def monte_carlo_rexy_imxy(mm1, mm2, i22, i33, samples):
result = 0
m1, m2 = mm1, mm2
i2, i3 = i22, i33
xbsg_list = []
ybsg_list = []
xnedm_list = []
ynedm_list = []
for _ in range(samples):
x = random.uniform(-40, 40)
y = random.uniform(-40, 40)
if float(bsg.BR_B_Xs_gamma(mb,mw,m1,m2,\
i2, complex(x,y) ,\
i3, complex(0.1,- y) ) / (1e-4)) >= 2.99 and float(bsg.BR_B_Xs_gamma(mb,mw,m1,m2,\
i2, complex(x,y) ,\
i3, complex(0.1,- y) ) / (1e-4)) <= 3.55 :
xbsg_list.append(x)
ybsg_list.append(y)
if float(abs(dn(m1,m2, complex(i,j),\
complex(i,-j) ) / (5.06e13) / 1e-26 )) >=0 and float(abs(dn(m1,m2, complex(i,j),\
complex(i,-j) ) / (5.06e13) / 1e-26 )) <=1.1:
xnedm_list.append(x)
ynedm_list.append(y)
result += 1
fig, ax = plt.subplots()
ax.set_aspect('equal')
ax.scatter(xbsg_list, ybsg_list, s=20, c='b')
ax.scatter(xnedm_list, ynedm_list, s=20, c='r')
plt.show()
plt.close()
return
def Plot_4(): #Andrew and Stefano Paper
x_axis = np.array([i for i in np.arange(100, 1020, 20)])
# print('II 2HDM tanbeta = 2',BR_B_Xs_gamma(mb,mw,x_axis,x_axis + 20,\
# [1.0/2.0],[1.0],[0],[0])\
# )
theta_c = bsg.PI / 4.0
tan_beta = 2.0
Y1_array = -1.0 / tan_beta * np.cos(theta_c)
X1_array = 1.0 / tan_beta * np.cos(theta_c)
X2_array = -1.0 / tan_beta * np.sin(theta_c)
Y2_array = 1.0 / tan_beta * np.sin(theta_c)
y12_2hdm = np.array(bsg.BR_B_Xs_gamma(mb,mw,x_axis,x_axis + bsg.mass_differ,\
[1.0/2.0],[-1.0/4.0],[0],[0]) )
y12_3hdm = np.array(bsg.BR_B_Xs_gamma(mb,mw,x_axis,x_axis + bsg.mass_differ,\
[Y1_array],[np.array(X1_array) * np.conjugate(Y1_array)],\
[Y2_array],[np.array(X2_array) * np.conjugate(Y2_array)]) )
plt.plot(x_axis, y12_2hdm / (1e-4))
plt.plot(x_axis, y12_3hdm / (1e-4))
plt.xlabel('$M_{H^{\pm}_{1}}$')
plt.ylabel('BR($\\bar{B} \\to X_{s} \gamma$) $\\times 10^{4}$')
plt.title('Figure 4:$\\theta = \\pi$/4,$M_{H^{\pm}_{2}}$ = $M_{H^{\pm}_{1}}$ +' \
+ str(bsg.mass_differ)+ ' GeV' )
plt.legend(('Type I tan$\\beta =$ 2 2HDM', 'Type I tan$\\beta =$ 2 3HDM '))
# for n in np.arange(0,len(axs)):
# y22_axis3hdm= BR_B_Xs_gamma(mb,mw,x_axis,x_axis + 20,\
# Y2(*array4()[n]),complexyfunction(*array4()[n]),\
# Y3(*array4()[n]),complexyfunction3(*array4()[n]))
# plt.plot(x_axis,y22_axis3hdm / (1e-4))
plt.axis([100.0, 1000.0, 1.0, 7.0])
plt.show()
plt.close()
return
def plt_A_B_bsg(i, j): # Bsgamma-result in {A,B} plane
mass_axis1, mass_axis2 = i, j
print(ABarray4()[0], mass_axis1, len(ABarray4()))
print(ABarray4()[1], mass_axis2, len(ABarray4()))
resultb = []
#B>Xs+gamma SECTION
