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
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
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)) q2p = diagram.line(v2, q2pout, color='blue', lw=lw, arrow_param=dict(color='blue', length=0.08, width=0.02)) diagram.text(.05, 0.75, "q", fontsize=40) diagram.text(.05, 0.25, "q",fontsize=40) diagram.text(0.98, 0.75, r"$\mathrm{q}^\prime$", fontsize=40) diagram.text(0.98, 0.25, r"$\mathrm{q}^\prime$",fontsize=40) # Bosons w1 = diagram.line(v1, vmerge, style='wiggly', color='green', lw=lw) w2 = diagram.line(v2, vmerge, style='wiggly', color='green', lw=lw) higgs = diagram.line(vmerge, higgsout, arrow=False, ls='dashed', lw=lw, dashes=(4, 2)) diagram.text(0.35, 0.6, r"$W^+$", fontsize=40) diagram.text(0.35, 0.38, r"$W^+$", fontsize=40) diagram.text(0.72, 0.55, r"$H^{++}$", fontsize=40)
opwidth = 0.3 linlen = 0.4 tail_marker = "o" W_style = dict(style="double wiggly", nwiggles=2) v_style = dict(style="simple wiggly", nwiggles=2) D = Diagram(ax) arrowparam = dict(width=0.05) xy = [0.2, y0] v01 = D.verticle(xy, marker=tail_marker) xy[0] += linlen v02 = D.verticle(v01.xy, dx=linlen, marker=tail_marker) W = D.line(v01, v02, **W_style) text_prop = dict(y=0.06, fontsize=22) W.text("$W$", **text_prop) D.text(0.75, y0, "=", fontsize=30) xy = [0.9, y0] v21 = D.verticle(xy, marker=tail_marker) v22 = D.verticle(v21.xy, dx=linlen, marker=tail_marker) v = D.line(v21, v22, **v_style) v.text("$v$", **text_prop) D.text(1.45, y0, "+", fontsize=30)
# 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]) Gamma.text("$\Gamma$") d.draw() plt.show()
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 l22 = D.line(v21, v22, style='double wiggly elliptic', nwiggles=5.5, amplitude=0.015) # 't' is the coordinate along the line (from 0 to 1) l21.text("G", t=0.4, y=.025, fontsize=24) l22.text("W", y=-.06, fontsize=24) # Plot and show D.plot() plt.show()
xy = [0.2, y0] v01 = D.verticle(xy) xy[0] += opwidth v02 = D.verticle(xy) Sigma = D.operator([v01, v02]) Sigma.text("$\Sigma$") D.text(.70, y0, "=", fontsize=30) xy[1] = y0 - 0.07 xy[0] = 0.9 v21 = D.verticle(xy) xy[0] += linlen v22 = D.verticle(xy) l21 = D.line(v21, v22, **G_style) l22 = D.line(v21, v22, **W_style) l21.text("G", y=.05) l22.text("W", y=-.1) D.plot() fig.savefig('pdf/gw-Sigma.pdf') fig.savefig('pdf/gw-Sigma.png')
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) diagram.text(0.69, 0.35, "$Z/W^\pm$", fontsize=30) higgs.text("H", fontsize=30) diagram.plot() plt.show()
fig = matplotlib.pyplot.figure(figsize=(1., 1.)) ax = fig.add_axes([0, 0, 10, 10], frameon=False) diagram = Diagram(ax) diagram.text(.5, 0.9, "Associated Top Pair (ttH)", fontsize=40) in1 = diagram.verticle(xy=(.1, .8), marker='') in2 = diagram.verticle(xy=(.1, .2), marker='') v1 = diagram.verticle(xy=(.4, .7)) v2 = diagram.verticle(xy=(.4, .3)) v3 = diagram.verticle(xy=(.6, .5)) out1 = diagram.verticle(xy=(.9, .8), marker='') out2 = diagram.verticle(xy=(.9, .2), marker='') higgsout = diagram.verticle(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) g1.text("g", fontsize=30) g2.text("g", fontsize=30) diagram.text(v3.xy[0], v3.xy[1] + 0.1, r"$\bar{\mathrm{t}}$", fontsize=35) t2.text("t", fontsize=30) t3.text("t", fontsize=30) t4.text(r"$\bar{\mathrm{t}}$", fontsize=30) higgs.text("H", fontsize=35)
