHFormula(ggf_sample_list)
        self.vbf_formula = VBFHHFormula(vbf_sample_list)

        self.setBR1 = setBR1
        self.setBR2 = setBR2
        self.scaleBR = True

        # include branching ratio uncertainties in the systematics
        # if only one single HH channel is considered, it is suggested to
        # include the specific BR uncertainty(s) directly in the datacard.
        # This should be re-evaluated for a HH combination
        self.doBRU = False

        self.dump_inputs()
        self.f_r_singleH_names = []

    def setPhysicsOptions(self, physOptions):
        for po in physOptions:
            if po.startswith("BRU="):
                self.doBRU = (po.replace("BRU=", "")
                              in ["yes", "1", "Yes", "True", "true"])
            if po.startswith("scaleBR="):
                self.scaleBR = (po.replace("BRU=", "")
                                in ["no", "0", "No", "False", "false"])

        print "BR uncertainties in partial widths: %s " % self.doBRU

    def check_validity_ggf(self, ggf_sample_list):
        if len(ggf_sample_list) != 3:
            raise RuntimeError(
                "%s : malformed GGF input sample list - expect 3 samples" %
                self.name)
        if not isinstance(ggf_sample_list, list) and not isinstance(
                ggf_sample_list, tuple):
            raise RuntimeError(
                "%s : malformed GGF input sample list - expect list or tuple" %
                self.name)
        for s in ggf_sample_list:
            if not isinstance(s, GGFHHSample):
                raise RuntimeError(
                    "%s : malformed GGF input sample list - each element must be a GGFHHSample"
                    % self.name)

    def check_validity_vbf(self, vbf_sample_list):
        if len(vbf_sample_list) != 6:
            raise RuntimeError(
                "%s : malformed VBF input sample list - expect 6 samples" %
                self.name)
        if not isinstance(vbf_sample_list, list) and not isinstance(
                vbf_sample_list, tuple):
            raise RuntimeError(
                "%s : malformed VBF input sample list - expect list or tuple" %
                self.name)
        for s in vbf_sample_list:
            if not isinstance(s, VBFHHSample):
                raise RuntimeError(
                    "%s : malformed VBF input sample list - each element must be a VBFHHSample"
                    % self.name)

    def dump_inputs(self):
        print "[INFO]  HH model : ", self.name
        print "......  GGF configuration"
        for i, s in enumerate(self.ggf_formula.sample_list):
            print "        {0:<3} ... kl : {1:<3}, kt : {2:<3}, xs : {3:<3.8f} pb, label : {4}".format(
                i, s.val_kl, s.val_kt, s.val_xs, s.label)
        print "......  VBF configuration"
        for i, s in enumerate(self.vbf_formula.sample_list):
            print "        {0:<3} ... CV : {1:<3}, C2V : {2:<3}, kl : {3:<3}, xs : {4:<3.8f} pb, label : {5}".format(
                i, s.val_CV, s.val_C2V, s.val_kl, s.val_xs, s.label)

    def doParametersOfInterest(self):

        ## the model is built with:
        ## r x [GGF + VBF]
        ## GGF = r_GGF x [sum samples(kl, kt)]
        ## VBF = r_VBF x [sum samples(kl, CV, C2V)]

        POIs = "r,r_gghh,r_qqhh,CV,C2V,kl,kt"

        self.modelBuilder.doVar("r[1,0,10]")
        self.modelBuilder.doVar("r_gghh[1,0,10]")
        self.modelBuilder.doVar("r_qqhh[1,0,10]")
        self.modelBuilder.doVar("CV[1,-10,10]")
        self.modelBuilder.doVar("C2V[1,-10,10]")
        self.modelBuilder.doVar("kl[1,-30,30]")
        self.modelBuilder.doVar("kt[1,-10,10]")

        self.modelBuilder.doSet("POI", POIs)
        self.SMH = SMHiggsBuilder(self.modelBuilder)

        self.modelBuilder.out.var("r_gghh").setConstant(True)
        self.modelBuilder.out.var("r_qqhh").setConstant(True)
        self.modelBuilder.out.var("CV").setConstant(True)
        self.modelBuilder.out.var("C2V").setConstant(True)
        self.modelBuilder.out.var("kl").setConstant(True)
        self.modelBuilder.out.var("kt").setConstant(True)

        #I need to build MH variables because the BR are tabulated as a function of MH
        # the mass setting must be provided as input, i.e. '-m 125'
        if self.modelBuilder.out.var("MH"):
            self.modelBuilder.out.var("MH").setVal(self.options.mass)
            self.modelBuilder.out.var("MH").setConstant(True)
        else:
            self.modelBuilder.doVar("MH[%g]" % self.options.mass)

        self.create_scalings()

    def create_scalings(self):
        """ create the functions that scale the six components of vbf and the 3 components of ggf """

        ######################################################################
        #create Higgs BR scalings
        for d in SM_HIGG_DECAYS + ["hss"]:
            self.SMH.makeBR(d)

        # BR uncertainties
        if self.doBRU:
            self.SMH.makePartialWidthUncertainties()
        else:
            for d in SM_HIGG_DECAYS:
                self.modelBuilder.factory_(
                    'HiggsDecayWidth_UncertaintyScaling_%s[1.0]' % d)

        # fix to have all BRs add up to unity
        self.modelBuilder.factory_("sum::c7_SMBRs(%s)" % (",".join(
            "SM_BR_" + X
            for X in "hzz hww htt hmm hcc hbb hss hgluglu hgg hzg".split())))
        self.modelBuilder.out.function("c7_SMBRs").Print("")

        # get VBF, tHq, tHW, ggZH cross section and resolved loops
        self.SMH.makeScaling('qqH', CW='CV', CZ='CV')
        self.SMH.makeScaling("tHq", CW='CV', Ctop="kt")
        self.SMH.makeScaling("tHW", CW='CV', Ctop="kt")
        self.SMH.makeScaling("ggZH", CZ='CV', Ctop="kt", Cb="1")
        self.SMH.makeScaling('ggH', Cb='1', Ctop='kt', Cc="1")
        self.SMH.makeScaling('hgluglu', Cb='1', Ctop='kt')
        self.SMH.makeScaling('hgg', Cb='1', Ctop='kt', CW='CV', Ctau='1')
        self.SMH.makeScaling('hzg', Cb='1', Ctop='kt', CW='CV', Ctau='1')

        cGammap = {
            "hgg": 0.49e-2,
            "hzz": 0.83e-2,
            "hww": 0.73e-2,
            "hgluglu": 0.66e-2,
            "htt": 0,
            "hbb": 0,
            "hcc": 0,
            "hmm": 0
        }

