return function
# ... and the same for the interpolated version (see qcdf_interpolate.py)
def ha_qcdf_interpolate_function(B, V, contribution='all'):
scale = config['renormalization scale']['bvll']
def function(wc_obj, par_dict, q2, cp_conjugate):
return flavio.physics.bdecays.bvll.qcdf_interpolate.helicity_amps_qcdf(q2, par_dict, B, V, cp_conjugate, contribution)
return function
# loop over hadronic transitions and lepton flavours
# BTW, it is not necessary to loop over tau: for tautau final states, the minimum
# q2=4*mtau**2 is so high that QCDF is not valid anymore anyway!
for had in [('B0','K*0'), ('B+','K*+'), ('B0','rho0'), ('B+','rho+'), ('Bs','phi'), ]:
process = had[0] + '->' + had[1] + 'll' # e.g. B0->K*0mumu
quantity = process + ' spectator scattering'
a = AuxiliaryQuantity(name=quantity, arguments=['q2', 'cp_conjugate'])
a.description = ('Contribution to ' + process + ' helicity amplitudes from'
' non-factorizable spectator scattering.')
# Implementation: QCD factorization
iname = process + ' QCDF'
i = Implementation(name=iname, quantity=quantity,
function=ha_qcdf_function(B=had[0], V=had[1]))
i.set_description("QCD factorization")
# Implementation: interpolated QCD factorization
iname = process + ' QCDF interpolated'
i = Implementation(name=iname, quantity=quantity,
function=ha_qcdf_interpolate_function(B=had[0], V=had[1]))
i.set_description("Interpolated version of QCD factorization")
] # heavy to heavy
def ff_function(function, process, **kwargs):
return lambda wc_obj, par_dict, q2: function(process, q2, par_dict, **
kwargs)
for p in processes_H2L + processes_H2H:
quantity = p + ' form factor'
a = AuxiliaryQuantity(name=quantity, arguments=['q2'])
a.set_description('Hadronic form factor for the ' + p + ' transition')
iname = p + ' BSZ3'
i = Implementation(name=iname,
quantity=quantity,
function=ff_function(bsz.ff, p, n=3))
i.set_description(
"3-parameter BSZ parametrization (see arXiv:1811.00983).")
iname = p + ' BCL3'
i = Implementation(name=iname,
quantity=quantity,
function=ff_function(bcl.ff, p, n=3))
i.set_description("3-parameter BCL parametrization (see arXiv:0807.2722).")
iname = p + ' BCL4'
i = Implementation(name=iname,
quantity=quantity,
function=ff_function(bcl.ff, p, n=4))
i.set_description("4-parameter BCL parametrization (see arXiv:0807.2722).")
def _func_standard(wc_obj, par):
return ckm_standard(par['t12'], par['t13'], par['t23'], par['delta'])
def _func_tree(wc_obj, par):
return ckm_tree(par['Vus'], par['Vub'], par['Vcb'], par['delta'])
def _func_wolfenstein(wc_obj, par):
return ckm_wolfenstein(par['laC'], par['A'], par['rhobar'], par['etabar'])
i = Implementation(name='Standard',
quantity='CKM matrix',
function=_func_standard)
i = Implementation(name='Tree', quantity='CKM matrix', function=_func_tree)
i = Implementation(name='Wolfenstein',
quantity='CKM matrix',
function=_func_wolfenstein)
def get_ckm(par_dict):
return AuxiliaryQuantity['CKM matrix'].prediction(par_dict=par_dict,
wc_obj=None)
def get_ckmangle_beta(par):
r"""Returns the CKM angle $\beta$."""
V = get_ckm(par)
processes = ['D->pi', 'D->K']
def ff_function(function, process, **kwargs):
return lambda wc_obj, par_dict, q2: function(process, q2, par_dict, **
kwargs)
for p in processes:
quantity = p + ' form factor'
a = AuxiliaryQuantity(name=quantity, arguments=['q2'])
a.set_description('Hadronic form factor for the ' + p + ' transition')
iname = p + ' BSZ2'
i = Implementation(name=iname,
quantity=quantity,
function=ff_function(bsz.ff, p, n=2))
i.set_description(
"2-parameter BSZ parametrization (see arXiv:1811.00983).")
iname = p + ' BCL2'
i = Implementation(name=iname,
quantity=quantity,
function=ff_function(bcl.ff, p, n=2))
i.set_description("2-parameter BCL parametrization (see arXiv:0807.2722).")
iname = p + ' BSZ3'
i = Implementation(name=iname,
quantity=quantity,
function=ff_function(bsz.ff, p, n=3))
i.set_description(
def ff(q2, par, B):
r"""Central value of $B(s)\to \gamma$ form factors
See hep-ph/0208256.pdf.