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') g1.text("g",fontsize=30) diagram.text(v4.xy[0]-.08, v4.xy[1]-.05, "g",fontsize=35) higgs.text("H",fontsize=30) diagram.plot() plt.show()
ax.set_ylim(0, .3) y0 = sum(ax.get_ylim()) / 2 l = 0.4 x0 = .05 G_style = dict(arrow=True, arrow_param={'width': 0.05}, style='double') G0_style = dict(arrow=True, arrow_param={'width': 0.05}, style='simple') D = Diagram(ax) x = x0 v01 = D.verticle(xy=(x, y0)) v02 = D.verticle(v01.xy, dx=l) G = D.line(v01, v02, **G_style) text_prop = dict(y=0.05, fontsize=20) G.text("$G$", **text_prop) x = x0 + .55 D.text(x, y0, "=", fontsize=30) x = x0 + .7 v21 = D.verticle(xy=(x, y0)) v22 = D.verticle(v21.xy, dx=l) G0 = D.line(v21, v22, **G0_style) G0.text("$G_0$", **text_prop) x = x0 + 1.25 D.text(x, y0, "+", fontsize=30)
# 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, "+") # Item 3 v31 = D.vertex([v22.x + 3 * txtpad, D.y0 - 0.3]) DW = D.line(v31, v31, **DW_style) D.plot() plt.show()
opwidth = 0.3 linlen = 0.4 W_style = dict(style='double wiggly', nwiggles=2) v_style = dict(style='simple wiggly', nwiggles=2) # First diagram D1 = Diagram(ax) xy = [0.2, y0] v01 = D1.verticle(xy) xy[0] += linlen v02 = D1.verticle(v01.xy, dx=linlen) W = D1.line(v01, v02, **W_style) text_prop = dict(y=0.06, fontsize=22) W.text("$W$", **text_prop) D1.text(.75, y0, "=", fontsize=30) xy = [0.9, y0] v11 = D1.verticle(xy) v13 = D1.verticle(v11.xy, dx=opwidth) v14 = D1.verticle(v13.xy, dx=linlen) O = D1.operator([v11,v13], c=1.1) O.text("${\\varepsilon^{-1}}$", x=.0, y=.01, fontsize=35) D1.line(v13, v14, **v_style)
""" 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) diagram.text(0.72,0.5,"$W^\pm$",fontsize=40) higgs.text("H",fontsize=40) diagram.plot() plt.show()
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, "+") # Second term
from feynman import Diagram fig = matplotlib.pyplot.figure(figsize=(1., 1.)) ax = fig.add_axes([0, 0, 10, 10], frameon=False) diagram = Diagram(ax) in1 = diagram.verticle(xy=(.1, .8), marker='') in2 = diagram.verticle(xy=(.1, .2), marker='') v1 = diagram.verticle(xy=(.5, .7)) v2 = diagram.verticle(xy=(.5, .3)) v3 = diagram.verticle(xy=(.5, .5)) out1 = diagram.verticle(xy=(.9, .8), marker='') out2 = diagram.verticle(xy=(.9, .2), marker='') higgsout = diagram.verticle(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) q1.text(r"$\bar{q}$", fontsize=30) q2.text("$Q$", fontsize=30) diagram.text(v3.xy[0] + 0.12, v3.xy[1] + 0.11, "$Z/W^\pm$", fontsize=30) wz2.text("$Z/W^\pm$", fontsize=30) q3.text(r"$\bar{q}$", fontsize=30) q4.text("$Q$", fontsize=30) higgsout.text("$H$", fontsize=30)