        # First we need to create the terms that account for the self-coupling --> Just scale partial width first - https://arxiv.org/abs/1709.08649 Eq 22.
        # probably a better way to code this since the partial width expressions are being repeated when we write the BR
        for dec in cGammap.keys():
            valC1 = cGammap[dec]
            self.modelBuilder.factory_('expr::kl_scalBR_%s("(@0-1)*%g",kl)' %
                                       (dec, valC1))

        # next make the partial widths, also including the kappas -> we want to include the term from the normal kappas and the one from the self-coupling
        self.modelBuilder.factory_(
            'expr::kVktkl_Gscal_Z("(@0*@0+@3)*@1*@2", CV, SM_BR_hzz, HiggsDecayWidth_UncertaintyScaling_hzz, kl_scalBR_hzz)'
        )
        self.modelBuilder.factory_(
            'expr::kVktkl_Gscal_W("(@0*@0+@3)*@1*@2", CV, SM_BR_hww, HiggsDecayWidth_UncertaintyScaling_hww, kl_scalBR_hww)'
        )
        self.modelBuilder.factory_(
            'expr::kVktkl_Gscal_tau("(1+@4)*@0*@2 + (1+@5)*@1*@3", SM_BR_htt, SM_BR_hmm, HiggsDecayWidth_UncertaintyScaling_htt, HiggsDecayWidth_UncertaintyScaling_hmm,kl_scalBR_htt, kl_scalBR_hmm)'
        )
        self.modelBuilder.factory_(
            'expr::kVktkl_Gscal_top("(1+@2)*@0*@1", SM_BR_hcc, HiggsDecayWidth_UncertaintyScaling_hcc, kl_scalBR_hcc)'
        )
        self.modelBuilder.factory_(
            'expr::kVktkl_Gscal_bottom("(1+@3) * (@0*@2+@1)", SM_BR_hbb, SM_BR_hss, HiggsDecayWidth_UncertaintyScaling_hbb, kl_scalBR_hbb)'
        )
        self.modelBuilder.factory_(
            'expr::kVktkl_Gscal_gluon("  (@0+@3)  * @1 * @2", Scaling_hgluglu, SM_BR_hgluglu, HiggsDecayWidth_UncertaintyScaling_hgluglu, kl_scalBR_hgluglu)'
        )
        self.modelBuilder.factory_(
            'expr::kVktkl_Gscal_gamma("(@0+@6)*@1*@4 + @2*@3*@5",  Scaling_hgg, SM_BR_hgg, Scaling_hzg, SM_BR_hzg, HiggsDecayWidth_UncertaintyScaling_hgg, HiggsDecayWidth_UncertaintyScaling_hzg, kl_scalBR_hgg)'
        )  # no kl dependance on H->zg known yet ?
        # fix to have all BRs add up to unity
        self.modelBuilder.factory_("sum::kVktkl_SMBRs(%s)" % (",".join(
            "SM_BR_" + X
            for X in "hzz hww htt hmm hcc hbb hss hgluglu hgg hzg".split())))
        self.modelBuilder.out.function("kVktkl_SMBRs").Print("")

        ## total witdh, normalized to the SM one (just the sum over the partial widths/SM total BR)
        self.modelBuilder.factory_(
            'expr::kVktkl_Gscal_tot("(@0+@1+@2+@3+@4+@5+@6)/@7", kVktkl_Gscal_Z, kVktkl_Gscal_W, kVktkl_Gscal_tau, kVktkl_Gscal_top, kVktkl_Gscal_bottom, kVktkl_Gscal_gluon, kVktkl_Gscal_gamma, kVktkl_SMBRs)'
        )

        ## BRs, normalized to the SM ones: they scale as (partial/partial_SM) / (total/total_SM)
        self.modelBuilder.factory_(
            'expr::kVktkl_BRscal_hww("(@0*@0+@3)*@2/@1", CV, kVktkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hww, kl_scalBR_hww)'
        )
        self.modelBuilder.factory_(
            'expr::kVktkl_BRscal_hzz("(@0*@0+@3)*@2/@1", CV, kVktkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hzz, kl_scalBR_hzz)'
        )
        self.modelBuilder.factory_(
            'expr::kVktkl_BRscal_htt("(1+@2)*@1/@0", kVktkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_htt, kl_scalBR_htt)'
        )
        self.modelBuilder.factory_(
            'expr::kVktkl_BRscal_hmm("(1+@2)*@1/@0", kVktkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hmm, kl_scalBR_hmm)'
        )
        self.modelBuilder.factory_(
            'expr::kVktkl_BRscal_hbb("(1+@2)*@1/@0", kVktkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hbb, kl_scalBR_hbb)'
        )
        self.modelBuilder.factory_(
            'expr::kVktkl_BRscal_hcc("(1+@2)*@1/@0", kVktkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hcc, kl_scalBR_hcc)'
        )
        self.modelBuilder.factory_(
            'expr::kVktkl_BRscal_hgg("(@0+@3)*@2/@1", Scaling_hgg, kVktkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hgg,kl_scalBR_hgg)'
        )
        self.modelBuilder.factory_(
            'expr::kVktkl_BRscal_hzg("@0*@2/@1", Scaling_hzg, kVktkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hzg)'
        )
        self.modelBuilder.factory_(
            'expr::kVktkl_BRscal_hgluglu("(@0+@3)*@2/@1", Scaling_hgluglu, kVktkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hgluglu, kl_scalBR_hgluglu)'
        )

        ######################################################################
        #create single Higgs production scalings
        energy = "13TeV"
        cXSmap_13 = {
            "ggH": 0.66e-2,
            "qqH": 0.64e-2,
            "WH": 1.03e-2,
            "ZH": 1.19e-2,
            "ttH": 3.51e-2,
            "VH": (0.5 * (1.03e-2 + 1.19e-2))
        }
        EWKmap_13 = {
            "ggH": 1.049,
            "qqH": 0.932,
            "WH": 0.93,
            "ZH": 0.947,
            "ttH": 1.014,
            "VH": (0.5 * (0.93 + 0.947))
        }
        dZH = -1.536e-3

        for production in SM_HIGG_PROD:

            if production in ["ggZH", "tHq", "tHW"]:
                self.f_r_singleH_names.append("Scaling_%s_%s" %
                                              (production, energy))

            elif production in ["ggH", "qqH"]:
                EWK = EWKmap_13[production]
                self.modelBuilder.factory_("expr::kVktkl_XSscal_%s_%s(\"(@1+(@0-1)*%g/%g)/((1-(@0*@0-1)*%g))\",kl,Scaling_%s_%s)"\
                                           %(production,energy,cXSmap_13[production],EWK,dZH,production,energy))
                self.f_r_singleH_names.append("kVktkl_XSscal_%s_%s" %
                                              (production, energy))