"""
flavio.citations.register("Kruger:2002gf")
fB = par['f_' + B]
mB = par['m_' + B]
name = 'B->gamma KM '
ff = {}
ff['v'] = par[name + 'betav'] * fB * mB / (par[name + 'deltav'] + mB / 2 *
(1 - q2 / mB**2))
ff['a'] = par[name + 'betaa'] * fB * mB / (par[name + 'deltaa'] + mB / 2 *
(1 - q2 / mB**2))
ff['tv'] = par[name + 'betatv'] * fB * mB / (par[name + 'deltatv'] +
mB / 2 * (1 - q2 / mB**2))
ff['ta'] = par[name + 'betata'] * fB * mB / (par[name + 'deltata'] +
mB / 2 * (1 - q2 / mB**2))
return ff
quantity = 'B->gamma form factor'
a = AuxiliaryQuantity(name=quantity, arguments=['q2'])
a.set_description('Form factor for the B(s)->gamma transition')
i = Implementation(
name="B->gamma KM",
quantity=quantity,
function=lambda wc_obj, par_dict, q2, B: ff(q2, par_dict, B))
i.set_description("KM parametrization (see hep-ph/0208256.pdf).")
return fct
# AuxiliaryQuantity & Implementation: subleading effects at LOW q^2
for had in [('B0','K*0'), ('B+','K*+'), ('Bs','phi'), ]:
process = had[0] + '->' + had[1] + 'll' # e.g. B0->K*0mumu
quantity = process + ' subleading effects at low q2'
a = AuxiliaryQuantity(name=quantity, arguments=['q2', 'cp_conjugate'])
a.description = ('Contribution to ' + process + ' helicity amplitudes from'
' subleading hadronic effects (i.e. all effects not included'
r'elsewhere) at $q^2$ below the charmonium resonances')
# Implementation: C7-C7'-polynomial
iname = process + ' deltaC7, 7p polynomial'
i = Implementation(name=iname, quantity=quantity,
function=fct_deltaC7C7p_polynomial(B=had[0], V=had[1]))
i.set_description(r"Effective shift in the Wilson coefficient $C_7(\mu_b)$"
r" (in the $0$ and $-$ helicity amplitudes) and"
r" $C_7'(\mu_b)$ (in the $+$ helicity amplitude)"
r" as a first-order polynomial in $q^2$.")
# AuxiliaryQuantity & Implementation: subleading effects at HIGH q^2
for had in [('B0','K*0'), ('B+','K*+'), ('Bs','phi'), ]:
process = had[0] + '->' + had[1] + 'll' # e.g. B0->K*0mumu
quantity = process + ' subleading effects at high q2'
a = AuxiliaryQuantity(name=quantity, arguments=['q2', 'cp_conjugate'])
a.description = ('Contribution to ' + process + ' helicity amplitudes from'
' subleading hadronic effects (i.e. all effects not included'
r'elsewhere) at $q^2$ above the charmonium resonances')
ff['f+'] = fp_0 * fp_bar
ff['f0'] = fp_0 * f0_bar
return ff
def fT_pole(q2, par):
# specific parameters
fT_0 = par['K->pi fT(0)']
sT = par['K->pi sT']
ff = {}
# (4) of 1108.1021
ff['fT'] = fT_0 / (1 - sT * q2)
return ff
def ff_dispersive_pole(wc_obj, par_dict, q2):
ff = {}
ff.update(fp0_dispersive(q2, par_dict))
ff.update(fT_pole(q2, par_dict))
return ff
quantity = 'K->pi form factor'
a = AuxiliaryQuantity(name=quantity, arguments=['q2'])
a.set_description(r'Hadronic form factor for the $K\to\pi$ transition')
iname = 'K->pi dispersive + pole'
i = Implementation(name=iname, quantity=quantity, function=ff_dispersive_pole)
i.set_description(r"Dispersive parametrization (see arXiv:hep-ph/0603202) for "
r"$f_+$ and $f_0$ and simple pole for $f_T$.")