for n in np.arange(0, len(ABarray4())):
y3hdm= bsg.BR_B_Xs_gamma(mb,mw,mass_axis1,mass_axis2,\
exe.Y2(*ABarray4()[n] ), exe.complexyfunction(*ABarray4()[n] ),\
exe.Y3(*ABarray4()[n] ), exe.complexyfunction3(*ABarray4()[n] ))
resultb.append(y3hdm / (1e-4))
#########
bsgamm = plt.contourf(exe.A, exe.B, \
np.resize(np.array(resultb).flatten() ,len(np.array(resultb).flatten() ) ).\
reshape(len(exe.B),len(exe.A)) ,\
levels = np.array([2.99,3.55]),colors = ['green'] )
plt.colorbar(bsgamm)
plt.title('BR($\\bar{B} \\to X_{s} \gamma$) in '\
+ str("%02d" % mass_axis1) +', ' + str("%02d"% mass_axis2) )
plt.xlabel(exe.readlist[int(exe.read1)])
plt.ylabel(exe.readlist[int(exe.read2)])
plt.axis([0, 6.5, -1.6, 0])
# plt.axis([1,60,-1.6,0])
# plt.axis([0,60,0,60])
plt.savefig(
str("%02d" % mass_axis1) + str("%02d" % mass_axis2) + 'bsg.png')
plt.show()
plt.close()
def plot_under_deltascan(i, j, k, l):
m1_axis = np.array([i for i in np.arange(50, 550, 50)])
m2_axis = np.array([i for i in np.arange(50, 1050, 50)])
m2 = m2_axis[0]
m1 = m1_axis[0]
# print('i,j,k,l',i,j,k,l)
# xx, yy = np.meshgrid(m1_axis, m2_axis)
print('i,j,k,l', i, j, k, l)
empty = []
for m2 in m2_axis:
for m1 in m1_axis:
threehdm = bsg.BR_B_Xs_gamma(mb,mw,m1,m2,\
[exe.Y2(i,j,k,l)],[- exe.X2(i,j,k,l) * np.conjugate(exe.Y2(i,j,k,l) )],\
[exe.Y3(i,j,k,l)],[- exe.X3(i,j,k,l) * np.conjugate(exe.Y3(i,j,k,l) )])
empty.append(threehdm)
result = plt.contourf(m1_axis, m2_axis, \
np.resize(np.array(empty) / (1e-4),len(np.array(empty) / (1e-4))).\
reshape(len(m2_axis),len(m1_axis)), \
colors = ['black','royalblue','purple','darkgreen','brown','red','gray','orange'],\
levels = np.array([2.99,3.55])
)
plt.colorbar(result)
plt.xlabel('$M_{H^{\pm}_{1}}$')
plt.ylabel('$M_{H^{\pm}_{2}}$')
plt.title('BR($\\bar{B} \\to X_{s} \gamma$) $\\times 10^{4}$')
plt.grid(axis='y', linestyle='-', color='0.75') # show y-axis grid line
plt.grid(axis='x', linestyle='-', color='0.75') # show x-axis grid line
# plt.axis([50,200, 50.0, 1000.0])
plt.axis([0, 500, 0.0, 1000.0])
plt.show()
plt.close()
def Plot_5(): #Andrew and Stefano Paper
x_axis = np.array([i for i in np.arange(100, 1020, 20)])
# print('II 2HDM tanbeta = 2',BR_B_Xs_gamma(mb,mw,x_axis,x_axis + 20,\
# [1.0/2.0],[1.0],[0],[0])\
# )
# cpphase = np.exp(complex(0,PI))
y22_2hdm = np.array(bsg.BR_B_Xs_gamma(mb,mw,x_axis,x_axis + bsg.mass_differ,\
[1.0/2.0],[1.0],[0],[0]) )
plt.plot(x_axis, y22_2hdm / (1e-4))
theta_c = -bsg.PI / 4.0
tan_beta = 2
cos_beta = 1 / np.sqrt(1 + tan_beta**2)