ax.set_ylim(0, .3) y0 = sum(ax.get_ylim()) / 2 l = 0.4 x0 = .05 G_style = dict(arrow=True, arrow_param={'width':0.05}, style = 'double') G0_style = dict(arrow=True, arrow_param={'width':0.05}, style = 'simple') D = Diagram(ax) x = x0 v01 = D.verticle(xy=(x,y0)) v02 = D.verticle(v01.xy, dx=l) G = D.line(v01, v02, **G_style) text_prop = dict(y=0.05, fontsize=20) G.text("$G$", **text_prop) x = x0 + .55 D.text(x, y0, "=", fontsize=30) x = x0 + .7 v21 = D.verticle(xy=(x,y0)) v22 = D.verticle(v21.xy, dx=l) G0 = D.line(v21, v22, **G0_style) G0.text("$G_0$", **text_prop) x = x0 + 1.25 D.text(x, y0, "+", fontsize=30)
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, arrow_param=dict(color='blue', length=0.08, width=0.02)) q2 = diagram.line(in2, v1, color='blue', lw=lw, arrow_param=dict(color='blue', length=0.08, width=0.02)) l1 = diagram.line(l1plus, higgsplusout, color='blue', lw=lw, arrow_param=dict(color='blue', length=0.08, width=0.02)) l2 = diagram.line(l2plus, higgsplusout, color='blue',
D.text(.75, y0, "=", fontsize=30) v30 = D.verticle([1.05, y0]) n1 = np.array([-np.sqrt(3)/6, .5]) n2 = np.array([-np.sqrt(3)/6,-.5]) n3 = np.array([ np.sqrt(3)/3, .0]) chunkdist = .05 v310 = D.verticle(v30.xy, dxy=n1*chunkdist, marker='') v320 = D.verticle(v30.xy, dxy=n2*chunkdist, marker='') v330 = D.verticle(v30.xy, dxy=n3*chunkdist, marker='') chunklen = .05 v31 = D.verticle(v310.xy, dxy=n1*chunklen, marker='') v32 = D.verticle(v320.xy, dxy=n2*chunklen, marker='') v33 = D.verticle(v330.xy, dxy=n3*chunklen, marker='') chunkstyle=dict(arrow=False, linewidth=6.) D.line(v310, v31, **chunkstyle) D.line(v320, v32, **chunkstyle) D.line(v330, v33, **chunkstyle) D.plot() fig.savefig('pdf/gw-Gamma.pdf')
from feynman import Diagram fig = matplotlib.pyplot.figure(figsize=(1., 1.)) ax = fig.add_axes([0, 0, 10, 10], frameon=False) diagram = Diagram(ax) #diagram.text(.5,0.9,"Gluon-Gluon Fusion (ggF)",fontsize=40) in1 = diagram.verticle(xy=(.1, .7), marker='') in2 = diagram.verticle(xy=(.1, .3), marker='') v1 = diagram.verticle(xy=(.4, .7)) v2 = diagram.verticle(xy=(.4, .3)) v3 = diagram.verticle(xy=(.6, .5)) higgsout = diagram.verticle(xy=(.9, .5)) gluon_style = dict(style='linear loopy', xamp=.025, yamp=.035, nloops=7) 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') g1.text("g", fontsize=30) g2.text("g", fontsize=30) t1.text("t", fontsize=30) t2.text("t", fontsize=30) t3.text(r"$\bar{\mathrm{t}}$", fontsize=35) higgs.text("H", fontsize=30) diagram.plot() fig.savefig('pdf/ggF-SM.pdf', bbox_inches='tight')
v30 = D.verticle(v02.xy, dx=2 * obj_spacing) n1 = np.array([-1., 0.]) n2 = np.array([1., 0.]) chunkdist = .03 v310 = D.verticle(v30.xy, dxy=n1 * chunkdist, marker='') v320 = D.verticle(v30.xy, dxy=n2 * chunkdist, marker='') chunklen = .025 v31 = D.verticle(v310.xy, dxy=n1 * chunklen, marker='') v32 = D.verticle(v320.xy, dxy=n2 * chunklen, marker='') chunkstyle = dict(arrow=False, linewidth=6.) D.line(v310, v31, **chunkstyle) D.line(v320, v32, **chunkstyle) D.text(v30.xy[0] + obj_spacing, y0, "-", fontsize=40) xy = [1.6, y0] v11 = D.verticle(v30.xy, dx=2 * obj_spacing) v12 = D.verticle(v11.xy, dx=linlen) v13 = D.verticle(v12.xy, dx=opwidth) D.line(v11, v12, **v_style) O = D.operator([v12, v13], c=1.3) O.text("$P$") D.plot()
