| 1 | ################################################################################
|
|---|
| 2 | #
|
|---|
| 3 | # Copyright (c) 2010 The MadGraph Development team and Contributors
|
|---|
| 4 | #
|
|---|
| 5 | # This file is a part of the MadGraph 5 project, an application which
|
|---|
| 6 | # automatically generates Feynman diagrams and matrix elements for arbitrary
|
|---|
| 7 | # high-energy processes in the Standard Model and beyond.
|
|---|
| 8 | #
|
|---|
| 9 | # It is subject to the MadGraph license which should accompany this
|
|---|
| 10 | # distribution.
|
|---|
| 11 | #
|
|---|
| 12 | # For more information, please visit: http://madgraph.phys.ucl.ac.be
|
|---|
| 13 | #
|
|---|
| 14 | ################################################################################
|
|---|
| 15 | ## Diagram of Class
|
|---|
| 16 | ##
|
|---|
| 17 | ## Variable <--- HelasLib.ScalarVariable
|
|---|
| 18 | ## |
|
|---|
| 19 | ## +- LorentzObject <--- Gamma
|
|---|
| 20 | ## |
|
|---|
| 21 | ## +- Sigma
|
|---|
| 22 | ## |
|
|---|
| 23 | ## +- P
|
|---|
| 24 | ##
|
|---|
| 25 | ## list <--- AddVariable
|
|---|
| 26 | ## |
|
|---|
| 27 | ## +- MultVariable <--- MultLorentz
|
|---|
| 28 | ##
|
|---|
| 29 | ## list <--- LorentzObjectRepresentation <-- ConstantObject
|
|---|
| 30 | ##
|
|---|
| 31 | ################################################################################
|
|---|
| 32 |
|
|---|
| 33 | import helasamp_lib as HelasLib
|
|---|
| 34 |
|
|---|
| 35 | #===============================================================================
|
|---|
| 36 | # P (Impulsion)
|
|---|
| 37 | #===============================================================================
|
|---|
| 38 | class P(HelasLib.LorentzObject):
|
|---|
| 39 | """ Helas Object for an Impulsion """
|
|---|
| 40 |
|
|---|
| 41 | def __init__(self, lorentz1, particle, prefactor=1, constant=0):
|
|---|
| 42 |
|
|---|
| 43 | self.particle = particle
|
|---|
| 44 | HelasLib.LorentzObject.__init__(self, [lorentz1], [], ['P%s'%particle], \
|
|---|
| 45 | prefactor=prefactor,constant=constant)
|
|---|
| 46 |
|
|---|
| 47 |
|
|---|
| 48 | def create_representation(self):
|
|---|
| 49 | self.sub0 = HelasLib.ScalarVariable('P%s_0' % self.particle, self.tag)
|
|---|
| 50 | self.sub1 = HelasLib.ScalarVariable('P%s_1' % self.particle, self.tag)
|
|---|
| 51 | self.sub2 = HelasLib.ScalarVariable('P%s_2' % self.particle, self.tag)
|
|---|
| 52 | self.sub3 = HelasLib.ScalarVariable('P%s_3' % self.particle, self.tag)
|
|---|
| 53 |
|
|---|
| 54 | self.representation= HelasLib.LorentzObjectRepresentation(
|
|---|
| 55 | [self.sub0, self.sub1, self.sub2, self.sub3],
|
|---|
| 56 | self.lorentz_ind,[],self.tag)
|
|---|
| 57 |
|
|---|
| 58 | #===============================================================================
|
|---|
| 59 | # Mass
|
|---|
| 60 | #===============================================================================
|
|---|
| 61 | class Mass(HelasLib.LorentzObject):
|
|---|
| 62 | """ Helas Object for a Mass"""
|
|---|
| 63 |
|
|---|
| 64 | def __init__(self, particle, prefactor=1, constant=0):
|
|---|