            elif production in ["ZH", "WH", "VH"]:
                EWK = EWKmap_13[production]
                self.modelBuilder.factory_("expr::kVktkl_XSscal_%s_%s(\"(@1*@1+(@0-1)*%g/%g)/((1-(@0*@0-1)*%g))\",kl,CV)"\
                                           %(production,energy,cXSmap_13[production],EWK,dZH))
                self.f_r_singleH_names.append("kVktkl_XSscal_%s_%s" %
                                              (production, energy))

            elif production == "ttH":
                EWK = EWKmap_13[production]
                self.modelBuilder.factory_("expr::kVktkl_XSscal_%s_%s(\"(@1*@1+(@0-1)*%g/%g)/((1-(@0*@0-1)*%g))\",kl,kt)"\
                                           %(production,energy,cXSmap_13[production],EWK,dZH))
                self.f_r_singleH_names.append("kVktkl_XSscal_%s_%s" %
                                              (production, energy))

        self.f_r_vbf_names = [
        ]  # the RooFormulae that scale the components (VBF)
        self.f_r_ggf_names = [
        ]  # the RooFormulae that scale the components (GGF)

        def pow_to_mul_string(expr):
            """ Convert integer powers in an expression to Muls, like a**2 => a*a. Returns a string """
            pows = list(expr.atoms(Pow))
            if any(not e.is_Integer
                   for b, e in (i.as_base_exp() for i in pows)):
                raise ValueError("A power contains a non-integer exponent")
            s = str(expr)
            repl = zip(pows, (Mul(*[b] * e, evaluate=False)
                              for b, e in (i.as_base_exp() for i in pows)))
            for fr, to in repl:
                s = s.replace(str(fr), str(to))
            return s

        ### loop on the GGF scalings
        for i, s in enumerate(self.ggf_formula.sample_list):
            f_name = 'f_ggfhhscale_sample_{0}'.format(i)
            f_expr = self.ggf_formula.coeffs[
                i]  # the function that multiplies each sample

            # print f_expr
            # for ROOFit, this will convert expressions as a**2 to a*a
            s_expr = pow_to_mul_string(f_expr)

            couplings_in_expr = []
            if 'kl' in s_expr: couplings_in_expr.append('kl')
            if 'kt' in s_expr: couplings_in_expr.append('kt')

            # no constant expressions are expected
            if len(couplings_in_expr) == 0:
                raise RuntimeError(
                    'GGF HH : scaling expression has no coefficients')

            for idx, ce in enumerate(couplings_in_expr):
                # print '..replacing', ce
                symb = '@{}'.format(idx)
                s_expr = s_expr.replace(ce, symb)

            arglist = ','.join(couplings_in_expr)
            exprname = 'expr::{}(\"{}\" , {})'.format(f_name, s_expr, arglist)
            # print exprname
            self.modelBuilder.factory_(
                exprname)  # the function that scales each VBF sample

            f_prod_name_pmode = f_name + '_r_gghh'
            prodname_pmode = 'prod::{}(r_gghh,{})'.format(
                f_prod_name_pmode, f_name)
            self.modelBuilder.factory_(
                prodname_pmode
            )  ## the function that scales this production mode
            # self.modelBuilder.out.function(f_prod_name).Print("") ## will just print out the values

            f_prod_name = f_prod_name_pmode + '_r'
            prodname = 'prod::{}(r,{})'.format(f_prod_name, f_prod_name_pmode)
            self.modelBuilder.factory_(
                prodname)  ## the function that scales this production mode
            # self.modelBuilder.out.function(f_prod_name).Print("") ## will just print out the values

            self.f_r_ggf_names.append(
                f_prod_name)  #bookkeep the scaling that has been created

        ### loop on the VBF scalings
        for i, s in enumerate(self.vbf_formula.sample_list):
            f_name = 'f_vbfhhscale_sample_{0}'.format(i)
            f_expr = self.vbf_formula.coeffs[
                i]  # the function that multiplies each sample

            # print f_expr
            # for ROOFit, this will convert expressions as a**2 to a*a
            s_expr = pow_to_mul_string(f_expr)

            couplings_in_expr = []
            if 'CV' in s_expr: couplings_in_expr.append('CV')
            if 'C2V' in s_expr: couplings_in_expr.append('C2V')
            if 'kl' in s_expr: couplings_in_expr.append('kl')

            # no constant expressions are expected
            if len(couplings_in_expr) == 0:
                raise RuntimeError(
                    'VBF HH : scaling expression has no coefficients')

            for idx, ce in enumerate(couplings_in_expr):
                # print '..replacing', ce
                symb = '@{}'.format(idx)
                s_expr = s_expr.replace(ce, symb)

            arglist = ','.join(couplings_in_expr)
            exprname = 'expr::{}(\"{}\" , {})'.format(f_name, s_expr, arglist)
            # print exprname
            self.modelBuilder.factory_(
                exprname)  # the function that scales each VBF sample

            f_prod_name_pmode = f_name + '_r_qqhh'
            prodname_pmode = 'prod::{}(r_qqhh,{})'.format(
                f_prod_name_pmode, f_name)
            self.modelBuilder.factory_(
                prodname_pmode
            )  ## the function that scales this production mode
            # self.modelBuilder.out.function(f_prod_name_pmode).Print("") ## will just print out the values

            f_prod_name = f_prod_name_pmode + '_r'
            prodname = 'prod::{}(r,{})'.format(f_prod_name, f_prod_name_pmode)
            self.modelBuilder.factory_(
                prodname)  ## the function that scales this production mode
            # self.modelBuilder.out.function(f_prod_name).Print("") ## will just print out the values

            self.f_r_vbf_names.append(
                f_prod_name)  #bookkeep the scaling that has been created

    def getYieldScale(self, bin, process):

        if not self.DC.isSignal[process]: return 1
        processSource = process.split("_")[0]

        # It might happen that I use a different process naming than the default one
        # In that case I will convert it to the default naming
        if not processSource in processSource_dict:
            for defaultname, equivalentnames in processSource_dict.items():
                for equivalentname in equivalentnames:
                    if processSource == equivalentname:
                        print "[WARNING]: process name \"%s\" is not the default name but I found it equivalent to \"%s\"" % (
                            processSource, defaultname)
                        print "           --> if this is not the case fix the naming!"
                        processSource = defaultname

        decaySource = []
        if self.setBR1 != "":
            decaySource.append(self.setBR1)
        else:
            decaySource.append(process.split("_")[-1])

