def get_diagram_one(ax, fermion_style, boson_style, vertex_style): D = Diagram(ax) w = 0.75 xy0 = [0.5 - w/2, 0.25] v1 = D.vertex(xy0, **vertex_style) v2 = D.vertex(v1.xy, dx=w, **vertex_style) G = D.line(v1, v2, **fermion_style) B = D.line(v1, v2, **boson_style) # In case the axes get smaller (you have more diagrams), you might want to change the scale D.scale(1.0) D.plot() return D
""" VBH === Vector Boson Fusion. """ import matplotlib.pyplot as plt from feynman import Diagram fig = plt.figure(figsize=(10., 10.)) ax = fig.add_axes([0, 0, 1, 1], frameon=False) diagram = Diagram(ax) diagram.text(.5, 0.9, "Vector Boson Fusion (VBF)", fontsize=40) in1 = diagram.vertex(xy=(.1, .8), marker='') in2 = diagram.vertex(xy=(.1, .2), marker='') v1 = diagram.vertex(xy=(.4, .7)) v2 = diagram.vertex(xy=(.4, .3)) v3 = diagram.vertex(xy=(.6, .5)) out1 = diagram.vertex(xy=(.9, .8), marker='') out2 = diagram.vertex(xy=(.9, .2), marker='') higgsout = diagram.vertex(xy=(.9, .5)) q1 = diagram.line(in1, v1, arrow=False) q2 = diagram.line(in2, v2, arrow=False) wz1 = diagram.line(v1, v3, style='wiggly') wz2 = diagram.line(v2, v3, style='wiggly') higgs = diagram.line(v3, higgsout, style='dashed', arrow=False) q3 = diagram.line(v1, out1, arrow=False) q4 = diagram.line(v2, out2, arrow=False)
""" VH == Higgs Strahlung. """ import matplotlib.pyplot as plt from feynman import Diagram fig = plt.figure(figsize=(10.,10.)) ax = fig.add_axes([0,0,1,1], frameon=False) diagram = Diagram(ax) diagram.text(.4,0.9,"Associated Vector Boson", fontsize=40) diagram.text(.6,0.83,"(VH or 'Higgs Strahlung')", fontsize=40) in1 = diagram.vertex(xy=(.1,.75), marker='') in2= diagram.vertex(xy=(.1,.25), marker='') v1 = diagram.vertex(xy=(.35,.5)) v2 = diagram.vertex(xy=(.65,.5)) higgsout = diagram.vertex(xy=(.9,.75)) out1 = diagram.vertex(xy=(.9,.25),marker='') q1 = diagram.line(in1, v1) q2 = diagram.line(v1, in2) wz1 = diagram.line(v1, v2, style='wiggly') wz2 = diagram.line(v2, out1, style='wiggly') higgs = diagram.line(v2, higgsout, arrow=False, style='dashed') q1.text("q",fontsize=30) q2.text(r"$\bar{\mathrm{q}}$",fontsize=30) diagram.text(0.5,0.55,"$Z/W^\pm$",fontsize=30)
""" Common neutrino nucleon interactions """ import matplotlib.pyplot as plt from feynman import Diagram fig = plt.figure(figsize=(10, 5)) ax1 = fig.add_subplot(121, frameon=False) diagram = Diagram(ax1) diagram.text(.5, 0.9, "Charged-Current", fontsize=25) in1 = diagram.vertex(xy=(0.05, 0.75), marker='') in2 = diagram.vertex(xy=(0.05, 0.25), marker='') v1 = diagram.vertex(xy=(.45, .6)) v2 = diagram.vertex(xy=(.45, .4)) out1 = diagram.vertex(xy=(0.85, 0.75), marker='') out2 = diagram.vertex(xy=(0.85, 0.25), marker='') nu1 = diagram.line(in1, v1) #incoming neutrino N = diagram.line(in2, v2) #incoming neucleon W = diagram.line(v1, v2, style='wiggly') #W mediator nu2 = diagram.line(v1, out1) #outgoing neutrino X = diagram.line(v2, out2) #outgoing shower diagram.text(0.10, 0.68, "$\\nu_{\ell}$", fontsize=30) diagram.text(0.10, 0.32, "$N$", fontsize=30) diagram.text(0.57, 0.5, "$W^{\pm}$", fontsize=30) diagram.text(0.81, 0.68, "$\ell$", fontsize=30) diagram.text(0.81, 0.32, "$X$", fontsize=30) ax2 = fig.add_subplot(122, frameon=False) diagram2 = Diagram(ax2) diagram2.text(.5, 0.9, "Neutral-Current", fontsize=25)