| 65 |
|
|---|
| 66 | self.particle = particle
|
|---|
| 67 | HelasLib.LorentzObject.__init__(self, [], [], ['M%s' % particle], \
|
|---|
| 68 | prefactor=prefactor, constant=constant)
|
|---|
| 69 |
|
|---|
| 70 |
|
|---|
| 71 | def create_representation(self):
|
|---|
| 72 | mass = HelasLib.ScalarVariable('M%s' % self.particle, self.tag)
|
|---|
| 73 |
|
|---|
| 74 | self.representation = HelasLib.LorentzObjectRepresentation(
|
|---|
| 75 | mass, self.lorentz_ind, self.spin_ind, self.tag)
|
|---|
| 76 |
|
|---|
| 77 | #===============================================================================
|
|---|
| 78 | # OverMass2
|
|---|
| 79 | #===============================================================================
|
|---|
| 80 | class OverMass2(HelasLib.LorentzObject):
|
|---|
| 81 | """ Helas Object for 1/M**2 """
|
|---|
| 82 |
|
|---|
| 83 | def __init__(self, particle, prefactor=1, constant=0):
|
|---|
| 84 |
|
|---|
| 85 | self.particle = particle
|
|---|
| 86 |
|
|---|
| 87 | tag= ['mass%s' %particle, 'OM%s' % particle]
|
|---|
| 88 | HelasLib.LorentzObject.__init__(self, [], [], tag, \
|
|---|
| 89 | prefactor=prefactor, constant=constant)
|
|---|
| 90 |
|
|---|
| 91 |
|
|---|
| 92 | def create_representation(self):
|
|---|
| 93 | mass = HelasLib.ScalarVariable('OM%s' % self.particle, self.tag)
|
|---|
| 94 |
|
|---|
| 95 | self.representation = HelasLib.LorentzObjectRepresentation(
|
|---|
| 96 | mass, self.lorentz_ind, self.spin_ind, self.tag)
|
|---|
| 97 |
|
|---|
| 98 | #===============================================================================
|
|---|
| 99 | # Width
|
|---|
| 100 | #===============================================================================
|
|---|
| 101 | class Width(HelasLib.LorentzObject):
|
|---|
| 102 | """ Helas Object for an Impulsion """
|
|---|
| 103 |
|
|---|
| 104 | def __init__(self, particle, prefactor=1, constant=0):
|
|---|
| 105 |
|
|---|
| 106 | self.particle = particle
|
|---|
| 107 | HelasLib.LorentzObject.__init__(self, [], [], ['W%s' % particle], \
|
|---|
| 108 | prefactor=prefactor, constant=constant)
|
|---|
| 109 |
|
|---|
| 110 | def create_representation(self):
|
|---|
| 111 | width = HelasLib.ScalarVariable('W%s' % self.particle, self.tag)
|
|---|
| 112 |
|
|---|
| 113 | self.representation= HelasLib.LorentzObjectRepresentation(
|
|---|
| 114 | width, self.lorentz_ind, self.spin_ind, self.tag)
|
|---|
| 115 |
|
|---|
| 116 | #===============================================================================
|
|---|
| 117 | # Scalar
|
|---|
| 118 | #===============================================================================
|
|---|
| 119 | class Scalar(HelasLib.LorentzObject):
|
|---|
| 120 | """ Helas Object for a Spinor"""
|
|---|
| 121 |
|
|---|
| 122 | def __init__(self, particle, prefactor=1, constant=0):
|
|---|
| 123 |
|
|---|
| 124 | self.particle = particle
|
|---|
| 125 | HelasLib.LorentzObject.__init__(self, [], [], ['S%s' % particle], \
|
|---|
| 126 | prefactor=prefactor,constant=constant)
|
|---|
| 127 |
|
|---|
| 128 |
|
|---|
| 129 | def create_representation(self):
|
|---|