        #in case of HH I have to consider an additional Higgs decay
        if processSource == "ggHH" or processSource == "qqHH":
            if self.setBR2 != "":
                decaySource.append(self.setBR2)
            else:
                decaySource.append(process.split("_")[-2])

        if not (processSource == "ggHH" or processSource == "qqHH"):
            if (processSource == "bbH"):
                return 1  #neglect bbH dependence on kl
            for XS_scaling_name in self.f_r_singleH_names:
                if processSource in XS_scaling_name:
                    if not self.modelBuilder.out.function("kVktkl_BRscal_" +
                                                          decaySource[0]):
                        raise RuntimeError, "Decay mode %s not supported" % decaySource[
                            0]
                    if not self.scaleBR:
                        return XS_scaling_name
                    else:
                        BR_scaling_name = "kVktkl_BRscal_" + decaySource[0]
                        XSBR_scaling_name = "kVktkl_XSBRscal_%s_%s" % (
                            processSource, decaySource[0])
                        if not self.modelBuilder.out.function(
                                XSBR_scaling_name):
                            self.modelBuilder.factory_(
                                "expr::%s(\"0.+@0*(@0>0.)*@1\",%s,%s)" %
                                (XSBR_scaling_name, XS_scaling_name,
                                 BR_scaling_name)
                            )  #I used a trick to avoid negative XS reweights
                        return XSBR_scaling_name

        #if I am here I have a double H process or an unsopported process
        ## my control to verify for a unique association between process <-> scaling function
        try:
            self.scalingMap
        except AttributeError:
            self.scalingMap = {}

        # match the process name in the datacard to the input sample of the calculation
        # this is the only point where the two things must be matched

        if not process in self.scalingMap:
            self.scalingMap[process] = []

        imatched_ggf = []
        imatched_vbf = []

        for isample, sample in enumerate(self.ggf_formula.sample_list):
            if process.startswith(sample.label):
                # print self.name, ": {:>40}  ===> {:>40}".format(process, sample.label)
                imatched_ggf.append(isample)

        for isample, sample in enumerate(self.vbf_formula.sample_list):
            if process.startswith(sample.label):
                # print self.name, ": {:>40}  ===> {:>40}".format(process, sample.label)
                imatched_vbf.append(isample)

        ## this checks that a process finds a unique scaling
        if len(imatched_ggf) + len(imatched_vbf) != 1:
            print "[ERROR] : in HH model named", self.name, "there are", len(
                imatched_ggf), "GGF name matches and", len(
                    imatched_vbf), "VBF name matches"
            raise RuntimeError(
                'HHModel : could not uniquely match the process %s to the expected sample list'
                % process)

        if len(imatched_ggf) == 1:
            isample = imatched_ggf[0]
            self.scalingMap[process].append((isample, 'GGF'))
            XS_scaling_name = self.f_r_ggf_names[isample]
            if not self.scaleBR:
                return XS_scaling_name
            else:
                BR1_scaling_name = "kVktkl_BRscal_" + decaySource[0]
                BR2_scaling_name = "kVktkl_BRscal_" + decaySource[1]
                if not self.modelBuilder.out.function(BR1_scaling_name):
                    raise RuntimeError, "Decay mode %s not supported" % BR1_scaling_name
                if not self.modelBuilder.out.function(BR2_scaling_name):
                    raise RuntimeError, "Decay mode %s not supported" % BR2_scaling_name
                XSBR_scaling_name = "%s_%s_%s" % (
                    XS_scaling_name, decaySource[0], decaySource[1])
                if not self.modelBuilder.out.function(XSBR_scaling_name):
                    self.modelBuilder.factory_(
                        'expr::%s("@0*@1*@2",%s,%s,%s)' %
                        (XSBR_scaling_name, XS_scaling_name, BR1_scaling_name,
                         BR2_scaling_name))
                return XSBR_scaling_name

        if len(imatched_vbf) == 1:
            isample = imatched_vbf[0]
            self.scalingMap[process].append((isample, 'VBF'))
            XS_scaling_name = self.f_r_vbf_names[isample]
            if not self.scaleBR:
                return XS_scaling_name
            else:
                BR1_scaling_name = "kVktkl_BRscal_" + decaySource[0]
                BR2_scaling_name = "kVktkl_BRscal_" + decaySource[1]
                if not self.modelBuilder.out.function(BR1_scaling_name):
                    raise RuntimeError, "Decay mode %s not supported" % BR1_scaling_name
                if not self.modelBuilder.out.function(BR2_scaling_name):
                    raise RuntimeError, "Decay mode %s not supported" % BR2_scaling_name
                XSBR_scaling_name = "%s_%s_%s" % (
                    XS_scaling_name, decaySource[0], decaySource[1])
                if not self.modelBuilder.out.function(XSBR_scaling_name):
                    self.modelBuilder.factory_(
                        'expr::%s("@0*@1*@2",%s,%s,%s)' %
                        (XSBR_scaling_name, XS_scaling_name, BR1_scaling_name,
                         BR2_scaling_name))
                return XSBR_scaling_name

        raise RuntimeError(
            'HHModel : fatal error in getYieldScale - this should never happen'
        )

    def done(self):
        ## this checks that a scaling has been attached to a unique process
        scalings = {}
        for k, i in self.scalingMap.items(
        ):  ## key -> process, item -> [(isample, 'type')]
            samples = list(set(i))  # remove duplicates
            for s in samples:
                if not s in scalings:
                    scalings[s] = []
                scalings[s].append(k)

        for key, val in scalings.items():
            if len(val) > 1:
                print "[WARNING] : in HH model named", self.name, "there is a double assignment of a scaling : ", key, " ==> ", val
                #raise RuntimeError('HHModel : coudl not uniquely match the scaling to the process')