def ff_function(function, process, **kwargs):
return lambda wc_obj, par_dict, q2: function(process, q2, par_dict, **
kwargs)
for p in processes_H2L + processes_H2H:
quantity = p + ' form factor'
a = AuxiliaryQuantity(name=quantity, arguments=['q2'])
a.set_description('Hadronic form factor for the ' + p + ' transition')
iname = p + ' BSZ2'
i = Implementation(name=iname,
quantity=quantity,
function=ff_function(bsz.ff, p, n=2))
i.set_description("2-parameter BSZ parametrization (see arXiv:1503.05534)")
iname = p + ' BSZ3'
i = Implementation(name=iname,
quantity=quantity,
function=ff_function(bsz.ff, p, n=3))
i.set_description("3-parameter BSZ parametrization (see arXiv:1503.05534)")
iname = p + ' SSE'
i = Implementation(name=iname,
quantity=quantity,
function=ff_function(sse.ff, p, n=2))
i.set_description("2-parameter simplified series expansion")
from flavio.physics.bdecays.formfactors.lambdab_12 import sse
from flavio.classes import AuxiliaryQuantity, Implementation
from flavio.config import config
processes = [
'Lambdab->Lambda',
]
def ff_function(function, process, **kwargs):
return lambda wc_obj, par_dict, q2: function(process, q2, par_dict, **
kwargs)
for p in processes:
quantity = p + ' form factor'
a = AuxiliaryQuantity(name=quantity, arguments=['q2'])
a.set_description('Hadronic form factor for the ' + p + ' transition')
iname = p + ' SSE2'
i = Implementation(name=iname,
quantity=quantity,
function=ff_function(sse.ff, p, n=2))
i.set_description("2-parameter simplified series expansion")
iname = p + ' SSE3'
i = Implementation(name=iname,
quantity=quantity,
function=ff_function(sse.ff, p, n=2))
i.set_description("3-parameter simplified series expansion")
return fct
# AuxiliaryQuantity & Implementatation: subleading effects at LOW q^2
for had in [('B0','K0'), ('B+','K+'),]:
for l in ['e', 'mu', ]:
process = had[0] + '->' + had[1] + l+l # e.g. B0->K*0mumu
quantity = process + ' subleading effects at low q2'
a = AuxiliaryQuantity(name=quantity, arguments=['q2', 'cp_conjugate'])
a.description = ('Contribution to ' + process + ' helicity amplitudes from'
' subleading hadronic effects (i.e. all effects not included'
r'elsewhere) at $q^2$ below the charmonium resonances')
# Implementation: C7-polynomial
iname = process + ' deltaC7 polynomial'
i = Implementation(name=iname, quantity=quantity,
function=fct_deltaC7_polynomial(B=had[0], P=had[1], lep=l))
i.set_description(r"Effective shift in the Wilson coefficient $C_7(\mu_b)$"
r" as a first-order polynomial in $q^2$.")
# Implementation: C9-polynomial
iname = process + ' deltaC9 polynomial'
i = Implementation(name=iname, quantity=quantity,
function=fct_deltaC9_polynomial(B=had[0], P=had[1], lep=l))
i.set_description(r"Effective shift in the Wilson coefficient $C_9(\mu_b)$"
r" as a first-order polynomial in $q^2$.")
# AuxiliaryQuantity & Implementatation: subleading effects at HIGH q^2
for had in [('B0','K0'), ('B+','K+'), ]:
for l in ['e', 'mu', 'tau']:
return transversity_amps_deltaC9_constant(q2, par_dict)
# AuxiliaryQuantity & Implementatation: subleading effects at LOW q^2
quantity = 'Lambdab->Lambdall subleading effects at low q2'
a = AuxiliaryQuantity(name=quantity, arguments=['q2', 'cp_conjugate'])
a.description = (
r'Contribution to $\Lambda_b\to \Lambda \ell^+\ell^-$ transversity amplitudes from'
r' subleading hadronic effects (i.e. all effects not included'
r' elsewhere) at $q^2$ below the charmonium resonances')
# Implementation: C7-polynomial
iname = 'Lambdab->Lambdall deltaC7 polynomial'
i = Implementation(name=iname,
quantity=quantity,
function=fct_deltaC7_polynomial)
i.set_description(r"Effective shift in the Wilson coefficient $C_7(\mu_b)$"
r" as a first-order polynomial in $q^2$.")
# AuxiliaryQuantity & Implementatation: subleading effects at HIGH q^2
quantity = 'Lambdab->Lambdall subleading effects at high q2'
a = AuxiliaryQuantity(name=quantity, arguments=['q2', 'cp_conjugate'])
a.description = (
'Contribution to $\Lambda_b\to \Lambda \ell^+\ell^-$ transversity amplitudes from'
' subleading hadronic effects (i.e. all effects not included'
r'elsewhere) at $q^2$ above the charmonium resonances')
# Implementation: C9 constant shift
iname = 'Lambdab->Lambdall deltaC9 shift'