===== Doubly Charged Higgs Production """ import matplotlib matplotlib.rcParams['mathtext.fontset'] = 'stix' matplotlib.rcParams['font.family'] = 'STIXGeneral' from feynman import Diagram fig = matplotlib.pyplot.figure(figsize=(10., 10.)) ax = fig.add_axes([0, 0, 1, 1], frameon=False) diagram = Diagram(ax) diagram.text(.4, 0.9, "Doubly Charged Higgs Production", fontsize=40) in1 = diagram.vertex(xy=(.1, .75), marker='') in2 = diagram.vertex(xy=(.1, .25), marker='') v1 = diagram.vertex(xy=(.35, .5)) v2 = diagram.vertex(xy=(.65, .5)) higgsplusout = diagram.vertex(xy=(.8, .7)) higgsminusout = diagram.vertex(xy=(.8, .3)) l1plus = diagram.vertex(xy=(.95, .8), marker='') l2plus = diagram.vertex(xy=(.95, .6), marker='') l1minus = diagram.vertex(xy=(.95, .4), marker='') l2minus = diagram.vertex(xy=(.95, .2), marker='') lw = 5 q1 = diagram.line(v1, in1, color='blue', lw=lw,
""" ggFZZ EFT ========= The gluon-gluon fusion. """ import matplotlib.pyplot as plt from feynman import Diagram fig = plt.figure(figsize=(10., 10.)) ax = fig.add_axes([0, 0, 1, 1], frameon=False) diagram = Diagram(ax) #diagram.text(.5,0.9,"Gluon-Gluon Fusion (ggF)",fontsize=40) in1 = diagram.vertex(xy=(.05, .7), marker='') in2 = diagram.vertex(xy=(.05, .3), marker='') v1 = diagram.vertex(xy=(.25, .7)) v2 = diagram.vertex(xy=(.25, .3)) v3 = diagram.vertex(xy=(.45, .5)) higgsout = diagram.vertex(xy=(.60, .5)) zout1 = diagram.vertex(xy=(.85, .7), marker='') zout2 = diagram.vertex(xy=(.85, .3), marker='') gluon_style = dict(style='linear loopy', xamp=.025, yamp=.035, nloops=4) g1 = diagram.line(in1, v1, **gluon_style) g2 = diagram.line(in2, v2, **gluon_style) t1 = diagram.line(v1, v2) t2 = diagram.line(v2, v3) t3 = diagram.line(v3, v1) higgs = diagram.line(v3, higgsout, arrow=False, style='dashed')
""" ggF EFT ========= The gluon-gluon fusion. """ import matplotlib.pyplot as plt from feynman import Diagram fig = plt.figure(figsize=(10.,10.)) ax = fig.add_axes([0,0,1,1], frameon=False) diagram = Diagram(ax) in1 = diagram.vertex(xy=(.1,.6), marker='') in2= diagram.vertex(xy=(.1,.4), marker='') v1 = diagram.vertex(xy=(.4,.6)) v2 = diagram.vertex(xy=(.4,.4)) v3 = diagram.vertex(xy=(.6,.5)) v4 = diagram.vertex(xy=(.34,.5), marker='') higgsout = diagram.vertex(xy=(.9,.5)) epsilon = diagram.operator([v4,v3], c=1.1) epsilon.text("Effective \n coupling", fontsize=30) gluon_up_style = dict(style='linear loopy', xamp=.025, yamp=.035, nloops=7) gluon_down_style = dict(style='linear loopy', xamp=.025, yamp=-.035, nloops=7) g1 = diagram.line(in1, v1, **gluon_up_style) g2 = diagram.line(in2, v2, **gluon_down_style) higgs = diagram.line(v3, higgsout, arrow=False, style='dashed')