        ## now check that, if a VBF/GGF scaling exists, there are actually 6/3 samples in the card
        n_VBF = 0
        n_GGF = 0
        for k, i in self.scalingMap.items():
            # the step above ensured me that the list contains a single element -> i[0]
            if i[0][1] == "GGF":
                n_GGF += 1
            elif i[0][1] == "VBF":
                n_VBF += 1
            else:
                raise RuntimeError(
                    "HHModel : unrecognised type %s - should never happen" %
                    i[0][1])

        if n_GGF > 0 and n_GGF < 3:
            raise RuntimeError(
                "HHModel : you did not pass all the 3 samples needed to build the GGF HH model"
            )

        if n_VBF > 0 and n_VBF < 6:
            raise RuntimeError(
                "HHModel : you did not pass all the 6 samples needed to build the VBF HH model"
            )
class StageXToEFTModel(STXStoEFTBaseModel):
  def __init__(self,stage):
    STXStoEFTBaseModel.__init__(self)
    self.stage = stage
    import HiggsAnalysis.CombinedLimit.STXS as STXS
    self.PROCESSES['stage%s'%self.stage] = [x for v in getattr(STXS,"stage%s_procs"%self.stage).itervalues() for x in v] 
    self.PROCESSES["fixedproc"] = STXS.fixed_procs
    self.DECAYS = ['hzz','hbb','htt','hww','hgg','hgluglu','hcc','hzg','hmm','tot']

  def setPhysicsOptions(self,physOptions):
    self.setPhysicsOptionsBase(physOptions)
  
  def doParametersOfInterest(self):
    if self.floatMass: print " --> [WARNING] Floating Higgs mass selected. STXStoEFT model assumes MH=125.0 GeV"
    self.doMH()
    self.SMH = SMHiggsBuilder(self.modelBuilder)
    
    #Read in parameter list from file using textToPOIList function
    self.textToPOIList( os.path.join(self.SMH.datadir,'eft/HEL/pois.txt') )
    POIs = ','.join(self.pois.keys())
    for poi, poi_range in self.pois.iteritems(): 
      self.modelBuilder.doVar("%s%s"%(poi,poi_range))
    self.modelBuilder.doSet("POI",POIs)
    #POIs for cWW and cB defined in terms of constraints on cWW+cB and cWW-cB: define expression for individual coefficient
    self.modelBuilder.factory_("expr::cWW_x02(\"0.5*(@0+@1)\",cWWPluscB_x02,cWWMinuscB_x02)")
    self.modelBuilder.factory_("expr::cB_x02(\"0.5*(@0-@1)\",cWWPluscB_x02,cWWMinuscB_x02)")
    self.poi_scaling['cWW'] = "0.01*cWW_x02"
    self.poi_scaling['cB'] = "0.01*cB_x02"
    
    # Freeze cWW+cB if freezeOtherParameters
    if self.freezeOtherParameters: 
      for poi in self.pois: 
        if 'cWWPluscB' in poi: self.modelBuilder.out.var( poi ).setConstant(True)

    #set up model
    self.setup()

  #~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  def setup(self):
    #For additional options e.g. STXS/BR uncertainties: defined in base class
    if self.doBRU: self.SMH.makePartialWidthUncertainties()
    if self.doSTXSU: self.makeSTXSBinUncertainties( STXSstage=self.stage )

    # Read scaling functions for STXS bins and decays from txt files
    self.textToSTXSScalingFunctions( os.path.join(self.SMH.datadir, 'eft/HEL/stage%s_xs.txt'%self.stage) )
    self.textToDecayScalingFunctions( os.path.join(self.SMH.datadir, 'eft/HEL/decay.txt' ) )

    # Make scaling functions for STXS processes
    for proc in self.PROCESSES["stage%s"%self.stage]: self.makeScalingFunction( proc, STXSstage=self.stage )

    # Make dummy scaling (=1) for fixed procs
    for proc in self.PROCESSES["fixedproc"]: self.modelBuilder.factory_("expr::scaling_%s(\"@0\",1.)"%proc)

    # Make partial width + total width scaling functions
    for dec in self.DECAYS: self.makeScalingFunction( dec )
    # Make BR scaling functions: partial width/total width
    for dec in self.DECAYS:
      if dec != "tot": self.makeBRScalingFunction( dec )
    
  #~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  def getHiggsSignalYieldScale(self,production,decay,energy):
    name = "stxstoeft_scaling_%s_%s_%s"%(production,decay,energy)
    if self.modelBuilder.out.function(name) == None:

      XSscal = None
      BRscal = None

      # Extract STXS stage process belongs to: in descreasing order as want most recent th. unc
      if production in self.PROCESSES['stage%s'%self.stage]: key = "stage%s"%self.stage
      elif production in self.PROCESSES['fixedproc']: key = "fixedproc" 
      else:
        raise ValueError("[ERROR] Process %s is not supported in STXStoEFT Model (stage %s)"%(production,self.stage))
      # Give production correct scaling
      XSscal = "scaling_%s"%production
     
      # Check decay scaling exists:
      if decay in self.DECAYS: BRscal = "scaling_BR_%s"%decay
      else:
        raise ValueError("[ERROR] Decay %s is not supported in STXStoEFT Model"%decay)

      # Uncertainty scaling: BR and STXS bin uncertainties
      if( self.doSTXSU )&( self.doBRU ):
        THUscaler = "uncertainty_scaling_%s_%s"%(production,decay)
        self.modelBuilder.factory_('expr::uncertainty_scaling_%s_%s(\"@0*@1\",%s_UncertaintyScaling_%s,HiggsDecayWidth_UncertaintyScaling_%s)'%(production,decay,key,production,decay))
      elif( self.doSTXSU ):
        THUscaler = "uncertainty_scaling_%s"%production
        self.modelBuilder.factory_('expr::uncertainty_scaling_%s(\"@0\",%s_UncertaintyScaling_%s)'%(production,key,production))
      elif( self.doBRU ):
        THUscaler = "uncertainty_scaling_%s"%decay
        self.modelBuilder.factory_('expr::uncertainty_scaling_%s(\"@0\",HiggsDecayWidth_UncertaintyScaling_%s)'%(decay,decay))
      
      #Combine XS and BR scaling: incuding theory unc if option selected
      if( self.doSTXSU )|( self.doBRU ): self.modelBuilder.factory_("prod::%s(%s)"%(name,",".join([XSscal,BRscal,THUscaler])))
      else: self.modelBuilder.factory_("prod::%s(%s)"%(name,",".join([XSscal,BRscal])))
      
    return name
class TrilinearHiggsKappaVKappaF(LHCHCGBaseModel):
    "assume the SM coupling but let the Higgs mass to float"

    def __init__(self, BRU=True):
        LHCHCGBaseModel.__init__(self)
        self.doBRU = BRU

    def setPhysicsOptions(self, physOptions):
        self.setPhysicsOptionsBase(physOptions)
        for po in physOptions:
            if po.startswith("BRU="):
                self.doBRU = (po.replace("BRU=", "")
                              in ["yes", "1", "Yes", "True", "true"])
        print "BR uncertainties in partial widths: %s " % self.doBRU

    def doParametersOfInterest(self):
        """Create POI out of signal strength and MH"""
        self.modelBuilder.doVar("kappa_V[1,0.0,2.0]")
        self.modelBuilder.doVar("kappa_F[1,-2.0,2.0]")
        self.modelBuilder.doVar("kappa_lambda[1,-20,20]")
        pois = 'kappa_V,kappa_F,kappa_lambda'
        self.doMH()
        self.modelBuilder.doSet("POI", pois)
        self.SMH = SMHiggsBuilder(self.modelBuilder)
        self.setup()

    def setup(self):