# tan_gamma = n
for n in np.array([2, 4, 7, 10, 20]):
X1_array = -tan_beta * np.cos(theta_c) - n / (cos_beta) * np.sin(
theta_c) #\
# * cpphase
Y1_array = -1.0 / tan_beta * np.cos(theta_c)
X2_array = tan_beta * np.sin(theta_c) - n / (cos_beta) * np.cos(
theta_c) #\
# * cpphase
Y2_array = 1.0 / tan_beta * np.sin(theta_c)
y12_3hdm = np.array(bsg.BR_B_Xs_gamma(mb,mw,x_axis,x_axis + bsg.mass_differ,\
[Y1_array],[np.array(X1_array) * np.conjugate(Y1_array)],\
[Y2_array],[np.array(X2_array) * np.conjugate(Y2_array)]) )
# print(y12_3hdm/ (1e-4))
plt.plot(x_axis, y12_3hdm / (1e-4))
plt.xlabel('$M_{H^{\pm}_{1}}$')
plt.ylabel('BR($\\bar{B} \\to X_{s} \gamma$) $\\times 10^{4}$')
plt.title('Figure 5:$\\theta = -\\pi$/4, $M_{H^{\pm}_{2}}$ = $M_{H^{\pm}_{1}}$ +' \
+ str(bsg.mass_differ)+ ' GeV' )
plt.legend(('Type II tan$\\beta =$ 2 2HDM', 'Type II tan$\\gamma =$ 2 3HDM ',\
'Type II tan$\\gamma =$ 4 3HDM ','Type II tan$\\gamma =$ 7 3HDM ',\
'Type II tan$\\gamma =$ 10 3HDM ','Type II tan$\\gamma =$ 20 3HDM '),\
loc='upper right', shadow=True,prop={'size': 7.5} )
# for n in np.arange(0,len(axs)):
# y22_axis3hdm= BR_B_Xs_gamma(mb,mw,x_axis,x_axis + 20,\
# Y2(*array4()[n]),complexyfunction(*array4()[n]),\
# Y3(*array4()[n]),complexyfunction3(*array4()[n]))
# plt.plot(x_axis,y22_axis3hdm / (1e-4))
plt.axis([100.0, 1000.0, 1.0, 6.0])
plt.show()
plt.close()
return
def numerical():
mass_axis = (80.0, 250.0)
result = []
for n in np.arange(0, len(ABarray4())):
y3hdm= bsg.BR_B_Xs_gamma(mb,mw,mass_axis[0],mass_axis[1],\
exe.Y2(*ABarray4()[n] ),- exe.complexyfunction(*ABarray4()[n] ),\
exe.Y3(*ABarray4()[n] ),- exe.complexyfunction3(*ABarray4()[n] ))
# print(y3hdm / (1e-4),n)
result.append(y3hdm / (1e-4))
return np.concatenate(result).ravel()
def Plot_3(): #Figure 3 DOI: 10.1142/S0217751X17501457
x_axis = np.array([i for i in np.arange(100, 1020, 20)])
print(x_axis, type(x_axis), x_axis.shape)
y11_axis = np.array(bsg.BR_B_Xs_gamma(mb,mw,x_axis,x_axis + bsg.mass_differ,\
[1.0],[-1.0],[0],[0]) )
y12_axis = np.array(bsg.BR_B_Xs_gamma(mb,mw,x_axis,x_axis + bsg.mass_differ,\
[1.0/2.0],[-1.0/4.0],[0],[0]) )
y130_axis = np.array(bsg.BR_B_Xs_gamma(mb,mw,x_axis,x_axis + bsg.mass_differ,\
[1.0/30.0],[-1.0/900],[0],[0]) )
y21_axis = np.array(bsg.BR_B_Xs_gamma(mb,mw,x_axis,x_axis + bsg.mass_differ,\
[1.0],[1.0],[0],[0]) )
y22_axis = np.array(bsg.BR_B_Xs_gamma(mb,mw,x_axis,x_axis + bsg.mass_differ,\
[1.0/2.0],[1.0],[0],[0]) )
y230_axis = np.array(bsg.BR_B_Xs_gamma(mb,mw,x_axis,x_axis + bsg.mass_differ,\