side = 0.3 gammalen = side * np.sqrt(3) / 2 linlen = 0.3 txtpad = 0.2 tail_marker = 'o' W_style = dict(style = 'double wiggly', nwiggles=2) v_style = dict(style = 'simple wiggly', nwiggles=2) G_style = dict(style = 'double', arrow=True, arrow_param={'width':0.05}) D = Diagram(ax) # Left hand size xy = [0.4, y0] v11 = D.vertex(xy, dy= side/2) v12 = D.vertex(xy, dy=-side/2) v13 = D.vertex(xy, dx=gammalen) gamma0 = D.operator([v11,v12,v13]) gamma0.text("$\Gamma$") # Symbol D.text(v13.x + txtpad, y0, "=") # Create a three-vertex dot. chunkdist = .03 chunklen = .03 chunkstyle=dict(arrow=False, linewidth=6.) v20 = D.vertex([v13.x + 2 * txtpad, y0]) v210 = D.vertex(v20.xy, angle=0., radius=chunkdist, marker='') v220 = D.vertex(v20.xy, angle=1./3, radius=chunkdist, marker='')
D.x0 = 0.2 D.y0 = sum(D.ax.get_ylim()) * .35 # Various size opwidth = 1. linlen = 2. txtpad = .8 wiggle_amplitude=.1 # Line styles Ph_style = dict(style='elliptic loopy', ellipse_spread=.6, xamp=.10, yamp=-.15, nloops=15) DW_style = dict(style='circular loopy', circle_radius=.7, xamp=.10, yamp=.15, nloops=18) G_style = dict(style='simple', arrow=True, arrow_param={'width':0.15, 'length': .3}) # Item 1 v11 = D.vertex([D.x0, D.y0]) v12 = D.vertex(v11.xy, dx=opwidth) Sigma = D.operator([v11, v12]) Sigma.text("$\Sigma^{ep}$") # Symbol D.text(v12.x + txtpad, D.y0, "=") # Item 3 v21 = D.vertex([v12.x + 2 * txtpad, D.y0 - 0.3]) v22 = D.vertex(v21.xy, dx=linlen) G = D.line(v21, v22, **G_style) Ph = D.line(v21, v22, **Ph_style) # Symbol D.text(v22.x + txtpad, D.y0, "+")
""" VBH tau-tau =========== Vector Boson Fusion. """ import matplotlib.pyplot as plt from feynman import Diagram fig = plt.figure(figsize=(10., 10.)) ax = fig.add_axes([0, 0, 1, 1], frameon=False) diagram = Diagram(ax) #diagram.text(.5,0.9,r"Vector Boson Fusion (VBF) Higgs $\rightarrow\tau\tau$",fontsize=40) in1 = diagram.vertex(xy=(.1, .8), marker='') in2 = diagram.vertex(xy=(.1, .2), marker='') v1 = diagram.vertex(xy=(.3, .7)) v2 = diagram.vertex(xy=(.3, .3)) v3 = diagram.vertex(xy=(.5, .5)) out1 = diagram.vertex(xy=(.9, .8), marker='') out2 = diagram.vertex(xy=(.9, .2), marker='') higgsf = diagram.vertex(xy=(.7, .5)) tau1 = diagram.vertex(xy=(.9, .7), marker='') tau2 = diagram.vertex(xy=(.9, .3), marker='') q1 = diagram.line(in1, v1, arrow=False) q2 = diagram.line(in2, v2, arrow=False) wz1 = diagram.line(v1, v3, style='wiggly') wz2 = diagram.line(v2, v3, style='wiggly') higgs = diagram.line(v3, higgsf, style='dashed', arrow=False) q3 = diagram.line(v1, out1, arrow=False)