opwidth = 0.3 linlen = 0.4 tail_marker = 'o' W_style = dict(style='double wiggly', nwiggles=2) v_style = dict(style='simple wiggly', nwiggles=2) D = Diagram(ax) arrowparam = dict(width=0.05) xy = [0.2, y0] v01 = D.verticle(xy, marker=tail_marker) xy[0] += linlen v02 = D.verticle(v01.xy, dx=linlen, marker=tail_marker) W = D.line(v01, v02, **W_style) text_prop = dict(y=0.06, fontsize=22) W.text("$W$", **text_prop) D.text(.75, y0, "=", fontsize=30) xy = [0.9, y0] v21 = D.verticle(xy, marker=tail_marker) v22 = D.verticle(v21.xy, dx=linlen, marker=tail_marker) v = D.line(v21, v22, **v_style) v.text("$v$", **text_prop) D.text(1.45, y0, "+", fontsize=30)
""" 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") l34.text("p") diagram.plot() plt.show()
# 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 v1 = D.verticle([D.x0, D.y0]) v2 = D.verticle(v1.xy, dx=opwidth) Sigma = D.operator([v1,v2]) Sigma.text("$\Sigma^{ep}$") # Item 2 D.text(v2.x + objspace, D.y0, "=", fontsize=30) # Item 3 v1 = D.verticle([v2.x + 2 * objspace, D.y0 - 0.3]) v2 = D.verticle(v1.xy, dx=linlen) G = D.line(v1, v2, **G_style) Ph = D.line(v1, v2, **Ph_style) # Item 2 D.text(v2.x + objspace, D.y0, "+", fontsize=30) # Item 3 v1 = D.verticle([v2.x + 3 * objspace, D.y0 - 0.3]) DW = D.line(v1, v1, **DW_style) D.plot() fig.savefig('pdf/phonons-Sigma.pdf')
"""Create the Fock interaction diagram.""" import matplotlib.pyplot as plt from feynman import Diagram diagram = Diagram() v1 = diagram.verticle(xy=(.1,.5), marker='') v2 = diagram.verticle(xy=(.3,.5)) v3 = diagram.verticle(xy=(.7,.5)) v4 = diagram.verticle(xy=(.9,.5), marker='') l12 = diagram.line(v1, v2, arrow=True) w23 = diagram.line(v2, v3, style='elliptic wiggly') l23 = diagram.line(v2, v3, arrow=True) l34 = diagram.line(v3, v4, arrow=True) l12.text("p") w23.text("q") l23.text("p-q") l34.text("p") diagram.plot() plt.savefig('pdf/fock.pdf') diagram.show()
# 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='') v230 = D.vertex(v20.xy, angle=2. / 3, radius=chunkdist, marker='') v21 = D.vertex(v20.xy, angle=0., radius=chunkdist + chunklen, marker='') v22 = D.vertex(v20.xy, angle=1. / 3, radius=chunkdist + chunklen, marker='') v23 = D.vertex(v20.xy, angle=2. / 3, radius=chunkdist + chunklen, marker='') D.line(v210, v21, **chunkstyle) D.line(v220, v22, **chunkstyle) D.line(v230, v23, **chunkstyle) # Symbol D.text(v20.x + txtpad, y0, "+") # Second term xy = [v20.x + 2 * txtpad, y0] v31 = D.vertex(xy, dy=side / 2) v32 = D.vertex(xy, dy=-side / 2) v33 = D.vertex(xy, dy=side / 2, dx=side) v34 = D.vertex(xy, dy=-side / 