# This file was automatically created by FeynRules $Revision: 535 $ # Mathematica version: 7.0 for Mac OS X x86 (64-bit) (November 11, 2008) # Date: Fri 18 Mar 2011 18:40:51 from object_library import all_vertices, all_CTvertices, Vertex, CTVertex import particles as P import CT_couplings as C import lorentz as L ################ # R2 vertices # ################ # ========= # # Pure QCD # # ========= # # ggg R2 V_R23G = CTVertex(name = 'V_R23G', particles = [ P.G, P.G, P.G ], color = [ 'f(1,2,3)' ], lorentz = [ L.VVV1 ], loop_particles = [ [[P.u], [P.d], [P.c], [P.s], [P.b], [P.t]], [[P.G]] ], couplings = {(0,0,0):C.R2_3Gq, (0,0,1):C.R2_3Gg}, type = 'R2' ) #============================================================================================= # 4-gluon R2 vertex #============================================================================================= # The CT Vertex below is the one written by hand from the expression in the QCD R2 paper # This implementation seems to yield correct result for g g > g g g but not for g g > g g g g # or anytime one of the outter gluon of the vertex is offshell. # Keep in mind that Delta8(a,b) is 2 Tr(a,b) #V_R24G = CTVertex(name = 'V_R24G', # particles = [ P.G, P.G, P.G, P.G ], # color = [ 'Tr(1,2)*Tr(3,4)' , 'Tr(1,3)*Tr(2,4)' , 'Tr(1,4)*Tr(2,3)', \ # 'd(-1,1,2)*d(-1,3,4)' , 'd(-1,1,3)*d(-1,2,4)' , 'd(-1,1,4)*d(-1,2,3)'], # lorentz = [ L.R2_4G_1234, L.R2_4G_1324, L.R2_4G_1423 ], # loop_particles = [ [[P.G]], [[P.u],[P.d],[P.c],[P.s],[P.b],[P.t]] ], # couplings = {(0,0,0):C.GC_4GR2_Gluon_delta5,(0,1,0):C.GC_4GR2_Gluon_delta7,(0,2,0):C.GC_4GR2_Gluon_delta7, \ # (1,0,0):C.GC_4GR2_Gluon_delta7,(1,1,0):C.GC_4GR2_Gluon_delta5,(1,2,0):C.GC_4GR2_Gluon_delta7, \ # (2,0,0):C.GC_4GR2_Gluon_delta7,(2,1,0):C.GC_4GR2_Gluon_delta7,(2,2,0):C.GC_4GR2_Gluon_delta5, \ # (3,0,0):C.GC_4GR2_4Struct,(3,1,0):C.GC_4GR2_2Struct,(3,2,0):C.GC_4GR2_2Struct, \ # (4,0,0):C.GC_4GR2_2Struct,(4,1,0):C.GC_4GR2_4Struct,(4,2,0):C.GC_4GR2_2Struct, \ # (5,0,0):C.GC_4GR2_2Struct,(5,1,0):C.GC_4GR2_2Struct,(5,2,0):C.GC_4GR2_4Struct , \ # (0,0,1):C.GC_4GR2_Fermion_delta11,(0,1,1):C.GC_4GR2_Fermion_delta5,(0,2,1):C.GC_4GR2_Fermion_delta5, \ # (1,0,1):C.GC_4GR2_Fermion_delta5,(1,1,1):C.GC_4GR2_Fermion_delta11,(1,2,1):C.GC_4GR2_Fermion_delta5, \ # (2,0,1):C.GC_4GR2_Fermion_delta5,(2,1,1):C.GC_4GR2_Fermion_delta5,(2,2,1):C.GC_4GR2_Fermion_delta11, \ # (3,0,1):C.GC_4GR2_11Struct,(3,1,1):C.GC_4GR2_5Struct,(3,2,1):C.GC_4GR2_5Struct, \ # (4,0,1):C.GC_4GR2_5Struct,(4,1,1):C.GC_4GR2_11Struct,(4,2,1):C.GC_4GR2_5Struct, \ # (5,0,1):C.GC_4GR2_5Struct,(5,1,1):C.GC_4GR2_5Struct,(5,2,1):C.GC_4GR2_11Struct }, # type = 'R2') # The CT Vertex below is the one written automatically by FR # Gives the same result as above for g g > g g but not as soon as one of the outter gluon is offshell. V_R2RGA = CTVertex(name = 'V_R2RGA', type = 'R2', particles = [ P.G, P.G, P.G, P.G ], color = [ 'd(-1,1,3)*d(-1,2,4)', 'd(-1,1,3)*f(-1,2,4)', 'd(-1,1,4)*d(-1,2,3)', 'd(-1,1,4)*f(-1,2,3)', 'd(-1,2,3)*f(-1,1,4)', 'd(-1,2,4)*f(-1,1,3)', 'f(-1,1,2)*f(-1,3,4)', 'f(-1,1,3)*f(-1,2,4)', 'f(-1,1,4)*f(-1,2,3)', 'Identity(1,2)*Identity(3,4)', 'Identity(1,3)*Identity(2,4)', 'Identity(1,4)*Identity(2,3)' ], lorentz = [ L.R2RGA_VVVV10, L.R2RGA_VVVV2, L.R2RGA_VVVV3, L.R2RGA_VVVV5 ], loop_particles = [ [ [P.b], [P.c], [P.d], [P.s], [P.t], [P.u] ], [ [P.G] ] ], couplings = {(2,1,0):C.R2GC_137_43,(2,1,1):C.R2GC_137_44,(0,1,0):C.R2GC_137_43,(0,1,1):C.R2GC_137_44,(4,1,0):C.R2GC_145_58,(4,1,1):C.R2GC_145_59,(3,1,0):C.R2GC_145_58,(3,1,1):C.R2GC_145_59,(8,1,0):C.R2GC_138_45,(8,1,1):C.R2GC_138_46,(7,1,0):C.R2GC_144_56,(7,1,1):C.R2GC_144_57,(6,1,0):C.R2GC_141_50,(6,1,1):C.R2GC_141_51,(5,1,0):C.R2GC_145_58,(5,1,1):C.R2GC_145_59,(1,1,0):C.R2GC_145_58,(1,1,1):C.R2GC_145_59,(11,0,0):C.R2GC_140_48,(11,0,1):C.R2GC_140_49,(10,0,0):C.R2GC_140_48,(10,0,1):C.R2GC_140_49,(9,0,1):C.R2GC_139_47,(2,2,0):C.R2GC_137_43,(2,2,1):C.R2GC_137_44,(0,2,0):C.R2GC_137_43,(0,2,1):C.R2GC_137_44,(6,2,0):C.R2GC_142_52,(6,2,1):C.R2GC_142_53,(4,2,0):C.R2GC_145_58,(4,2,1):C.R2GC_145_59,(3,2,0):C.R2GC_145_58,(3,2,1):C.R2GC_145_59,(8,2,0):C.R2GC_144_56,(8,2,1):C.R2GC_144_57,(5,2,0):C.R2GC_145_58,(5,2,1):C.R2GC_145_59,(1,2,0):C.R2GC_145_58,(1,2,1):C.R2GC_145_59,(7,2,0):C.R2GC_138_45,(7,2,1):C.R2GC_138_46,(2,3,0):C.R2GC_137_43,(2,3,1):C.R2GC_137_44,(0,3,0):C.R2GC_137_43,(0,3,1):C.R2GC_137_44,(4,3,0):C.R2GC_145_58,(4,3,1):C.R2GC_145_59,(3,3,0):C.R2GC_145_58,(3,3,1):C.R2GC_145_59,(8,3,0):C.R2GC_143_54,(8,3,1):C.R2GC_143_55,(7,3,0):C.R2GC_143_54,(7,3,1):C.R2GC_143_55,(5,3,0):C.R2GC_145_58,(5,3,1):C.R2GC_145_59,(1,3,0):C.R2GC_145_58,(1,3,1):C.R2GC_145_59}) #============================================================================================= # gdd~ V_R2GDD = CTVertex(name = 'V_R2GDD', particles = [ P.d__tilde__, P.d, P.G ], color = [ 'T(3,2,1)' ], lorentz = [ L.FFV1 ], loop_particles =[[[P.d,P.G]]], couplings = {(0,0,0):C.R2_GQQ}, type = 'R2') # guu~ V_R2GUU = CTVertex(name = 'V_R2GUU', particles = [ P.u__tilde__, P.u, P.G ], color = [ 'T(3,2,1)' ], lorentz = [ L.FFV1 ], loop_particles =[[[P.u,P.G]]], couplings = {(0,0,0):C.R2_GQQ}, type = 'R2') # gss~ V_R2GSS = CTVertex(name = 'V_R2GSS', particles = [ P.s__tilde__, P.s, P.G ], color = [ 'T(3,2,1)' ], lorentz = [ L.FFV1 ], loop_particles =[[[P.s,P.G]]], couplings = {(0,0,0):C.R2_GQQ}, type = 'R2') # gcc~ V_R2GCC = CTVertex(name = 'V_R2GCC', particles = [ P.c__tilde__, P.c, P.G ], color = [ 'T(3,2,1)' ], lorentz = [ L.FFV1 ], loop_particles =[[[P.c,P.G]]], couplings = {(0,0,0):C.R2_GQQ}, type = 'R2') # gbb~ V_R2GBB = CTVertex(name = 'V_R2GBB', particles = [ P.b__tilde__, P.b, P.G ], color = [ 'T(3,2,1)' ], lorentz = [ L.FFV1 ], loop_particles =[[[P.b,P.G]]], couplings = {(0,0,0):C.R2_GQQ}, type = 'R2') # gtt~ V_R2GTT = CTVertex(name = 'V_R2GTT', particles = [ P.t__tilde__, P.t, P.G ], color = [ 'T(3,2,1)' ], lorentz = [ L.FFV1 ], loop_particles =[[[P.t,P.G]]], couplings = {(0,0,0):C.R2_GQQ}, type = 'R2') # gg V_R2GG = CTVertex(name = 'V_R2GG', particles = [ P.G, P.G ], color = [ 'Tr(1,2)' ], lorentz = [ L.R2_GG_1, L.R2_GG_2, L.R2_GG_3], loop_particles = [ [[P.u],[P.d],[P.s]], [[P.c]], [[P.b]], [[P.t]], [[P.G]] ], couplings = {(0,0,0):C.R2_GGq, (0,0,1):C.R2_GGq,(0,2,1):C.R2_GGc, (0,0,2):C.R2_GGq,(0,2,2):C.R2_GGb, (0,0,3):C.R2_GGq,(0,2,3):C.R2_GGt, (0,0,4):C.R2_GGg_1, (0,1,4):C.R2_GGg_2}, type = 'R2') # d~d V_R2DD = CTVertex(name = 'V_R2DD', particles = [ P.d__tilde__, P.d ], color = [ 'Identity(1,2)' ], lorentz = [ L.R2_QQ_1 ], loop_particles = [[[P.d,P.G]]], couplings = {(0,0,0):C.R2_QQq}, type = 'R2') # u~u V_R2UU = CTVertex(name = 'V_R2UU', particles = [ P.u__tilde__, P.u ], color = [ 'Identity(1,2)' ], lorentz = [ L.R2_QQ_1 ], loop_particles = [[[P.u,P.G]]], couplings = {(0,0,0):C.R2_QQq}, type = 'R2') # s~s V_R2SS = CTVertex(name = 'V_R2SS', particles = [ P.s__tilde__, P.s ], color = [ 'Identity(1,2)' ], lorentz = [ L.R2_QQ_1 ], loop_particles = [[[P.s,P.G]]], couplings = {(0,0,0):C.R2_QQq}, type = 'R2') # c~c V_R2CC = CTVertex(name = 'V_R2CC', particles = [ P.c__tilde__, P.c ], color = [ 'Identity(1,2)' ], lorentz = [ L.R2_QQ_1, L.R2_QQ_2 ], loop_particles = [[[P.c,P.G]]], couplings = {(0,0,0):C.R2_QQq,(0,1,0):C.R2_QQc}, type = 'R2') # b~b V_R2BB = CTVertex(name = 'V_R2BB', particles = [ P.b__tilde__, P.b ], color = [ 'Identity(1,2)' ], lorentz = [ L.R2_QQ_1, L.R2_QQ_2 ], loop_particles = [[[P.b,P.G]]], couplings = {(0,0,0):C.R2_QQq,(0,1,0):C.R2_QQb}, type = 'R2') # t~t V_R2TT = CTVertex(name = 'V_R2TT', particles = [ P.t__tilde__, P.t ], color = [ 'Identity(1,2)' ], lorentz = [ L.R2_QQ_1, L.R2_QQ_2 ], loop_particles = [[[P.t,P.G]]], couplings = {(0,0,0):C.R2_QQq,(0,1,0):C.R2_QQt}, type = 'R2') # ============== # # Mixed QCD-QED # # ============== # # R2 for the A and Z couplings to the quarks V_R2ddA = CTVertex(name = 'V_R2ddA', particles = [ P.d__tilde__, P.d, P.A ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV1 ], loop_particles = [[[P.d,P.G]]], couplings = {(0,0,0):C.R2_DDA}, type = 'R2') V_R2ssA = CTVertex(name = 'V_R2ssA', particles = [ P.s__tilde__, P.s, P.A ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV1 ], loop_particles = [[[P.s,P.G]]], couplings = {(0,0,0):C.R2_DDA}, type = 'R2') V_R2bbA = CTVertex(name = 'V_R2bbA', particles = [ P.b__tilde__, P.b, P.A ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV1 ], loop_particles = [[[P.b,P.G]]], couplings = {(0,0,0):C.R2_DDA}, type = 'R2') V_R2uuA = CTVertex(name = 'V_R2uuA', particles = [ P.u__tilde__, P.u, P.A ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV1 ], loop_particles = [[[P.u,P.G]]], couplings = {(0,0,0):C.R2_UUA}, type = 'R2') V_R2ccA = CTVertex(name = 'V_R2ccA', particles = [ P.c__tilde__, P.c, P.A ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV1 ], loop_particles = [[[P.c,P.G]]], couplings = {(0,0,0):C.R2_UUA}, type = 'R2') V_R2ttA = CTVertex(name = 'V_R2ttA', particles = [ P.t__tilde__, P.t, P.A ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV1 ], loop_particles = [[[P.t,P.G]]], couplings = {(0,0,0):C.R2_UUA}, type = 'R2') V_R2ddZ = CTVertex(name = 'V_R2ddZ', particles = [ P.d__tilde__, P.d, P.Z ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2, L.FFV3 ], loop_particles = [[[P.d,P.G]]], couplings = {(0,0,0):C.R2_DDZ_V2,(0,1,0):C.R2_DDZ_V3}, type = 'R2') V_R2ssZ = CTVertex(name = 'V_R2ssZ', particles = [ P.s__tilde__, P.s, P.Z ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2, L.FFV3 ], loop_particles = [[[P.s,P.G]]], couplings = {(0,0,0):C.R2_DDZ_V2,(0,1,0):C.R2_DDZ_V3}, type = 'R2') V_R2bbZ = CTVertex(name = 'V_R2bbZ', particles = [ P.b__tilde__, P.b, P.Z ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2, L.FFV3 ], loop_particles = [[[P.b,P.G]]], couplings = {(0,0,0):C.R2_DDZ_V2,(0,1,0):C.R2_DDZ_V3}, type = 'R2') V_R2uuZ = CTVertex(name = 'V_R2uuZ', particles = [ P.u__tilde__, P.u, P.Z ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2, L.FFV5 ], loop_particles = [[[P.u,P.G]]], couplings = {(0,0,0):C.R2_UUZ_V2,(0,1,0):C.R2_UUZ_V5}, type = 'R2') V_R2ccZ = CTVertex(name = 'V_R2ccZ', particles = [ P.c__tilde__, P.c, P.Z ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2, L.FFV5 ], loop_particles = [[[P.c,P.G]]], couplings = {(0,0,0):C.R2_UUZ_V2,(0,1,0):C.R2_UUZ_V5}, type = 'R2') V_R2ttZ = CTVertex(name = 'V_R2ttZ', particles = [ P.t__tilde__, P.t, P.Z ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2, L.FFV5 ], loop_particles = [[[P.t,P.G]]], couplings = {(0,0,0):C.R2_UUZ_V2,(0,1,0):C.R2_UUZ_V5}, type = 'R2') # R2 for the W couplings to the quarks with most general CKM V_R2dxuW = CTVertex(name = 'V_R2dxuW', particles = [ P.d__tilde__, P.u, P.W__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.d,P.u,P.G]]], couplings = {(0,0,0):C.R2_dxuW}, type = 'R2') V_R2dxcW = CTVertex(name = 'V_R2dxcW', particles = [ P.d__tilde__, P.c, P.W__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.d,P.c,P.G]]], couplings = {(0,0,0):C.R2_dxcW}, type = 'R2') V_R2dxtW = CTVertex(name = 'V_R2dxtW', particles = [ P.d__tilde__, P.t, P.W__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.d,P.t,P.G]]], couplings = {(0,0,0):C.R2_dxtW}, type = 'R2') V_R2sxuW = CTVertex(name = 'V_R2sxuW', particles = [ P.s__tilde__, P.u, P.W__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.s,P.u,P.G]]], couplings = {(0,0,0):C.R2_sxuW}, type = 'R2') V_R2sxcW = CTVertex(name = 'V_R2sxcW', particles = [ P.s__tilde__, P.c, P.W__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.s,P.c,P.G]]], couplings = {(0,0,0):C.R2_sxcW}, type = 'R2') V_R2sxtW = CTVertex(name = 'V_R2sxtW', particles = [ P.s__tilde__, P.t, P.W__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.s,P.t,P.G]]], couplings = {(0,0,0):C.R2_sxtW}, type = 'R2') V_R2bxuW = CTVertex(name = 'V_R2bxuW', particles = [ P.b__tilde__, P.u, P.W__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.b,P.u,P.G]]], couplings = {(0,0,0):C.R2_bxuW}, type = 'R2') V_R2bxcW = CTVertex(name = 'V_R2bxcW', particles = [ P.b__tilde__, P.c, P.W__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.b,P.c,P.G]]], couplings = {(0,0,0):C.R2_bxcW}, type = 'R2') V_R2bxtW = CTVertex(name = 'V_R2bxtW', particles = [ P.b__tilde__, P.t, P.W__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.b,P.t,P.G]]], couplings = {(0,0,0):C.R2_bxtW}, type = 'R2') V_R2uxdW = CTVertex(name = 'V_R2uxdW', particles = [ P.u__tilde__, P.d, P.W__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.u,P.d,P.G]]], couplings = {(0,0,0):C.R2_uxdW}, type = 'R2') V_R2cxdW = CTVertex(name = 'V_R2cxdW', particles = [ P.c__tilde__, P.d, P.W__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.c,P.d,P.G]]], couplings = {(0,0,0):C.R2_cxdW}, type = 'R2') V_R2txdW = CTVertex(name = 'V_R2txdW', particles = [ P.t__tilde__, P.d, P.W__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.t,P.d,P.G]]], couplings = {(0,0,0):C.R2_txdW}, type = 'R2') V_R2uxsW = CTVertex(name = 'V_R2uxsW', particles = [ P.u__tilde__, P.s, P.W__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.u,P.s,P.G]]], couplings = {(0,0,0):C.R2_uxsW}, type = 'R2') V_R2cxsW = CTVertex(name = 'V_R2cxsW', particles = [ P.c__tilde__, P.s, P.W__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.c,P.s,P.G]]], couplings = {(0,0,0):C.R2_cxsW}, type = 'R2') V_R2txsW = CTVertex(name = 'V_R2txsW', particles = [ P.t__tilde__, P.s, P.W__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.t,P.s,P.G]]], couplings = {(0,0,0):C.R2_txsW}, type = 'R2') V_R2uxbW = CTVertex(name = 'V_R2uxbW', particles = [ P.u__tilde__, P.b, P.W__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.u,P.b,P.G]]], couplings = {(0,0,0):C.R2_uxbW}, type = 'R2') V_R2cxbW = CTVertex(name = 'V_R2cxbW', particles = [ P.c__tilde__, P.b, P.W__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.c,P.b,P.G]]], couplings = {(0,0,0):C.R2_cxbW}, type = 'R2') V_R2txbW = CTVertex(name = 'V_R2txbW', particles = [ P.t__tilde__, P.b, P.W__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFV2 ], loop_particles = [[[P.t,P.b,P.G]]], couplings = {(0,0,0):C.R2_txbW}, type = 'R2') # R2 for the Higgs couplings to massive quarks V_bbH = CTVertex(name = 'V_bbH', particles = [ P.b__tilde__, P.b, P.H ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS1 ], loop_particles = [[[P.b,P.G]]], couplings = {(0,0,0):C.R2_bbH}, type = 'R2') V_ttH = CTVertex(name = 'V_ttH', particles = [ P.t__tilde__, P.t, P.H ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS1 ], loop_particles = [[[P.t,P.G]]], couplings = {(0,0,0):C.R2_ttH}, type = 'R2') V_ccH = CTVertex(name = 'V_ccH', particles = [ P.c__tilde__, P.c, P.H ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS1 ], loop_particles = [[[P.c,P.G]]], couplings = {(0,0,0):C.R2_ccH}, type = 'R2') # R2 interactions non proportional to the SM # R2 for the Higgs interactions V_GGH = CTVertex(name = 'V_GGH', particles = [ P.G, P.G, P.H ], color = [ 'Tr(1,2)' ], lorentz = [ L.VVS1 ], loop_particles = [[[P.c]],[[P.b]],[[P.t]]], couplings = {(0,0,0):C.R2_GGHc,(0,0,1):C.R2_GGHb,(0,0,2):C.R2_GGHt}, type = 'R2') V_GGHH = CTVertex(name = 'V_GGHH', particles = [ P.G, P.G, P.H, P.H ], color = [ 'Tr(1,2)' ], lorentz = [ L.R2_GGHH ], loop_particles = [[[P.c]],[[P.b]],[[P.t]]], couplings = {(0,0,0):C.R2_GGHHc,(0,0,1):C.R2_GGHHb,(0,0,2):C.R2_GGHHt}, type = 'R2') # R2 for the weak vector bosons interaction with gluons V_GGZ = CTVertex(name = 'V_GGZ', particles = [ P.G, P.G, P.Z ], color = [ 'Tr(1,2)' ], lorentz = [ L.R2_GGZ ], loop_particles = [[[P.u],[P.c],[P.t]],[[P.d],[P.s],[P.b]]], couplings = {(0,0,0):C.R2_GGZup,(0,0,1):C.R2_GGZdown}, type = 'R2') V_GGZZ = CTVertex(name = 'V_GGZZ', particles = [ P.G, P.G, P.Z, P.Z ], color = [ 'Tr(1,2)' ], lorentz = [ L.R2_GGVV ], loop_particles = [[[P.u],[P.c],[P.t]],[[P.d],[P.s],[P.b]]], couplings = {(0,0,0):C.R2_GGZZup,(0,0,1):C.R2_GGZZdown}, type = 'R2') V_GGAA = CTVertex(name = 'V_GGAA', particles = [ P.G, P.G, P.A, P.A ], color = [ 'Tr(1,2)' ], lorentz = [ L.R2_GGVV ], loop_particles = [[[P.u],[P.c],[P.t]],[[P.d],[P.s],[P.b]]], couplings = {(0,0,0):C.R2_GGAAup,(0,0,1):C.R2_GGAAdown}, type = 