        #self.dobbH()
        # SM BR

        for d in SM_HIGG_DECAYS + ["hss"]:
            self.SMH.makeBR(d)

        # BR uncertainties
        if self.doBRU:
            self.SMH.makePartialWidthUncertainties()
        else:
            for d in SM_HIGG_DECAYS:
                self.modelBuilder.factory_(
                    'HiggsDecayWidth_UncertaintyScaling_%s[1.0]' % d)

        # fix to have all BRs add up to unity
        self.modelBuilder.factory_("sum::c7_SMBRs(%s)" % (",".join(
            "SM_BR_" + X
            for X in "hzz hww htt hmm hcc hbb hss hgluglu hgg hzg".split())))
        self.modelBuilder.out.function("c7_SMBRs").Print("")

        # get VBF, tHq, tHW, ggZH cross section and resolved loops
        self.SMH.makeScaling('qqH', CW='kappa_V', CZ='kappa_V')
        self.SMH.makeScaling("tHq", CW='kappa_V', Ctop="kappa_F")
        self.SMH.makeScaling("tHW", CW='kappa_V', Ctop="kappa_F")
        self.SMH.makeScaling("ggZH",
                             CZ='kappa_V',
                             Ctop="kappa_F",
                             Cb="kappa_F")
        self.SMH.makeScaling('ggH', Cb='kappa_F', Ctop='kappa_F', Cc="kappa_F")
        self.SMH.makeScaling('hgluglu', Cb='kappa_F', Ctop='kappa_F')
        self.SMH.makeScaling('hgg',
                             Cb='kappa_F',
                             Ctop='kappa_F',
                             CW='kappa_V',
                             Ctau='kappa_F')
        self.SMH.makeScaling('hzg',
                             Cb='kappa_F',
                             Ctop='kappa_F',
                             CW='kappa_V',
                             Ctau='kappa_F')

        cGammap = {
            "hgg": 0.49e-2,
            "hzz": 0.83e-2,
            "hww": 0.73e-2,
            "hgluglu": 0.66e-2,
            "htt": 0,
            "hbb": 0,
            "hcc": 0,
            "hmm": 0
        }

        # First we need to create the terms that account for the self-coupling --> Just scale partial width first - https://arxiv.org/abs/1709.08649 Eq 22.
        # probably a better way to code this since the partial width expressions are being repeated when we write the BR
        for dec in cGammap.keys():
            valC1 = cGammap[dec]
            self.modelBuilder.factory_(
                'expr::kl_scalBR_%s("(@0-1)*%g",kappa_lambda)' % (dec, valC1))

# next make the partial widths, also including the kappas -> we want to include the term from the normal kappas and the one from the self-coupling
        self.modelBuilder.factory_(
            'expr::kVkFkl_Gscal_Z("(@0*@0+@3)*@1*@2", kappa_V, SM_BR_hzz, HiggsDecayWidth_UncertaintyScaling_hzz, kl_scalBR_hzz)'
        )
        self.modelBuilder.factory_(
            'expr::kVkFkl_Gscal_W("(@0*@0+@3)*@1*@2", kappa_V, SM_BR_hww, HiggsDecayWidth_UncertaintyScaling_hww, kl_scalBR_hww)'
        )
        self.modelBuilder.factory_(
            'expr::kVkFkl_Gscal_tau("(@0*@0+@6)*@1*@4 + (@2*@2+@7)*@3*@5", kappa_F, SM_BR_htt, kappa_F, SM_BR_hmm, HiggsDecayWidth_UncertaintyScaling_htt, HiggsDecayWidth_UncertaintyScaling_hmm,kl_scalBR_htt, kl_scalBR_hmm)'
        )
        self.modelBuilder.factory_(
            'expr::kVkFkl_Gscal_top("(@0*@0+@3)*@1*@2", kappa_F, SM_BR_hcc, HiggsDecayWidth_UncertaintyScaling_hcc, kl_scalBR_hcc)'
        )
        self.modelBuilder.factory_(
            'expr::kVkFkl_Gscal_bottom("(@0*@0+@4) * (@1*@3+@2)", kappa_F, SM_BR_hbb, SM_BR_hss, HiggsDecayWidth_UncertaintyScaling_hbb, kl_scalBR_hbb)'
        )
        self.modelBuilder.factory_(
            'expr::kVkFkl_Gscal_gluon("  (@0+@3)  * @1 * @2", Scaling_hgluglu, SM_BR_hgluglu, HiggsDecayWidth_UncertaintyScaling_hgluglu, kl_scalBR_hgluglu)'
        )
        self.modelBuilder.factory_(
            'expr::kVkFkl_Gscal_gamma("(@0+@6)*@1*@4 + @2*@3*@5",  Scaling_hgg, SM_BR_hgg, Scaling_hzg, SM_BR_hzg, HiggsDecayWidth_UncertaintyScaling_hgg, HiggsDecayWidth_UncertaintyScaling_hzg, kl_scalBR_hgg)'
        )  # no kappa_lambda dependance on H->zg known yet ?
        # fix to have all BRs add up to unity
        self.modelBuilder.factory_("sum::kVkFkl_SMBRs(%s)" % (",".join(
            "SM_BR_" + X
            for X in "hzz hww htt hmm hcc hbb hss hgluglu hgg hzg".split())))
        self.modelBuilder.out.function("kVkFkl_SMBRs").Print("")

        ## total witdh, normalized to the SM one (just the sum over the partial widths/SM total BR)
        self.modelBuilder.factory_(
            'expr::kVkFkl_Gscal_tot("(@0+@1+@2+@3+@4+@5+@6)/@7", kVkFkl_Gscal_Z, kVkFkl_Gscal_W, kVkFkl_Gscal_tau, kVkFkl_Gscal_top, kVkFkl_Gscal_bottom, kVkFkl_Gscal_gluon, kVkFkl_Gscal_gamma, kVkFkl_SMBRs)'
        )