| 130 | rep = HelasLib.ScalarVariable('S%s_1' % self.particle, self.tag)
|
|---|
| 131 | self.representation= HelasLib.LorentzObjectRepresentation(
|
|---|
| 132 | rep,
|
|---|
| 133 | [],[],self.tag)
|
|---|
| 134 |
|
|---|
| 135 |
|
|---|
| 136 | #===============================================================================
|
|---|
| 137 | # Spinor
|
|---|
| 138 | #===============================================================================
|
|---|
| 139 | class Spinor(HelasLib.LorentzObject):
|
|---|
| 140 | """ Helas Object for a Spinor"""
|
|---|
| 141 |
|
|---|
| 142 | def __init__(self, spin1, particle, prefactor=1, constant=0):
|
|---|
| 143 |
|
|---|
| 144 | self.particle = particle
|
|---|
| 145 | HelasLib.LorentzObject.__init__(self, [], [spin1], ['F%s' % particle], \
|
|---|
| 146 | prefactor=prefactor,constant=constant)
|
|---|
| 147 |
|
|---|
| 148 |
|
|---|
| 149 | def create_representation(self):
|
|---|
| 150 | self.sub0 = HelasLib.ScalarVariable('F%s_1' % self.particle, self.tag)
|
|---|
| 151 | self.sub1 = HelasLib.ScalarVariable('F%s_2' % self.particle, self.tag)
|
|---|
| 152 | self.sub2 = HelasLib.ScalarVariable('F%s_3' % self.particle, self.tag)
|
|---|
| 153 | self.sub3 = HelasLib.ScalarVariable('F%s_4' % self.particle, self.tag)
|
|---|
| 154 |
|
|---|
| 155 | self.representation= HelasLib.LorentzObjectRepresentation(
|
|---|
| 156 | [self.sub0, self.sub1, self.sub2, self.sub3],
|
|---|
| 157 | [],self.spin_ind,self.tag)
|
|---|
| 158 |
|
|---|
| 159 | #===============================================================================
|
|---|
| 160 | # Vector
|
|---|
| 161 | #===============================================================================
|
|---|
| 162 | class Vector(HelasLib.LorentzObject):
|
|---|
| 163 | """ Helas Object for a Vector"""
|
|---|
| 164 |
|
|---|
| 165 | def __init__(self, lorentz, particle, prefactor=1, constant=0):
|
|---|
| 166 |
|
|---|
| 167 | self.particle = particle
|
|---|
| 168 | HelasLib.LorentzObject.__init__(self, [lorentz], [], ['V%s' % particle], \
|
|---|
| 169 | prefactor=prefactor,constant=constant)
|
|---|
| 170 |
|
|---|
| 171 |
|
|---|
| 172 | def create_representation(self):
|
|---|
| 173 | self.sub0 = HelasLib.ScalarVariable('V%s_1' % self.particle, self.tag)
|
|---|
| 174 | self.sub1 = HelasLib.ScalarVariable('V%s_2' % self.particle, self.tag)
|
|---|
| 175 | self.sub2 = HelasLib.ScalarVariable('V%s_3' % self.particle, self.tag)
|
|---|
| 176 | self.sub3 = HelasLib.ScalarVariable('V%s_4' % self.particle, self.tag)
|
|---|
| 177 |
|
|---|
| 178 | self.representation= HelasLib.LorentzObjectRepresentation(
|
|---|
| 179 | [self.sub0, self.sub1, self.sub2, self.sub3],
|
|---|
| 180 | self.lorentz_ind, [], self.tag)
|
|---|
| 181 |
|
|---|
| 182 | #===============================================================================
|
|---|
| 183 | # Spin2
|
|---|
| 184 | #===============================================================================
|
|---|
| 185 | class Spin2(HelasLib.LorentzObject):
|
|---|
| 186 | """ Helas Object for a Spin2"""
|
|---|
| 187 |
|
|---|