2, dx=side) K = D.operator([v31, v32, v34, v33]) K.text("$\\frac{\delta \Sigma}{\delta G}$")
# 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='') v230 = D.vertex(v20.xy, angle=2./3, radius=chunkdist, marker='') v21 = D.vertex(v20.xy, angle=0., radius=chunkdist+chunklen, marker='') v22 = D.vertex(v20.xy, angle=1./3, radius=chunkdist+chunklen, marker='') v23 = D.vertex(v20.xy, angle=2./3, radius=chunkdist+chunklen, marker='') D.line(v210, v21, **chunkstyle) D.line(v220, v22, **chunkstyle) D.line(v230, v23, **chunkstyle) # Symbol D.text(v20.x + txtpad, y0, "+") # Second term xy = [v20.x + 2 * txtpad, y0] v31 = D.vertex(xy, dy= side/2) v32 = D.vertex(xy, dy=-side/2) v33 = D.vertex(xy, dy= side/2, dx=side) v34 = D.vertex(xy, dy=-side/2, dx=side) K = D.operator([v31,v32,v34,v33]) K.text("$\\frac{\delta \Sigma}{\delta G}$")
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 l22 = D.line(v21, v22, style='double wiggly elliptic', nwiggles=5.5, amplitude=0.015) # 't' is the coordinate along the line (from 0 to 1) l21.text("G", t=0.4, y=.025, fontsize=24) l22.text("W", y=-.06, fontsize=24) # Plot and show D.plot() plt.show()
"""Create the Fock interaction diagram.""" from feynman import Diagram diagram = Diagram() v1 = diagram.verticle(xy=(.1, .5), marker='') v2 = diagram.verticle(xy=(.3, .5)) v3 = diagram.verticle(xy=(.7, .5)) v4 = diagram.verticle(xy=(.9, .5), marker='') l12 = diagram.line(v1, v2, arrow=True) w23 = diagram.line(v2, v3, pathtype='elliptic', linestyle='wiggly') l23 = diagram.line(v2, v3, arrow=True) l34 = diagram.line(v3, v4, arrow=True) l12.text("p") w23.text("q") l23.text("p-q") l34.text("p") diagram.plot() diagram.show()
"""Create the Fock interaction diagram.""" from feynman import Diagram diagram = Diagram() v1 = diagram.verticle(xy=(.1,.5), marker='') v2 = diagram.verticle(xy=(.3,.5)) v3 = diagram.verticle(xy=(.7,.5)) v4 = diagram.verticle(xy=(.9,.5), marker='') l12 = diagram.line(v1, v2, arrow=True) w23 = diagram.line(v2, v3, pathtype='elliptic', linestyle='wiggly') l23 = diagram.line(v2, v3, arrow=True) l34 = diagram.line(v3, v4, arrow=True) l12.text("p") w23.text("q") l23.text("p-q") l34.text("p") diagram.plot() diagram.show()
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') z1 = diagram.line(higgsout, zout1,arrow=False, style='wiggly') z2 = diagram.line(zout2, higgsout,arrow=False, style='wiggly') g1.text("$g$",fontsize=30) g2.text("$g$",fontsize=30) diagram.text(zout1.xy[0]+.025,zout1.xy[1],"$Z$",fontsize=30) diagram.text(zout2.xy[0]+.025,zout2.xy[1],"$Z$",fontsize=30) t1.text("$t$",fontsize=30) t2.text("$t$",fontsize=30) t3.text(r"$\bar{t}$",fontsize=30)