""" LFV === The LFV diagram. """ import matplotlib.pyplot as plt from feynman import Diagram fig = plt.figure(figsize=(10.,10.)) ax = fig.add_axes([0,0,1,1], frameon=False) diagram = Diagram(ax) in1 = diagram.vertex(xy=(.1,.5)) in2= diagram.vertex(xy=(.4,.5)) v1 = diagram.vertex(xy=(.65,.65)) v2 = diagram.vertex(xy=(.65,.35)) out1 = diagram.vertex(xy=(.9,.65),marker='') out2 = diagram.vertex(xy=(.9,.35),marker='') higgs = diagram.line(in1, in2, arrow=False, style='dashed') nu1 = diagram.line(v1, in2) nu2 = diagram.line(in2, v2) w = diagram.line(v1, v2, style='wiggly') lep = diagram.line(out1, v1) tau = diagram.line(v2, out2) nu1.text(r"$\nu_\ell$",fontsize=40) nu2.text(r"$\nu_\tau$",fontsize=40) lep.text(r"$\ell^+$",fontsize=40) tau.text(r"$\tau^-$",fontsize=40)
# Set up the figure and ax fig = plt.figure(figsize=(8,2)) ax = fig.add_axes([0,0,1,1], frameon=False) # It is best to keep the xlim/ylim ratio the same as the figure aspect ratio. ax.set_xlim(0, 1) ax.set_ylim(0, 0.25) y0 = sum(ax.get_ylim()) / 2 # Initialize diagram with the ax D = Diagram(ax) # Polarizability operator v11 = D.vertex([0.1, y0]) v12 = D.vertex(v11.xy, dx=0.15) P = D.operator([v11, v12], c=1.3) # c is the excentricity of the patch P.text("$P$") # Symbols D.text(.35, y0, "=", fontsize=30) # Propagator lines G_style = dict(style='double elliptic', ellipse_excentricity=-1.2, ellipse_spread=.3, arrow=True, arrow_param={'width':0.03}) v21 = D.vertex([0.45, y0]) v22 = D.vertex(v21.xy, dx=0.4)
ax.set_xlim(0, 1.0) ax.set_ylim(0, .15) l = 0.15 # Length of the propagator txt_l = 0.05 # Padding around the symbol op_l = 0.08 # Size of the operator G_style = dict(arrow=True, arrow_param={'width':0.02, 'length': 0.05}, style = 'double') G0_style = dict(arrow=True, arrow_param={'width':0.02, 'length': 0.05}, style = 'simple') text_prop = dict(y=0.02, fontsize=20) D = Diagram(ax) # Left hand side v11 = D.vertex(xy=[0.05, 0.06]) v12 = D.vertex(v11.xy, dx=l) G = D.line(v11, v12, **G_style) G.text("$G$", **text_prop) # Symbol D.text(v12.x + txt_l, v12.y, "=") # First term v21 = D.vertex(v12.xy, dx=2*txt_l) v22 = D.vertex(v21.xy, dx=l) G0 = D.line(v21, v22, **G0_style) G0.text("$G_0$", **text_prop) # Symbol D.text(v22.x + txt_l, v22.y, "+")
===== Doubly Charged Higgs Production """ import matplotlib matplotlib.rcParams['mathtext.fontset'] = 'stix' matplotlib.rcParams['font.family'] = 'STIXGeneral' from feynman import Diagram fig = matplotlib.pyplot.figure(figsize=(10.,10.)) ax = fig.add_axes([0,0,1,1], frameon=False) diagram = Diagram(ax) diagram.text(.4,0.9,"Doubly Charged Higgs Production", fontsize=40) q1in = diagram.vertex(xy=(.1,.75), marker='') q2in= diagram.vertex(xy=(.1,.25), marker='') v1 = diagram.vertex(xy=(.3,.75)) v2 = diagram.vertex(xy=(.3,.25)) vmerge = diagram.vertex(xy=(.6,.5)) higgsout = diagram.vertex(xy=(.8,.5)) q1pout = diagram.vertex(xy=(.95,.75), marker='') q2pout = diagram.vertex(xy=(.95,.25), marker='') l1out = diagram.vertex(xy=(.95,.62), marker='') l2out = diagram.vertex(xy=(.95,.38), marker='') lw = 5 # Quarks q1 = diagram.line(q1in, v1, color='blue', lw=lw, arrow_param=dict(color='blue', length=0.08, width=0.02)) q2 = diagram.line(q2in, v2, color='blue', lw=lw, arrow_param=dict(color='blue', length=0.08, width=0.02)) q1p = diagram.line(v1, q1pout, color='blue', lw=lw, arrow_param=dict(color='blue', length=0.08, width=0.02))