| 188 | def __init__(self, lorentz1, lorentz2, particle, prefactor=1, constant=0):
|
|---|
| 189 |
|
|---|
| 190 | self.particle = particle
|
|---|
| 191 | if lorentz2 < lorentz1:
|
|---|
| 192 | lorentz1, lorentz2 = lorentz2, lorentz1
|
|---|
| 193 |
|
|---|
| 194 | HelasLib.LorentzObject.__init__(self, [lorentz1, lorentz2], [], \
|
|---|
| 195 | ['T%s' % particle], prefactor=prefactor, \
|
|---|
| 196 | constant=constant)
|
|---|
| 197 |
|
|---|
| 198 | def create_representation(self):
|
|---|
| 199 |
|
|---|
| 200 | self.sub00 = HelasLib.ScalarVariable('T%s_1' % self.particle, self.tag)
|
|---|
| 201 | self.sub01 = HelasLib.ScalarVariable('T%s_2' % self.particle, self.tag)
|
|---|
| 202 | self.sub02 = HelasLib.ScalarVariable('T%s_3' % self.particle, self.tag)
|
|---|
| 203 | self.sub03 = HelasLib.ScalarVariable('T%s_4' % self.particle, self.tag)
|
|---|
| 204 |
|
|---|
| 205 | self.sub10 = HelasLib.ScalarVariable('T%s_5' % self.particle, self.tag)
|
|---|
| 206 | self.sub11 = HelasLib.ScalarVariable('T%s_6' % self.particle, self.tag)
|
|---|
| 207 | self.sub12 = HelasLib.ScalarVariable('T%s_7' % self.particle, self.tag)
|
|---|
| 208 | self.sub13 = HelasLib.ScalarVariable('T%s_8' % self.particle, self.tag)
|
|---|
| 209 |
|
|---|
| 210 | self.sub20 = HelasLib.ScalarVariable('T%s_9' % self.particle, self.tag)
|
|---|
| 211 | self.sub21 = HelasLib.ScalarVariable('T%s_10' % self.particle, self.tag)
|
|---|
| 212 | self.sub22 = HelasLib.ScalarVariable('T%s_11' % self.particle, self.tag)
|
|---|
| 213 | self.sub23 = HelasLib.ScalarVariable('T%s_12' % self.particle, self.tag)
|
|---|
| 214 |
|
|---|
| 215 | self.sub30 = HelasLib.ScalarVariable('T%s_13' % self.particle, self.tag)
|
|---|
| 216 | self.sub31 = HelasLib.ScalarVariable('T%s_14' % self.particle, self.tag)
|
|---|
| 217 | self.sub32 = HelasLib.ScalarVariable('T%s_15' % self.particle, self.tag)
|
|---|
| 218 | self.sub33 = HelasLib.ScalarVariable('T%s_16' % self.particle, self.tag)
|
|---|
| 219 |
|
|---|
| 220 | rep = [[self.sub00, self.sub01, self.sub02, self.sub03], \
|
|---|
| 221 | [self.sub10, self.sub11, self.sub12, self.sub13], \
|
|---|
| 222 | [self.sub20, self.sub21, self.sub22, self.sub23], \
|
|---|
| 223 | [self.sub30, self.sub31, self.sub32, self.sub33]]
|
|---|
| 224 |
|
|---|
| 225 | self.representation= HelasLib.LorentzObjectRepresentation( rep, \
|
|---|
| 226 | self.lorentz_ind, [], self.tag)
|
|---|
| 227 |
|
|---|
| 228 | #===============================================================================
|
|---|
| 229 | # Gamma
|
|---|
| 230 | #===============================================================================
|
|---|
| 231 | class Gamma(HelasLib.LorentzObject):
|
|---|
| 232 | """ Gamma Matrices """
|
|---|
| 233 |
|
|---|
| 234 | gamma0 = [[0, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 0], [0, 1, 0, 0]]
|
|---|
| 235 | gamma1 = [[0, 0, 0, 1], [0, 0, 1, 0], [0, -1, 0, 0], [-1, 0, 0, 0]]
|
|---|
| 236 | gamma2 = [[0, 0, 0, -complex(0,1)],[0, 0, complex(0,1), 0],
|
|---|
| 237 | [0, complex(0,1), 0, 0], [-complex(0,1), 0, 0, 0]]
|
|---|
| 238 | gamma3 = [[0, 0, 1, 0], [0, 0, 0, -1], [-1, 0, 0, 0], [0, 1, 0, 0]]