        ## BRs, normalized to the SM ones: they scale as (partial/partial_SM) / (total/total_SM)
        self.modelBuilder.factory_(
            'expr::kVkFkl_BRscal_hww("(@0*@0+@3)*@2/@1", kappa_V, kVkFkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hww, kl_scalBR_hww)'
        )
        self.modelBuilder.factory_(
            'expr::kVkFkl_BRscal_hzz("(@0*@0+@3)*@2/@1", kappa_V, kVkFkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hzz, kl_scalBR_hzz)'
        )
        self.modelBuilder.factory_(
            'expr::kVkFkl_BRscal_htt("(@0*@0+@3)*@2/@1", kappa_F, kVkFkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_htt, kl_scalBR_htt)'
        )
        self.modelBuilder.factory_(
            'expr::kVkFkl_BRscal_hmm("(@0*@0+@3)*@2/@1", kappa_F, kVkFkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hmm, kl_scalBR_hmm)'
        )
        self.modelBuilder.factory_(
            'expr::kVkFkl_BRscal_hbb("(@0*@0+@3)*@2/@1", kappa_F, kVkFkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hbb, kl_scalBR_hbb)'
        )
        self.modelBuilder.factory_(
            'expr::kVkFkl_BRscal_hcc("(@0*@0+@3)*@2/@1", kappa_F, kVkFkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hcc, kl_scalBR_hcc)'
        )
        self.modelBuilder.factory_(
            'expr::kVkFkl_BRscal_hgg("(@0+@3)*@2/@1", Scaling_hgg, kVkFkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hgg,kl_scalBR_hgg)'
        )
        self.modelBuilder.factory_(
            'expr::kVkFkl_BRscal_hzg("@0*@2/@1", Scaling_hzg, kVkFkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hzg)'
        )
        self.modelBuilder.factory_(
            'expr::kVkFkl_BRscal_hgluglu("(@0+@3)*@2/@1", Scaling_hgluglu, kVkFkl_Gscal_tot, HiggsDecayWidth_UncertaintyScaling_hgluglu, kl_scalBR_hgluglu)'
        )

    def getHiggsSignalYieldScale(self, production, decay, energy):

        name = "kVkFkl_XSBRscal_%s_%s_%s" % (production, decay, energy)
        if self.modelBuilder.out.function(name) == None:

            # now make production scaling --> taken from Tab. 2 of https://arxiv.org/pdf/1607.04251v1.pdf, using formula from https://arxiv.org/pdf/1709.08649.pdf (eqn 18)
            cXSmap_7 = {
                "ggH": 0.66e-2,
                "qqH": 0.65e-2,
                "WH": 1.06e-2,
                "ZH": 1.23e-2,
                "ttH": 3.87e-2
            }
            cXSmap_8 = {
                "ggH": 0.66e-2,
                "qqH": 0.65e-2,
                "WH": 1.05e-2,
                "ZH": 1.22e-2,
                "ttH": 3.78e-2
            }
            cXSmap_13 = {
                "ggH": 0.66e-2,
                "qqH": 0.64e-2,
                "WH": 1.03e-2,
                "ZH": 1.19e-2,
                "ttH": 3.51e-2
            }
            EWKmap_13 = {
                "ggH": 1.049,
                "qqH": 0.932,
                "WH": 0.93,
                "ZH": 0.947,
                "ttH": 1.014
            }
            cXSmaps = {"7TeV": cXSmap_7, "8TeV": cXSmap_8, "13TeV": cXSmap_13}
            dZH = -1.536e-3

            if production in ["ggZH", "tHq", "tHW"]:
                XSscal = ("@0", "Scaling_%s_%s" % (production, energy))
            elif production in ["ggH", "qqH"]:
                C1_map = cXSmaps[energy]
                EWK = EWKmap_13[production]
                self.modelBuilder.factory_("expr::kVkFkl_XSscal_%s_%s(\"(@1+(@0-1)*%g/%g)/((1-(@0*@0-1)*%g))\",kappa_lambda,Scaling_%s_%s)"\
             %(production,energy,C1_map[production],EWK,dZH,production,energy))
                XSscal = ("@0", "kVkFkl_XSscal_%s_%s, " % (production, energy))
            elif production in ["ZH", "WH"]:
                C1_map = cXSmaps[energy]
                EWK = EWKmap_13[production]
                self.modelBuilder.factory_("expr::kVkFkl_XSscal_%s_%s(\"(@1*@1+(@0-1)*%g/%g)/((1-(@0*@0-1)*%g))\",kappa_lambda,kappa_V)"\
             %(production,energy,C1_map[production],EWK,dZH))
                XSscal = ("@0", "kVkFkl_XSscal_%s_%s, " % (production, energy))
            elif production == "ttH":
                C1_map = cXSmaps[energy]
                EWK = EWKmap_13[production]
                self.modelBuilder.factory_("expr::kVkFkl_XSscal_%s_%s(\"(@1*@1+(@0-1)*%g/%g)/((1-(@0*@0-1)*%g))\",kappa_lambda,kappa_F)"\
             %(production,energy,C1_map[production],EWK,dZH))
                XSscal = ("@0", "kVkFkl_XSscal_%s_%s, " % (production, energy))
            elif production == "bbH":
                XSscal = ("@0*@0", "kappa_F")
            else:
                raise RuntimeError, "Production %s not supported" % production

            BRscal = decay
            if decay == "hss": BRscal = "hbb"
            if not self.modelBuilder.out.function("kVkFkl_BRscal_" + BRscal):
                raise RuntimeError, "Decay mode %s not supported" % decay

            self.modelBuilder.factory_(
                'expr::%s("%s*@1", %s, kVkFkl_BRscal_%s)' %
                (name, XSscal[0], XSscal[1], BRscal))
            print '[LHC-HCG Kappas]', name, production, decay, energy, ": ",
            self.modelBuilder.out.function(name).Print("")
        return name
class AllStagesToEFTModel(STXStoEFTBaseModel):
  def __init__(self):
    STXStoEFTBaseModel.__init__(self)
    from HiggsAnalysis.CombinedLimit.STXS import fixed_procs, stage0_procs, stage1_procs, stage1_1_procs
    #self.PROCESSES = {}
    for s in ['0','1','1_1']:
      if s=='0': self.PROCESSES["stage%s"%s] = [x for v in stage0_procs.itervalues() for x in v] 
      elif s=='1': self.PROCESSES["stage%s"%s] = [x for v in stage1_procs.itervalues() for x in v] 
      else: self.PROCESSES["stage%s"%s] = [x for v in stage1_1_procs.itervalues() for x in v] 
    self.PROCESSES["fixedproc"] = fixed_procs
    self.DECAYS = ['hzz','hbb','htt','hww','hgg','hgluglu','hcc','hzg','hmm','tot']

  def setPhysicsOptions(self,physOptions):
    self.setPhysicsOptionsBase(physOptions)
  
  def doParametersOfInterest(self):
    if self.floatMass: print " --> [WARNING] Floating Higgs mass selected. STXStoEFT model assumes MH=125.0 GeV"
    self.doMH()
    self.SMH = SMHiggsBuilder(self.modelBuilder)
    