""" VBH tau-tau =========== Vector Boson Fusion. """ import matplotlib.pyplot as plt from feynman import Diagram fig = plt.figure(figsize=(10.,10.)) ax = fig.add_axes([0,0,1,1], frameon=False) diagram = Diagram(ax) #diagram.text(.5,0.9,r"Vector Boson Fusion (VBF) Higgs $\rightarrow\tau\tau$",fontsize=40) in1 = diagram.vertex(xy=(.1,.8), marker='') in2= diagram.vertex(xy=(.1,.2), marker='') v1 = diagram.vertex(xy=(.3,.7)) v2 = diagram.vertex(xy=(.3,.3)) v3 = diagram.vertex(xy=(.5,.5)) out1 = diagram.vertex(xy=(.9,.8), marker='') out2 = diagram.vertex(xy=(.9,.2), marker='') higgsf = diagram.vertex(xy=(.7,.5)) tau1 = diagram.vertex(xy=(.9,.7), marker='') tau2 = diagram.vertex(xy=(.9,.3), marker='') q1 = diagram.line(in1, v1, arrow=False) q2 = diagram.line(in2, v2, arrow=False) wz1 = diagram.line(v1, v3, style='wiggly') wz2 = diagram.line(v2, v3, style='wiggly') higgs = diagram.line(v3, higgsf, style='dashed', arrow=False) q3 = diagram.line(v1, out1, arrow=False)
A diagram containing double lines. """ import matplotlib.pyplot as plt from feynman import Diagram fig = plt.figure(figsize=(8,2)) ax = fig.add_axes([0,0,1,1], frameon=False) ax.set_xlim(0, 1) ax.set_ylim(0,.25) # Sigma operator D = Diagram(ax) v11 = D.vertex([.1, .08]) v12 = D.vertex(v11.xy, dx=.15) Sigma = D.operator([v11, v12]) Sigma.text("$\Sigma$") # Symbols D.text(v12.x+.1, v12.y, "=") # GW convolution v21 = D.vertex(v12.xy, dxy=[0.2, -0.04]) v22 = D.vertex(v21.xy, dx=0.4) l21 = D.line(v21, v22, style='double', arrow=True) # Specifying the number of wiggles and the amplitude of the wiggles
""" Fock exchange ============= A simple diagram composed of vertices and lines. """ import matplotlib.pyplot as plt from feynman import Diagram # If no Axes is given, a new one is initialized. diagram = Diagram() # Create four vertices. v1 = diagram.vertex(xy=(.1, .5), marker='') v2 = diagram.vertex(v1.xy, dx=.2) v3 = diagram.vertex(v2.xy, dx=.4) v4 = diagram.vertex(v3.xy, dx=.2, marker='') # Create four lines. # By default, 'simple' lines have arrows # and others flavours such as 'wiggly' or 'loopy' don't. l12 = diagram.line(v1, v2) l23 = diagram.line(v2, v3) l34 = diagram.line(v3, v4, arrow=True) w23 = diagram.line(v2, v3, style='wiggly elliptic') # Add labels. l12.text("p") w23.text("q") l23.text("p - q")