|
|---|
| 239 |
|
|---|
| 240 | gamma = [gamma0, gamma1, gamma2, gamma3]
|
|---|
| 241 |
|
|---|
| 242 |
|
|---|
| 243 | def __init__(self, lorentz, spin1, spin2, prefactor=1, constant=0):
|
|---|
| 244 | HelasLib.LorentzObject.__init__(self,[lorentz], [spin1, spin2], [])
|
|---|
| 245 |
|
|---|
| 246 | def create_representation(self):
|
|---|
| 247 |
|
|---|
| 248 | self.representation = HelasLib.LorentzObjectRepresentation(self.gamma,
|
|---|
| 249 | self.lorentz_ind,self.spin_ind,[])
|
|---|
| 250 |
|
|---|
| 251 | #===============================================================================
|
|---|
| 252 | # Sigma
|
|---|
| 253 | #===============================================================================
|
|---|
| 254 | class Sigma(HelasLib.LorentzObject):
|
|---|
| 255 | """ Gamma Matrices """
|
|---|
| 256 |
|
|---|
| 257 | zero = [[0,0,0,0]]*4
|
|---|
| 258 | i = complex(0,1)
|
|---|
| 259 | sigma01 = [[ 0, -i, 0, 0], [-i, 0, 0, 0], [0, 0, 0, i], [0, 0, i, 0]]
|
|---|
| 260 | sigma02 = [[ 0, -1, 0, 0], [1, 0, 0, 0], [0, 0, 0, 1], [0, 0, -1, 0]]
|
|---|
| 261 | sigma03 = [[-i, 0, 0, 0], [0, i, 0, 0], [0, 0, i, 0], [0, 0, 0, -i]]
|
|---|
| 262 | sigma12 = [[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, -1]]
|
|---|
| 263 | sigma13 = [[0, i, 0, 0], [-i, 0, 0, 0], [0, 0, 0, i], [0, 0, -i, 0]]
|
|---|
| 264 | sigma23 = [[0, 1, 0, 0], [1, 0, 0, 0], [0, 0, 0, 1], [0, 0, 1, 0]]
|
|---|
| 265 |
|
|---|
| 266 |
|
|---|
| 267 | def inv(matrice):
|
|---|
| 268 | out=[]
|
|---|
| 269 | for i in range(4):
|
|---|
| 270 | out2=[]
|
|---|
| 271 | out.append(out2)
|
|---|
| 272 | for j in range(4):
|
|---|
| 273 | out2.append(-1*matrice[i][j])
|
|---|
| 274 | return out
|
|---|
| 275 |
|
|---|
| 276 | sigma =[[zero, sigma01, sigma02, sigma03], \
|
|---|
| 277 | [inv(sigma01), zero, sigma12, sigma13],\
|
|---|
| 278 | [inv(sigma02), inv(sigma12), zero, sigma23],\
|
|---|
| 279 | [inv(sigma03), inv(sigma13), inv(sigma23), zero]]
|
|---|
| 280 |
|
|---|
| 281 | def __init__(self, lorentz1, lorentz2, spin1, spin2, prefactor=1, constant=0):
|
|---|
| 282 | if lorentz1 < lorentz2:
|
|---|
| 283 | HelasLib.LorentzObject.__init__(self,[lorentz1, lorentz2], \
|
|---|
| 284 | [spin1, spin2], [])
|
|---|
| 285 | else:
|
|---|
| 286 | HelasLib.LorentzObject.__init__(self,[lorentz2, lorentz1], [spin1, spin2], \
|
|---|
| 287 | [], prefactor=-1)
|
|---|
| 288 |
|
|---|
| 289 | def create_representation(self):
|
|---|
| 290 |
|
|---|
| 291 | self.representation = HelasLib.LorentzObjectRepresentation(self.sigma,
|
|---|
| 292 | self.lorentz_ind,self.spin_ind,[])
|
|---|
| 293 |
|
|---|
| 294 | #===============================================================================
|
|---|
| 295 | # Gamma5
|
|---|
| 296 | #===============================================================================
|
|---|
| 297 | class Gamma5(HelasLib.LorentzObject):
|
|---|
| 298 |
|
|---|
| 299 | gamma5 = [[-1, 0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]]
|
|---|
| 300 |
|
|---|
| 301 | def __init__(self, spin1, spin2, prefactor=1, constant=0):
|
|---|