v03 = D.verticle(xy, dx=gammalen) gamma0 = D.operator([v01, v02, v03]) gamma0.text("$\Gamma$") D.text(.75, y0, "=", fontsize=30) v30 = D.verticle([1.05, y0]) n1 = np.array([-np.sqrt(3) / 6, .5]) n2 = np.array([-np.sqrt(3) / 6, -.5]) n3 = np.array([np.sqrt(3) / 3, .0]) chunkdist = .05 v310 = D.verticle(v30.xy, dxy=n1 * chunkdist, marker='') v320 = D.verticle(v30.xy, dxy=n2 * chunkdist, marker='') v330 = D.verticle(v30.xy, dxy=n3 * chunkdist, marker='') chunklen = .05 v31 = D.verticle(v310.xy, dxy=n1 * chunklen, marker='') v32 = D.verticle(v320.xy, dxy=n2 * chunklen, marker='') v33 = D.verticle(v330.xy, dxy=n3 * chunklen, marker='') chunkstyle = dict(arrow=False, linewidth=6.) D.line(v310, v31, **chunkstyle) D.line(v320, v32, **chunkstyle) D.line(v330, v33, **chunkstyle) D.plot() fig.savefig('pdf/gw-Gamma.pdf')
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) g1.text("g",fontsize=30) g2.text("g",fontsize=30) diagram.text(v3.xy[0], v3.xy[1]+0.1, r"$\bar{\mathrm{t}}$",fontsize=35) t2.text("t",fontsize=30) t3.text("t",fontsize=30) t4.text(r"$\bar{\mathrm{t}}$",fontsize=30) higgs.text("H",fontsize=35)
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, "+") # Item 3 v31 = D.vertex([v22.x + 3 * txtpad, D.y0 - 0.3]) DW = D.line(v31, v31, **DW_style) D.plot() plt.show()
v30 = D.verticle(v02.xy, dx=2*obj_spacing) n1 = np.array([-1.,0.]) n2 = np.array([ 1.,0.]) chunkdist = .03 v310 = D.verticle(v30.xy, dxy=n1*chunkdist, marker='') v320 = D.verticle(v30.xy, dxy=n2*chunkdist, marker='') chunklen = .025 v31 = D.verticle(v310.xy, dxy=n1*chunklen, marker='') v32 = D.verticle(v320.xy, dxy=n2*chunklen, marker='') chunkstyle=dict(arrow=False, linewidth=6.) D.line(v310, v31, **chunkstyle) D.line(v320, v32, **chunkstyle) D.text(v30.xy[0] + obj_spacing, y0, "-", fontsize=40) xy = [1.6, y0] v11 = D.verticle(v30.xy, dx=2 * obj_spacing) v12 = D.verticle(v11.xy, dx=linlen) v13 = D.verticle(v12.xy, dx=opwidth) D.line(v11, v12, **v_style) O = D.operator([v12,v13], c=1.3) O.text("$P$")
"""Create the Fock interaction diagram.""" import matplotlib.pyplot as plt from feynman import Diagram diagram = Diagram() v1 = diagram.verticle(xy=(.1, .5), marker='') v2 = diagram.verticle(xy=(.3, .5)) v3 = diagram.verticle(xy=(.7, .5)) v4 = diagram.verticle(xy=(.9, .5), marker='') l12 = diagram.line(v1, v2, arrow=True) w23 = diagram.line(v2, v3, style='elliptic wiggly') l23 = diagram.line(v2, v3, arrow=True) l34 = diagram.line(v3, v4, arrow=True) l12.text("p") w23.text("q") l23.text("p-q") l34.text("p") diagram.plot() plt.savefig('pdf/fock.pdf') diagram.show()
""" 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) in1 = diagram2.vertex(xy=(0.05, 0.75), marker='') in2 = diagram2.vertex(xy=(0.05, 0.25), marker='')
n1 = np.array([-np.sqrt(3)/6, .5]) n2 = np.array([-np.sqrt(3)/6,-.5]) n3 = np.array([ np.sqrt(3)/3, .0]) chunkdist = .05 v310 = D.verticle(v30.xy, dxy=n1*chunkdist, marker='') v320 = D.verticle(v30.xy, dxy=n2*chunkdist, marker='') v330 = D.verticle(v30.xy, dxy=n3*chunkdist, marker='') chunklen = .05 v31 = D.verticle(v310.xy, dxy=n1*chunklen, marker='') v32 = D.verticle(v320.xy, dxy=n2*chunklen, marker='') v33 = D.verticle(v330.xy, dxy=n3*chunklen, marker='') chunkstyle=dict(arrow=False, linewidth=6.) D.line(v310, v31, **chunkstyle) D.line(v320, v32, **chunkstyle) D.line(v330, v33, **chunkstyle) D.text(1.4, y0, "+", fontsize=30) xy = [1.6, y0] v11 = D.verticle(xy, dy= side/2) v12 = D.verticle(xy, dy=-side/2) v13 = D.verticle(xy, dy= side/2, dx=side) v14 = D.verticle(xy, dy=-side/2, dx=side) K = D.operator([v11,v12,v14,v13]) K.text("$\\frac{\delta \Sigma}{\delta G}$") v21 = D.verticle(v13.xy, dx=linlen)