[1.0/30.0],[1.0],[0],[0]) )
plt.axis([100.0, 1000.0, 1.0, 7.0])
plt.plot(x_axis, y11_axis / (1e-4))
plt.plot(x_axis, y12_axis / (1e-4))
plt.plot(x_axis, y130_axis / (1e-4))
plt.plot(x_axis, y21_axis / (1e-4))
plt.plot(x_axis, y22_axis / (1e-4))
plt.plot(x_axis, y230_axis / (1e-4))
print('type I tanbeta = 1', y11_axis / (1e-4))
print('type I tanbeta = 30', y130_axis / (1e-4))
plt.xlabel('$M_{H^{\pm}}$')
plt.ylabel('BR($\\bar{B} \\to X_{s} \gamma$) $\\times 10^{4}$')
plt.title(
'Figure 3: BR($\\bar{B} \\to X_{s} \gamma$) VS. $M_{H^{\pm}_{1}}$ ')
plt.legend(('Type I tan$\\beta =$ 1', 'Type I tan$\\beta =$ 2', 'Type I tan$\\beta =$ 30',\
'Type II tan$\\beta =$ 1', 'Type II tan$\\beta =$ 2', 'Type II tan$\\beta =$ 30'),
loc='upper right', shadow=True,prop={'size': 7.8})
plt.show()
plt.close
def plt_A_B_bsgnedm(i, j): # Bsgamma-result and N-EDM in {A,B} plane
mass_axis1, mass_axis2 = i, j
print(ABarray4()[0], mass_axis1, len(ABarray4()))
print(ABarray4()[1], mass_axis2, len(ABarray4()))
resultb = []
resultn = []
resulte = []
#B>Xs+gamma SECTION
for n in np.arange(0, len(ABarray4())):
y3hdm= bsg.BR_B_Xs_gamma(mb,mw,mass_axis1,mass_axis2,\
exe.Y2(*ABarray4()[n] ), exe.complexyfunction(*ABarray4()[n] ),\
exe.Y3(*ABarray4()[n] ), exe.complexyfunction3(*ABarray4()[n] ))
resultb.append(y3hdm / (1e-4))
#Nedm SECTION
nedm3hdm = abs(dn(mass_axis1,mass_axis2, exe.complexyfunction(*ABarray4()[n]),\
exe.complexyfunction3(*ABarray4()[n]) ) / (5.06e13) )\
/ 1e-26
resultn.append(nedm3hdm)
#eedm SECTION
eedm3hdm = abs(de(mass_axis1,mass_axis2,exe.yconjz2(*ABarray4()[n]),\
exe.yconjz3(*ABarray4()[n]) ) /1e-29 )
resulte.append(eedm3hdm)
#########
ned = plt.contourf(exe.A, exe.B, \
np.resize(np.array(resultn).flatten() ,len(np.array(resultn).flatten() ) ).\
reshape(len(exe.B),len(exe.A)) ,\
levels = np.array([0.0,1.8]),colors = ['red'] )
#########
bsgamm = plt.contourf(exe.A, exe.B, \
np.resize(np.array(resultb).flatten() ,len(np.array(resultb).flatten() ) ).\
reshape(len(exe.B),len(exe.A)) ,\
levels = np.array([2.99,3.55]),colors = ['green'] )
#########
# eed = plt.contourf(exe.A, exe.B, \
# np.resize(np.array(resulte).flatten() ,len(np.array(resulte).flatten() ) ).\
# reshape(len(exe.B),len(exe.A)) ,\
# levels = np.array([0.0,1.1]),colors = ['blue'] )
plt.title('BR($\\bar{B} \\to X_{s} \gamma$) and NEDM in '\
+ str("%02d" % mass_axis1) +', ' + str("%02d"% mass_axis2) )
plt.xlabel(exe.readlist[int(exe.read1)])
plt.ylabel(exe.readlist[int(exe.read2)])