| 302 | if spin1 < spin2:
|
|---|
| 303 | HelasLib.LorentzObject.__init__(self,[], [spin1, spin2], [])
|
|---|
| 304 | else:
|
|---|
| 305 | HelasLib.LorentzObject.__init__(self,[], [spin2, spin1], [])
|
|---|
| 306 |
|
|---|
| 307 | def create_representation(self):
|
|---|
| 308 |
|
|---|
| 309 | self.representation = HelasLib.LorentzObjectRepresentation(self.gamma5,
|
|---|
| 310 | self.lorentz_ind,self.spin_ind,[])
|
|---|
| 311 |
|
|---|
| 312 | #===============================================================================
|
|---|
| 313 | # Metric
|
|---|
| 314 | #===============================================================================
|
|---|
| 315 | class Metric(HelasLib.LorentzObject):
|
|---|
| 316 |
|
|---|
| 317 | metric = [[1, 0, 0,0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, -1]]
|
|---|
| 318 |
|
|---|
| 319 | def __init__(self, lorentz1, lorentz2, prefactor=1, constant=0):
|
|---|
| 320 | if lorentz1 < lorentz2:
|
|---|
| 321 | HelasLib.LorentzObject.__init__(self,[lorentz1, lorentz2], [], [])
|
|---|
| 322 | else:
|
|---|
| 323 | HelasLib.LorentzObject.__init__(self,[lorentz2, lorentz1], [], [])
|
|---|
| 324 | def create_representation(self):
|
|---|
| 325 |
|
|---|
| 326 | self.representation = HelasLib.LorentzObjectRepresentation(self.metric,
|
|---|
| 327 | self.lorentz_ind,self.spin_ind,[])
|
|---|
| 328 |
|
|---|
| 329 |
|
|---|
| 330 |
|
|---|
| 331 | #===============================================================================
|
|---|
| 332 | # Identity
|
|---|
| 333 | #===============================================================================
|
|---|
| 334 | class Identity(HelasLib.LorentzObject):
|
|---|
| 335 |
|
|---|
| 336 | identity = [[1, 0, 0,0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]]
|
|---|
| 337 |
|
|---|
| 338 | def __init__(self, spin1, spin2, prefactor=1, constant=0):
|
|---|
| 339 | if spin1 < spin2:
|
|---|
| 340 | HelasLib.LorentzObject.__init__(self,[],[spin1, spin2], [])
|
|---|
| 341 | else:
|
|---|
| 342 | HelasLib.LorentzObject.__init__(self,[],[spin2, spin1], [])
|
|---|
| 343 |
|
|---|
| 344 | def create_representation(self):
|
|---|
| 345 |
|
|---|
| 346 | self.representation = HelasLib.LorentzObjectRepresentation(self.identity,
|
|---|
| 347 | self.lorentz_ind,self.spin_ind,[])
|
|---|
| 348 | ##===============================================================================
|
|---|
| 349 | ## IdentityL (Commented since not use)
|
|---|
| 350 | ##===============================================================================
|
|---|
| 351 | #class IdentityL(HelasLib.LorentzObject):
|
|---|
| 352 | #
|
|---|
| 353 | # identity = [[1, 0, 0,0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]]
|
|---|
| 354 | #
|
|---|
| 355 | # def __init__(self, lorentz1, lorentz2, prefactor=1, constant=0):
|
|---|
| 356 | # if lorentz1 < lorentz2:
|
|---|
| 357 | # HelasLib.LorentzObject.__init__(self,[lorentz1, lorentz2], [], [])
|
|---|
| 358 | # else:
|
|---|
| 359 | # HelasLib.LorentzObject.__init__(self,[lorentz1, lorentz2], [], [])
|
|---|
| 360 | #
|
|---|
| 361 | # def create_representation(self):