Gamma_side = .4 Gamma_height = Gamma_side * np.sqrt(3) / 2 # Positon of the first vertex x0 = 0.2 y0 = sum(d.ax.get_ylim()) / 2 # Define line styles G_style = dict( style='double elliptic', ellipse_excentricity=-1.2, ellipse_spread=.3, arrow=True, arrow_param={'width':0.05}, ) # Draw the diagram v01 = d.vertex([x0, y0]) v02 = d.vertex(v01.xy, dx=opwidth) P = d.operator([v01,v02], c=1.3) P.text("$P$") d.text(v02.x+textpad, y0, "=", fontsize=30) v21 = d.vertex(v02.xy, dx=.4) v22 = d.vertex(v21.xy, dx=linlen, dy=Gamma_side/2) v23 = d.vertex(v21.xy, dx=linlen, dy=-Gamma_side/2) v24 = d.vertex(v21.xy, dx=linlen+Gamma_height) l21 = d.line(v22, v21, **G_style) l21 = d.line(v21, v23, **G_style) Gamma = d.operator([v22,v23, v24])
""" ggFZZ EFT ========= The gluon-gluon fusion. """ import matplotlib.pyplot as plt from feynman import Diagram fig = plt.figure(figsize=(10.,10.)) ax = fig.add_axes([0,0,1,1], frameon=False) diagram = Diagram(ax) #diagram.text(.5,0.9,"Gluon-Gluon Fusion (ggF)",fontsize=40) in1 = diagram.vertex(xy=(.05,.7), marker='') in2= diagram.vertex(xy=(.05,.3), marker='') v1 = diagram.vertex(xy=(.25,.7)) v2 = diagram.vertex(xy=(.25,.3)) v3 = diagram.vertex(xy=(.45,.5)) higgsout = diagram.vertex(xy=(.60,.5)) zout1 = diagram.vertex(xy=(.85,.7), marker='') zout2 = diagram.vertex(xy=(.85,.3), marker='') gluon_style = dict(style='linear loopy', xamp=.025, yamp=.035, nloops=4) g1 = diagram.line(in1, v1, **gluon_style) g2 = diagram.line(in2, v2, **gluon_style) t1 = diagram.line(v1, v2) t2 = diagram.line(v2, v3) t3 = diagram.line(v3, v1) higgs = diagram.line(v3, higgsout, arrow=False, style='dashed')
""" ttH === The ttH diagram. """ import matplotlib.pyplot as plt from feynman import Diagram fig = plt.figure(figsize=(10.,10.)) ax = fig.add_axes([0,0,1,1], frameon=False) diagram = Diagram(ax) diagram.text(.5,0.9,"Associated Top Pair (ttH)", fontsize=40) in1 = diagram.vertex(xy=(.1,.8), marker='') in2= diagram.vertex(xy=(.1,.2), marker='') v1 = diagram.vertex(xy=(.4,.7)) v2 = diagram.vertex(xy=(.4,.3)) v3 = diagram.vertex(xy=(.6,.5)) out1 = diagram.vertex(xy=(.9,.8), marker='') out2 = diagram.vertex(xy=(.9,.2), marker='') higgsout = diagram.vertex(xy=(.9,.5)) g1 = diagram.line(in1, v1, style='loopy',nloops=7,yamp=0.04) g2 = diagram.line(in2, v2, style='loopy',nloops=7,yamp=0.04) t1 = diagram.line(v3, v1, arrow = True) t2 = diagram.line(v2, v3, arrow = True) higgs = diagram.line(v3, higgsout, arrow=False, style='dashed') t3 = diagram.line(v1, out1, arrow=True) t4 = diagram.line(out2, v2, arrow=True)
""" Fock exchange ============= A simple diagram composed of vertices and lines. """ import matplotlib.pyplot as plt from feynman import Diagram # If no Axes is given, a new one is initialized. diagram = Diagram() # Create four vertices. v1 = diagram.vertex(xy=(.1,.5), marker='') v2 = diagram.vertex(v1.xy, dx=.2) v3 = diagram.vertex(v2.xy, dx=.4) v4 = diagram.vertex(v3.xy, dx=.2, marker='') # Create four lines. # By default, 'simple' lines have arrows # and others flavours such as 'wiggly' or 'loopy' don't. l12 = diagram.line(v1, v2) l23 = diagram.line(v2, v3) l34 = diagram.line(v3, v4, arrow=True) w23 = diagram.line(v2, v3, style='wiggly elliptic') # Add labels. l12.text("p") w23.text("q") l23.text("p - q")