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) diagram.text(0.69,0.35,"$Z/W^\pm$",fontsize=30) higgs.text("H",fontsize=30) diagram.plot() plt.show()
opwidth = 0.3 linlen = 0.4 W_style = dict(style='double wiggly', nwiggles=2) v_style = dict(style='simple wiggly', nwiggles=2) # First diagram D1 = Diagram(ax) xy = [0.2, y0] v01 = D1.verticle(xy) xy[0] += linlen v02 = D1.verticle(v01.xy, dx=linlen) W = D1.line(v01, v02, **W_style) text_prop = dict(y=0.06, fontsize=22) W.text("$W$", **text_prop) D1.text(.75, y0, "=", fontsize=30) xy = [0.9, y0] v11 = D1.verticle(xy) v13 = D1.verticle(v11.xy, dx=opwidth) v14 = D1.verticle(v13.xy, dx=linlen) O = D1.operator([v11, v13], c=1.1) O.text("${\\varepsilon^{-1}}$", x=.0, y=.01, fontsize=35) D1.line(v13, v14, **v_style)
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) q4 = diagram.line(v2, out2, arrow=False) t1 = diagram.line(higgsf, tau1) t2 = diagram.line(tau2, higgsf) q1.text("$q_1$",fontsize=30) q2.text("$q_2$",fontsize=30) diagram.text(v3.xy[0], v3.xy[1]+0.11, "$Z/W^\pm$",fontsize=30) wz2.text("$Z/W^\pm$",fontsize=30) q3.text("$q_3$",fontsize=30) q4.text("$q_4$",fontsize=30)
opwidth = 0.3 linlen = 0.8 tail_marker = 'o' Gamma_width = .3 W_style = dict(style='double wiggly', nwiggles=4) G_style = dict(style='double elliptic', ellipse_excentricity=-1.2, ellipse_spread=.3, arrow=True, arrow_param={'width':0.05}) D = Diagram(ax) xy = [0.2, y0] v01 = D.verticle(xy) v02 = D.verticle(v01.xy, dx=opwidth) P = D.operator([v01,v02], c=1.3) P.text("$P$") D.text(.70, y0, "=", fontsize=30) xy[0] = 0.9 v21 = D.verticle(xy) v22 = D.verticle(xy, dx=linlen) l21 = D.line(v22, v21, **G_style) l21 = D.line(v21, v22, **G_style) D.plot() fig.savefig('pdf/gw-P.pdf')
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) G1 = D.line(v22, v21, **G_style) G2 = D.line(v21, v22, **G_style) # Plot and show D.plot() plt.show()
import matplotlib from feynman import Diagram fig = matplotlib.pyplot.figure(figsize=(1., 1.)) ax = fig.add_axes([0, 0, 10, 10], frameon=False) diagram = Diagram(ax) in1 = diagram.verticle(xy=(.1, .5)) in2 = diagram.verticle(xy=(.4, .5)) v1 = diagram.verticle(xy=(.65, .65)) v2 = diagram.verticle(xy=(.65, .35)) out1 = diagram.verticle(xy=(.9, .65), marker='') out2 = diagram.verticle(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) #w.text(r"W$^\pm$",fontsize=40) diagram.text(0.72, 0.5, "$W^\pm$", fontsize=40) #diagram.text(0.69,0.35,"$Z/W^\pm$",fontsize=30) higgs.text("H", fontsize=40)
""" 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") l34.text("p") diagram.plot() plt.show()