|
|---|
| 362 | #
|
|---|
| 363 | # self.representation = HelasLib.LorentzObjectRepresentation(self.identity,
|
|---|
| 364 | # self.lorentz_ind,self.spin_ind,[])
|
|---|
| 365 | #
|
|---|
| 366 | #===============================================================================
|
|---|
| 367 | # ProjM
|
|---|
| 368 | #===============================================================================
|
|---|
| 369 | class ProjM(HelasLib.LorentzObject):
|
|---|
| 370 | """ A object for (1-gamma5)/2 """
|
|---|
| 371 |
|
|---|
| 372 | projm = [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]
|
|---|
| 373 |
|
|---|
| 374 | def __init__(self,spin1, spin2):
|
|---|
| 375 | """Initialize the object"""
|
|---|
| 376 | if spin1 < spin2:
|
|---|
| 377 | HelasLib.LorentzObject.__init__(self,[], [spin1, spin2], [])
|
|---|
| 378 | else:
|
|---|
| 379 | HelasLib.LorentzObject.__init__(self,[], [spin2, spin1], [])
|
|---|
| 380 |
|
|---|
| 381 |
|
|---|
| 382 | def create_representation(self):
|
|---|
| 383 |
|
|---|
| 384 | self.representation = HelasLib.LorentzObjectRepresentation(self.projm,
|
|---|
| 385 | self.lorentz_ind,self.spin_ind,[])
|
|---|
| 386 |
|
|---|
| 387 |
|
|---|
| 388 | #===============================================================================
|
|---|
| 389 | # ProjP
|
|---|
| 390 | #===============================================================================
|
|---|
| 391 | class ProjP(HelasLib.LorentzObject):
|
|---|
| 392 | """A object for (1+gamma5)/2 """
|
|---|
| 393 |
|
|---|
| 394 | projp = [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]]
|
|---|
| 395 |
|
|---|
| 396 | def __init__(self,spin1, spin2):
|
|---|
| 397 | """Initialize the object"""
|
|---|
| 398 | if spin1 < spin2:
|
|---|
| 399 | HelasLib.LorentzObject.__init__(self,[], [spin1, spin2], [])
|
|---|
| 400 | else:
|
|---|
| 401 | HelasLib.LorentzObject.__init__(self,[], [spin2, spin1], [])
|
|---|
| 402 |
|
|---|
| 403 |
|
|---|
| 404 | def create_representation(self):
|
|---|
| 405 |
|
|---|
| 406 | self.representation = HelasLib.LorentzObjectRepresentation(self.projp,
|
|---|
| 407 | self.lorentz_ind, self.spin_ind, [])
|
|---|
| 408 |
|
|---|
| 409 | #===============================================================================
|
|---|
| 410 | # Denominator Propagator
|
|---|
| 411 | #===============================================================================
|
|---|
| 412 | class DenominatorPropagator(HelasLib.LorentzObject):
|
|---|
| 413 | """The Denominator of the Propagator"""
|
|---|
| 414 |
|
|---|
| 415 | def __init__(self, particle):
|
|---|
| 416 | """Initialize the object"""
|
|---|
| 417 |
|
|---|
| 418 | self.particle = particle
|
|---|
| 419 | tag=['M%s' % particle,'W%s' % particle, 'P%s' % particle]
|
|---|
| 420 | HelasLib.LorentzObject.__init__(self, [], [], tag)
|
|---|
| 421 |
|
|---|
| 422 | def simplify(self):
|
|---|
| 423 | """Return the Denominator in a abstract way"""
|
|---|
| 424 |
|
|---|
| 425 | mass = Mass(self.particle)
|
|---|
| 426 | width = Width(self.particle)
|
|---|
| 427 | denominator = P('i1', self.particle) * P('i1', self.particle) - \