    #Read in parameter list from file using textToPOIList function
    self.textToPOIList( os.path.join(self.SMH.datadir,'eft/HEL/pois.txt') )
    POIs = ','.join(self.pois.keys())
    for poi, poi_range in self.pois.iteritems(): self.modelBuilder.doVar("%s%s"%(poi,poi_range))
    # Remove cWW+cB from POI list if freezing other parameters
    if self.freezeOtherParameters: POIs = re.sub("cWWPluscB_x02,","",POIs)
    self.modelBuilder.doSet("POI",POIs)
    #POIs for cWW and cB defined in terms of constraints on cWW+cB and cWW-cB: define expression for individual coefficient
    self.modelBuilder.factory_("expr::cWW_x02(\"0.5*(@0+@1)\",cWWPluscB_x02,cWWMinuscB_x02)")
    self.modelBuilder.factory_("expr::cB_x02(\"0.5*(@0-@1)\",cWWPluscB_x02,cWWMinuscB_x02)")
    self.poi_scaling['cWW'] = "0.01*cWW_x02"
    self.poi_scaling['cB'] = "0.01*cB_x02"

    # Freeze cWW+cB if freezeOtherParameters
    if self.freezeOtherParameters: 
      for poi in self.pois: 
        if 'cWWPluscB' in poi: self.modelBuilder.out.var( poi ).setConstant(True)

    #set up model
    self.setup()

  #~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  def setup(self):
    #For additional options e.g. STXS/BR uncertainties: defined in base class
    if self.doBRU: self.SMH.makePartialWidthUncertainties()
    if self.doSTXSU: self.makeSTXSBinUncertainties( STXSstage="all" )
 
    # Make scaling functions for each STXS process
    stored = []
    for s in ['1','0','1_1']:
      stage = "stage%s"%s
      # Read scaling functions for STXS bins from txt file
      if s=="1" and self.useLHCHXSWGNumbers: self.textToSTXSScalingFunctions( os.path.join(self.SMH.datadir, 'eft/HEL/%s_xs_LHCHXSWG-INT-2017-001.txt'%stage) )
      else: 
        if self.useExtendedVBFScheme: self.textToSTXSScalingFunctions( os.path.join(self.SMH.datadir, 'eft/HEL/%s_xs_extended_vbf.txt'%stage) )
        else: self.textToSTXSScalingFunctions( os.path.join(self.SMH.datadir, 'eft/HEL/%s_xs.txt'%stage) )
      for proc in self.PROCESSES[stage]: 
        if proc not in stored:
          self.makeScalingFunction( proc, STXSstage=s )
          stored.append( proc )

    # Make dummy scaling (=1) for fixed procs
    for proc in self.PROCESSES["fixedproc"]: self.modelBuilder.factory_("expr::scaling_%s(\"@0\",1.)"%proc)

    # Read scaling functions for decays from txt files
    self.textToDecayScalingFunctions( os.path.join(self.SMH.datadir, 'eft/HEL/decay.txt' ) )

    # Make partial width + total width scaling functions
    for dec in self.DECAYS: self.makeScalingFunction( dec )
    # Make BR scaling functions: partial width/total width
    for dec in self.DECAYS:
      if dec != "tot": self.makeBRScalingFunction( dec )
    
  #~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  def getHiggsSignalYieldScale(self,production,decay,energy):

    # Function to convert troublesome procs into viable one for HC combination
    production = convert_to_STXS(production,decay)

    name = "stxstoeft_scaling_%s_%s_%s"%(production,decay,energy)
    if self.modelBuilder.out.function(name) == None:

      XSscal = None
      BRscal = None

      # Extract STXS stage process belongs to: in descreasing order as want most recent th. unc
      if production in self.PROCESSES['stage1_1']: key = "stage1_1"
      elif production in self.PROCESSES['stage1']: key = "stage1"
      elif production in self.PROCESSES['stage0']: key = "stage0"
      elif production in self.PROCESSES['fixedproc']: key = "fixedproc" 
      # For fwd production: set to SM
      elif "fwd" in production:
        self.modelBuilder.factory_("expr::scaling_%s(\"@0\",1.)"%production)
        key = None
      else:
        print "[WARNING] Process %s is not supported in STXStoEFT Model, Setting to 1"%production
        return 1
        #raise ValueError("[ERROR] Process %s is not supported in STXStoEFT Model"%production)
      # Give production correct scaling
      XSscal = "scaling_%s"%production
     
      # Check decay scaling exists:
      if decay in self.DECAYS: BRscal = "scaling_BR_%s"%decay
      else:
        print "[WARNING] Decay %s is not supported in STXStoEFT Model, setting to 1"%decay
        return 1
        #raise ValueError("[ERROR] Decay %s is not supported in STXStoEFT Model"%decay)

      # Uncertainty scaling: BR and STXS bin uncertainties
      if( self.doSTXSU )&( self.doBRU ):
        if key==None:
          THUscaler = "uncertainty_scaling_%s"%(decay)
          self.modelBuilder.factory_('expr::uncertainty_scaling_%s(\"@0\",HiggsDecayWidth_UncertaintyScaling_%s)'%(decay,decay))
        else:
          THUscaler = "uncertainty_scaling_%s_%s"%(production,decay)
          self.modelBuilder.factory_('expr::uncertainty_scaling_%s_%s(\"@0*@1\",%s_UncertaintyScaling_%s,HiggsDecayWidth_UncertaintyScaling_%s)'%(production,decay,key,production,decay))
      elif( self.doSTXSU ):
        if key==None:
          THUscaler = "uncertainty_scaling_dummy"
          self.modelBuilder.factory_('expr::uncertainty_scaling_dummy(\"@0\",1.)')
        else:
          THUscaler = "uncertainty_scaling_%s"%production
          self.modelBuilder.factory_('expr::uncertainty_scaling_%s(\"@0\",%s_UncertaintyScaling_%s)'%(production,key,production))
      elif( self.doBRU ):
        THUscaler = "uncertainty_scaling_%s"%decay
        self.modelBuilder.factory_('expr::uncertainty_scaling_%s(\"@0\",HiggsDecayWidth_UncertaintyScaling_%s)'%(decay,decay))
      
      #Combine XS and BR scaling: incuding theory unc if option selected
      if( self.doSTXSU )|( self.doBRU ): self.modelBuilder.factory_("prod::%s(%s)"%(name,",".join([XSscal,BRscal,THUscaler])))
      else: self.modelBuilder.factory_("prod::%s(%s)"%(name,",".join([XSscal,BRscal])))
      
    return name