# plt.axis([0,60,-1.6,0]) #{tanbeta/tangamma,theta} plane
# plt.axis([0,2 * PI ,-1.6,0]) #{theta,delta} plane
plt.axis([0, 60, 0, 60]) # {tanbeta,tangamma} plane
plt.savefig(
str("%02d" % mass_axis1) + str("%02d" % mass_axis2) + 'bsg.png')
plt.show()
plt.close()
def rexy_imxy_bsg_nedm(mm1, mm2, i22, i33):
#imn2min,max 0.0 42.9827952239115
#imn2min,max 0.0 42.9827952239115
#ren2min,max 0.0008955247801336608 43.58968705776075
#ren3min,max 0.0013616841467565938 43.32971016574854
m1, m2 = mm1, mm2
i2, i3 = i22, i33
re2 = np.arange(-43.6, 43.3)
re3 = np.arange(-43.3, 43.6)
im2 = np.arange(-43, 44)
im3 = np.arange(-43, 44)
j2 = re2 + 1j * im2
j3 = re3 + 1j * im3
# print(j2.real,j3)
resultb = []
resultn = []
for j in j2.imag:
for i in j2.real:
#B>Xs+gamma SECTION
y3hdm= bsg.BR_B_Xs_gamma(mb,mw,m1,m2,\
i2, complex(i,j) ,\
i3, complex(10,-j) )
resultb.append(y3hdm / (1e-4))
#Nedm SECTION
nedm3hdm = abs(dn(m1,m2, complex(i,j),\
complex(i,-j) ) / (5.06e13) / 1e-26 )
resultn.append(nedm3hdm)
# print(resultn)
#########
ned = plt.contourf(j2.real, j2.imag, \
np.resize(np.array(resultn).flatten() ,len(np.array(resultn).flatten() ) ).\
reshape(len(j2.imag),len(j2.real)) ,\
levels = np.array([0.0,1.8]),colors = ['red'] )
#########
bsgamm = plt.contourf(j2.real, j2.imag, \
np.resize(np.array(resultb).flatten() ,len(np.array(resultb).flatten() ) ).\
reshape(len(j2.imag),len(j2.real)) ,\
levels = np.array([2.99,3.55]),colors = ['green'] )
plt.title('BR($\\bar{B} \\to X_{s} \gamma$) and NEDM in '\
+ str("%02d" % m1) +', ' + str("%02d"% m2) )
plt.xlabel('Re$(X_2Y_2^*)$')
plt.ylabel('Im$(X_2Y_2^*)$')
# plt.axis([-40,-15, -10,15])
# plt.savefig('rexy2imxy2'+ str("%02d" % m1) + str("%02d"% m2) +'.png')
plt.show()
plt.close()
return
def Plot4_8_9(): #Boltzmati's Paper
x_axis = np.arange(-10.0, 10.25, 0.25) # figure 8
XYimx_axis = [complex(-2, i) * 1.0 for i in x_axis]
rangephi = np.arange(0, np.pi, 0.01) # figure 9
# print('rangephi', rangephi,len(rangephi))
XYexpim_axis = [complex(np.cos(j), np.sin(j)) for j in rangephi]
# print('REALX,IMX:',[np.complex(-2,i)*1.0 for i in xim_axis],XYimx_axis)
# print('X = 2exp(i phi)',XYexpim_axis,len(XYexpim_axis))
mhch = 100
y48_axis = bsg.BR_B_Xs_gamma(4.8,mhch,mhch,mhch + bsg.mass_differ ,\
[1.0],x_axis ,[0.0],[0.0])
y24_axis = bsg.BR_B_Xs_gamma(2.4,mhch,mhch,mhch + bsg.mass_differ ,\
[1.0],x_axis ,[0.0],[0.0])
y96_axis = bsg.BR_B_Xs_gamma(9.6,mhch,mhch,mhch + bsg.mass_differ ,\
[1.0],x_axis ,[0.0],[0.0])
y48imx_axis = bsg.BR_B_Xs_gamma(4.8,mhch,mhch,mhch + bsg.mass_differ ,\