|
|---|
| 428 | mass * mass + complex(0,1) * mass* width
|
|---|
| 429 |
|
|---|
| 430 | return denominator
|
|---|
| 431 |
|
|---|
| 432 | def create_representation(self):
|
|---|
| 433 | """Create the representation for the Vector propagator"""
|
|---|
| 434 |
|
|---|
| 435 | object = self.simplify()
|
|---|
| 436 | self.representation = object.expand()
|
|---|
| 437 |
|
|---|
| 438 |
|
|---|
| 439 |
|
|---|
| 440 | #===============================================================================
|
|---|
| 441 | # Numerator Propagator
|
|---|
| 442 | #===============================================================================
|
|---|
| 443 |
|
|---|
| 444 |
|
|---|
| 445 | SpinorPropagator = lambda spin1, spin2, particle: complex(0,1) * (Gamma('mu', spin1, spin2) * \
|
|---|
| 446 | P('mu', particle) + Mass(particle) * Identity(spin1, spin2))
|
|---|
| 447 |
|
|---|
| 448 | VectorPropagator = lambda l1, l2, part: complex(0,1) * (-1 * Metric(l1, l2) + OverMass2(part) * \
|
|---|
| 449 | Metric(l1,'I3')* P('I3', part) * P(l2, part))
|
|---|
| 450 |
|
|---|
| 451 | Spin2masslessPropagator = lambda l1, l2, l3, l4: 1/2 *( Metric(l1, l2)* \
|
|---|
| 452 | Metric(l3, l4) + Metric(l1, l4) * Metric(l2, l3) - Metric(l1, l2) * Metric(l3, l4))
|
|---|
| 453 |
|
|---|
| 454 |
|
|---|
| 455 |
|
|---|
| 456 | Spin2Propagator = lambda l1, l2, l3, l4, part: Spin2masslessPropagator(l1, l2, l3, l4) + \
|
|---|
| 457 | -1/2 * OverMass2(part) * (Metric(l1,l2)* P(l3, part) * P(l4, part) + \
|
|---|
| 458 | Metric(l3, l4) * P(l1, part) * P(l2, part) + \
|
|---|
| 459 | Metric(l1, l4) * P(l2, part) * P(l3, part) + \
|
|---|
| 460 | Metric(l3, l2) * P(l1, part) * P(l4 , part) )+ \
|
|---|
| 461 | 1/6 * (Metric(l1,l3) + 2 * OverMass2(part) * P(l1, part) * P(l3, part)) * \
|
|---|
| 462 | (Metric(l2,l4) + 2 * OverMass2(part) * P(l2, part) * P(l4, part))
|
|---|
| 463 |
|
|---|
| 464 |
|
|---|
| 465 |
|
|---|
| 466 | if __name__ == '__main__':
|
|---|
| 467 |
|
|---|
| 468 | # Input as coming from FR!!!
|
|---|
| 469 | obj = 1/DenominatorPropagator(2)
|
|---|
| 470 | #Gamma(2,1,2)*Gamma(4,4,6)# * VectorPropagator(2,3,2) #/DenominatorPropagator(3)
|
|---|
| 471 | print type(obj)
|
|---|
| 472 | # Analysis
|
|---|
| 473 | obj = obj.simplify() # -> Simplify sum
|
|---|
| 474 | print obj
|
|---|
| 475 |
|
|---|
| 476 | # expand
|
|---|
| 477 |
|
|---|
| 478 |
|
|---|
| 479 | low_level = obj.expand()
|
|---|
| 480 | print type(low_level)
|
|---|
| 481 | low_level = low_level.simplify()
|
|---|
| 482 |
|
|---|
| 483 | print 'all is done'
|
|---|
| 484 | print low_level
|
|---|
| 485 |
|
|---|
| 486 | #writing the object in a file
|
|---|
| 487 | #low_level.create_output('Fortran','test.f')
|
|---|
| 488 |
|
|---|
| 489 |
|
|---|
| 490 |
|
|---|
| 491 |
|
|---|
| 492 |
|
|---|
| 493 |
|
|---|
| 494 |
|
|---|
| 495 |
|
|---|
| 496 |
|
|---|
| 497 |
|
|---|
| 498 |
|
|---|
| 499 |
|
|---|
| 500 |
|
|---|
| 501 |
|
|---|
| 502 |
|
|---|
| 503 |
|
|---|
| 504 |
|
|---|
| 505 |
|
|---|
| 506 |
|
|---|
| 507 |
|
|---|
| 508 |
|
|---|
| 509 |
|
|---|
| 510 |
|
|---|
| 511 |
|
|---|