[1.0],XYimx_axis,[0.0],[0.0])
y24imx_axis = bsg.BR_B_Xs_gamma(2.4,mhch,mhch,mhch + bsg.mass_differ,\
[1.0],XYimx_axis,[0.0],[0.0])
y96imx_axis = bsg.BR_B_Xs_gamma(9.6,mhch,mhch,mhch + bsg.mass_differ,\
[1.0],XYimx_axis,[0.0],[0.0])
y48phi_axis = bsg.BR_B_Xs_gamma(4.8,mhch,mhch,mhch + bsg.mass_differ ,\
[0.5],XYexpim_axis,[0.0],[0.0])
y24phi_axis = bsg.BR_B_Xs_gamma(2.4,mhch,mhch,mhch + bsg.mass_differ,\
[0.5],XYexpim_axis,[0.0],[0.0])
y96phi_axis = bsg.BR_B_Xs_gamma(9.6,mhch,mhch,mhch + bsg.mass_differ,\
[0.5],XYexpim_axis,[0.0],[0.0])
# print('----',XYimx_axis)
# print(x_axis)
# print('48',y48_axis * (1e4))
# print('24',y24_axis * (1e4))
# print('96',y96_axis * (1e4))
# print('48im',y48imx_axis * (1e4) )
# print('24im',y24imx_axis * (1e4))
# print('96im',y96imx_axis * (1e4))
plt.xlim(-10, 2)
plt.ylim(-5, 10)
plt.plot(x_axis, y48_axis * (1e4))
plt.plot(x_axis, y24_axis * (1e4))
plt.plot(x_axis, y96_axis * (1e4))
plt.grid(axis='x', linestyle='-', color='0.4') # show x-axis grid line
plt.grid(axis='y', linestyle='-', color='0.4') # show x-axis grid line
plt.xlabel('X')
plt.ylabel('BR($\\bar{B} \\to X_{s} \gamma$) $\\times 10^{4}$')
plt.title('Figure4')
plt.legend(('$\mu = 4.8$ GeV', '$\mu = 2.4$ GeV', '$\mu = 9.6$ GeV '),
loc='lower left',
shadow=True,
prop={'size': 8})
plt.show()
plt.xlim(-7, 7)
plt.ylim(-2, 7)
plt.plot(x_axis, y48imx_axis * (1e4))
plt.plot(x_axis, y24imx_axis * (1e4))
plt.plot(x_axis, y96imx_axis * (1e4))
#plt.grid(axis='y', linestyle='-', color='0.75') # show y-axis grid line
plt.grid(axis='x', linestyle='-', color='0.75') # show x-axis grid line
plt.grid(axis='y', linestyle='-', color='0.75') # show x-axis grid line
plt.xlabel('Im(X)')
plt.ylabel('BR($\\bar{B} \\to X_{s} \gamma$) $\\times 10^{4}$')
plt.title('Figure8')
plt.legend(('$\mu = 4.8$ GeV', '$\mu = 2.4$ GeV', '$\mu = 9.6$ GeV '),
loc='lower right',
shadow=True,
prop={'size': 8})
plt.show()
plt.close
plt.plot(rangephi, y48phi_axis / (1e-4))
plt.plot(rangephi, y24phi_axis / (1e-4))
plt.plot(rangephi, y96phi_axis / (1e-4))
plt.grid(axis='x', linestyle='-', color='0.75') # show x-axis grid line
plt.grid(axis='y', linestyle='-', color='0.75') # show x-axis grid line
plt.xlabel('$\\phi$')
plt.ylabel('BR($\\bar{B} \\to X_{s} \gamma$) $\\times 10^{4}$')
plt.title('Figure9')
plt.legend(('$\mu = 4.8$ GeV', '$\mu = 2.4$ GeV', '$\mu = 9.6$ GeV '),
loc='upper right',
shadow=True,
prop={'size': 8})
plt.xlim(0, np.pi)
plt.ylim(0, 8.0)
plt.show()
plt.close