'R2') V_GGZA = CTVertex(name = 'V_GGZA', particles = [ P.G, P.G, P.Z, P.A ], color = [ 'Tr(1,2)' ], lorentz = [ L.R2_GGVV ], loop_particles = [[[P.u],[P.c],[P.t]],[[P.d],[P.s],[P.b]]], couplings = {(0,0,0):C.R2_GGZAup,(0,0,1):C.R2_GGZAdown}, type = 'R2') V_GGWW = CTVertex(name = 'V_GGWW', particles = [ P.G, P.G, P.W__minus__, P.W__plus__ ], color = [ 'Tr(1,2)' ], lorentz = [ L.R2_GGVV ], loop_particles = [[[P.u,P.d]],[[P.u,P.s]],[[P.u,P.b]], [[P.c,P.d]],[[P.c,P.s]],[[P.c,P.b]], [[P.t,P.d]],[[P.t,P.s]],[[P.t,P.b]]], couplings = {(0,0,0):C.R2_GGWWud,(0,0,1):C.R2_GGWWus,(0,0,2):C.R2_GGWWub, (0,0,3):C.R2_GGWWcd,(0,0,4):C.R2_GGWWcs,(0,0,5):C.R2_GGWWcb, (0,0,6):C.R2_GGWWtd,(0,0,7):C.R2_GGWWts,(0,0,8):C.R2_GGWWtb}, type = 'R2') V_GGGZ = CTVertex(name = 'V_GGGZ', particles = [ P.G, P.G, P.G, P.Z ], color = [ 'd(1,2,3)' , 'f(1,2,3)'], lorentz = [ L.R2_GGVV, L.R2_GGGVa ], loop_particles = [[[P.u],[P.c],[P.t]],[[P.d],[P.s],[P.b]]], couplings = {(0,0,0):C.R2_GGGZvecUp,(0,0,1):C.R2_GGGZvecDown, (1,1,0):C.R2_GGGZaxialUp,(1,1,1):C.R2_GGGZaxialDown}, type = 'R2') V_GGGA = CTVertex(name = 'V_GGGA', particles = [ P.G, P.G, P.G, P.A ], color = [ 'd(1,2,3)'], lorentz = [ L.R2_GGVV ], loop_particles = [[[P.u],[P.c],[P.t]],[[P.d],[P.s],[P.b]]], couplings = {(0,0,0):C.R2_GGGAvecUp,(0,0,1):C.R2_GGGAvecDown}, type = 'R2') ################ # UV vertices # ################ # ========= # # Pure QCD # # ========= # # There are the alpha_s renormalization vertices # ggg V_UV1eps3G = CTVertex(name = 'V_UV1eps3G', particles = [ P.G, P.G, P.G ], color = [ 'f(1,2,3)' ], lorentz = [ L.VVV1 ], loop_particles = [[[P.u],[P.d],[P.s]],[[P.c]],[[P.b]],[[P.t]],[[P.G]]], couplings = {(0,0,0):C.UV_3Gq,(0,0,1):C.UV_3Gc,(0,0,2):C.UV_3Gb,(0,0,3):C.UV_3Gt,(0,0,4):C.UV_3Gg}, type = 'UV') # gggg V_UV4G = CTVertex(name = 'V_UV1eps4G', particles = [ P.G, P.G, P.G, P.G ], color = [ 'f(-1,1,2)*f(3,4,-1)', 'f(-1,1,3)*f(2,4,-1)', 'f(-1,1,4)*f(2,3,-1)' ], lorentz = [ L.VVVV1, L.VVVV3, L.VVVV4 ], loop_particles = [[[P.u],[P.d],[P.s]],[[P.c]],[[P.b]],[[P.t]],[[P.G]]], couplings = {(0,0,0):C.UV_4Gq,(0,0,1):C.UV_4Gc,(0,0,2):C.UV_4Gb,(0,0,3):C.UV_4Gt,(0,0,4):C.UV_4Gg, (1,1,0):C.UV_4Gq,(1,1,1):C.UV_4Gc,(1,1,2):C.UV_4Gb,(1,1,3):C.UV_4Gt,(1,1,4):C.UV_4Gg, (2,2,0):C.UV_4Gq,(2,2,1):C.UV_4Gc,(2,2,2):C.UV_4Gb,(2,2,3):C.UV_4Gt,(2,2,4):C.UV_4Gg}, type = 'UV') # gdd~ V_UVGDD = CTVertex(name = 'V_UVGDD', particles = [ P.d__tilde__, P.d, P.G ], color = [ 'T(3,2,1)' ], lorentz = [ L.FFV1 ], loop_particles = [[[P.u],[P.d],[P.s]],[[P.c]],[[P.b]],[[P.t]],[[P.G]]], couplings = {(0,0,0):C.UV_GQQq,(0,0,1):C.UV_GQQc,(0,0,2):C.UV_GQQb,(0,0,3):C.UV_GQQt,(0,0,4):C.UV_GQQg}, type = 'UV') # guu~ V_UVGUU = CTVertex(name = 'V_UVGUU', particles = [ P.u__tilde__, P.u, P.G ], color = [ 'T(3,2,1)' ], lorentz = [ L.FFV1 ], loop_particles = [[[P.u],[P.d],[P.s]],[[P.c]],[[P.b]],[[P.t]],[[P.G]]], couplings = {(0,0,0):C.UV_GQQq,(0,0,1):C.UV_GQQc,(0,0,2):C.UV_GQQb,(0,0,3):C.UV_GQQt,(0,0,4):C.UV_GQQg}, type = 'UV') # gcc~ V_UVGCC = CTVertex(name = 'V_UVGCC', particles = [ P.c__tilde__, P.c, P.G ], color = [ 'T(3,2,1)' ], lorentz = [ L.FFV1 ], loop_particles = [[[P.u],[P.d],[P.s]],[[P.c]],[[P.b]],[[P.t]],[[P.G]]], couplings = {(0,0,0):C.UV_GQQq,(0,0,1):C.UV_GQQc,(0,0,2):C.UV_GQQb,(0,0,3):C.UV_GQQt,(0,0,4):C.UV_GQQg}, type = 'UV') # gss~ V_UVGSS = CTVertex(name = 'V_UVGSS', particles = [ P.s__tilde__, P.s, P.G ], color = [ 'T(3,2,1)' ], lorentz = [ L.FFV1 ], loop_particles = [[[P.u],[P.d],[P.s]],[[P.c]],[[P.b]],[[P.t]],[[P.G]]], couplings = {(0,0,0):C.UV_GQQq,(0,0,1):C.UV_GQQc,(0,0,2):C.UV_GQQb,(0,0,3):C.UV_GQQt,(0,0,4):C.UV_GQQg}, type = 'UV') # gbb~ V_UVGBB = CTVertex(name = 'V_UVGBB', particles = [ P.b__tilde__, P.b, P.G ], color = [ 'T(3,2,1)' ], lorentz = [ L.FFV1 ], loop_particles = [[[P.u],[P.d],[P.s]],[[P.c]],[[P.b]],[[P.t]],[[P.G]]], couplings = {(0,0,0):C.UV_GQQq,(0,0,1):C.UV_GQQc,(0,0,2):C.UV_GQQb,(0,0,3):C.UV_GQQt,(0,0,4):C.UV_GQQg}, type = 'UV') # gtt~ V_UVGTT = CTVertex(name = 'V_UVGTT', particles = [ P.t__tilde__, P.t, P.G ], color = [ 'T(3,2,1)' ], lorentz = [ L.FFV1 ], loop_particles = [[[P.u],[P.d],[P.s]],[[P.c]],[[P.b]],[[P.t]],[[P.G]]], couplings = {(0,0,0):C.UV_GQQq,(0,0,1):C.UV_GQQc,(0,0,2):C.UV_GQQb,(0,0,3):C.UV_GQQt,(0,0,4):C.UV_GQQg}, type = 'UV') # These are the mass renormalization vertices. # c~c V_UVcMass = CTVertex(name = 'V_UVcMass', particles = [ P.c__tilde__, P.c ], color = [ 'Identity(1,2)' ], lorentz = [ L.R2_QQ_2 ], loop_particles = [[[P.G,P.c]]], couplings = {(0,0,0):C.UV_cMass}, type = 'UVmass') # b~b V_UVbMass = CTVertex(name = 'V_UVbMass', particles = [ P.b__tilde__, P.b ], color = [ 'Identity(1,2)' ], lorentz = [ L.R2_QQ_2 ], loop_particles = [[[P.G,P.b]]], couplings = {(0,0,0):C.UV_bMass}, type = 'UVmass') # t~t V_UVtMass = CTVertex(name = 'V_UVtMass', particles = [ P.t__tilde__, P.t ], color = [ 'Identity(1,2)' ], lorentz = [ L.R2_QQ_2 ], loop_particles = [[[P.G,P.t]]], couplings = {(0,0,0):C.UV_tMass}, type = 'UVmass') # ============== # # Mixed QCD-QED # # ============== # V_UVHcc = CTVertex(name = 'V_UVHcc', particles = [ P.c__tilde__, P.c, P.H ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS1 ], loop_particles = [[[P.G,P.c]]], couplings = {(0,0,0):C.UV_Hcc}, type = 'UV') V_UVHtt = CTVertex(name = 'V_UVHtt', particles = [ P.t__tilde__, P.t, P.H ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS1 ], loop_particles = [[[P.G,P.t]]], couplings = {(0,0,0):C.UV_Htt}, type = 'UV') V_UVHbb = CTVertex(name = 'V_UVHbb', particles = [ P.b__tilde__, P.b, P.H ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS1 ], loop_particles = [[[P.G,P.b]]], couplings = {(0,0,0):C.UV_Hbb}, type = 'UV') # ============================== # # Goldstone R2 counter vertices # # ============================== # V_R2_GGGpGm = CTVertex(name = 'V_R2_GGGpGm', particles = [ P.G, P.G, P.G__plus__, P.G__minus__], color = [ 'Identity(1,2)' ], lorentz = [ L.VVSS1 ], loop_particles = [[[P.u,P.b]], [[P.c,P.d]],[[P.c,P.s]],[[P.c,P.b]], [[P.t,P.d]],[[P.t,P.s]],[[P.t,P.b]]], couplings = {(0,0,0):C.R2_GGGpGm_ub, (0,0,1):C.R2_GGGpGm_cd,(0,0,2):C.R2_GGGpGm_cs,(0,0,3):C.R2_GGGpGm_cb, (0,0,4):C.R2_GGGpGm_td,(0,0,5):C.R2_GGGpGm_ts,(0,0,6):C.R2_GGGpGm_tb}, type = 'R2') V_R2_GGG0G0 = CTVertex(name = 'V_R2_GGG0G0', particles = [ P.G, P.G, P.G0, P.G0 ], color = [ 'Identity(1,2)' ], lorentz = [ L.VVSS1 ], loop_particles = [[[P.c]],[[P.b]],[[P.t]]], couplings = {(0,0,0):C.R2_GGG0G0_c,(0,0,1):C.R2_GGG0G0_b,(0,0,2):C.R2_GGG0G0_t}, type = 'R2') V_R2_txbGp = CTVertex(name = 'V_R2_txbGp', particles = [ P.t__tilde__, P.b, P.G__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8, L.FFS3 ], loop_particles = [[[P.G,P.b,P.t]]], couplings = {(0,0,0):C.GC_R2_1015,(0,1,0):C.GC_R2_1021}, type = 'R2') V_R2_bxtGp = CTVertex(name = 'V_R2_bxtGp', particles = [ P.b__tilde__, P.t, P.G__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8, L.FFS3 ], loop_particles = [[[P.G,P.b,P.t]]], couplings = {(0,0,0):C.GC_R2_1027,(0,1,0):C.GC_R2_1030}, type = 'R2') V_R2_1077 = CTVertex(name = 'V_R2_1077', particles = [ P.b__tilde__, P.b, P.G0 ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS2 ], loop_particles = [[[P.G,P.b]]], couplings = {(0,0,0):C.GC_R2_1082}, type = 'R2') V_R2_1138 = CTVertex(name = 'V_R2_1138', particles = [ P.c__tilde__, P.c, P.G0 ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS2 ], loop_particles = [[[P.G,P.c]]], couplings = {(0,0,0):C.GC_R2_1085}, type = 'R2') V_R2_1139 = CTVertex(name = 'V_R2_1139', particles = [ P.t__tilde__, P.t, P.G0 ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS2 ], loop_particles = [[[P.G,P.t]]], couplings = {(0,0,0):C.GC_R2_1095}, type = 'R2') V_R2_1084 = CTVertex(name = 'V_R2_1084', particles = [ P.c__tilde__, P.s, P.G__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS3 ], loop_particles = [[[P.G,P.c,P.s]]], couplings = {(0,0,0):C.GC_R2_1018}, type = 'R2') V_R2_1085 = CTVertex(name = 'V_R2_1085', particles = [ P.t__tilde__, P.s, P.G__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS3 ], loop_particles = [[[P.G,P.t,P.s]]], couplings = {(0,0,0):C.GC_R2_1019}, type = 'R2') V_R2_1086 = CTVertex(name = 'V_R2_1086', particles = [ P.u__tilde__, P.b, P.G__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8 ], loop_particles = [[[P.G,P.u,P.b]]], couplings = {(0,0,0):C.GC_R2_1013}, type = 'R2') V_R2_1087 = CTVertex(name = 'V_R2_1087', particles = [ P.c__tilde__, P.b, P.G__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8, L.FFS3 ], loop_particles = [[[P.G,P.c,P.b]]], couplings = {(0,0,0):C.GC_R2_1014,(0,1,0):C.GC_R2_1020}, type = 'R2') V_R2_1116 = CTVertex(name = 'V_R2_1116', particles = [ P.b__tilde__, P.u, P.G__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS3 ], loop_particles = [[[P.G,P.b,P.u]]], couplings = {(0,0,0):C.GC_R2_1028}, type = 'R2') V_R2_1117 = CTVertex(name = 'V_R2_1117', particles = [ P.d__tilde__, P.c, P.G__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8 ], loop_particles = [[[P.G,P.d,P.c]]], couplings = {(0,0,0):C.GC_R2_1022}, type = 'R2') V_R2_1118 = CTVertex(name = 'V_R2_1118', particles = [ P.s__tilde__, P.c, P.G__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8 ], loop_particles = [[[P.G,P.c,P.s]]], couplings = {(0,0,0):C.GC_R2_1023}, type = 'R2') V_R2_1119 = CTVertex(name = 'V_R2_1119', particles = [ P.b__tilde__, P.c, P.G__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8, L.FFS3 ], loop_particles = [[[P.G,P.c,P.b]]], couplings = {(0,0,0):C.GC_R2_1024,(0,1,0):C.GC_R2_1029}, type = 'R2') V_R2_1120 = CTVertex(name = 'V_R2_1120', particles = [ P.d__tilde__, P.t, P.G__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8 ], loop_particles = [[[P.G,P.d,P.t]]], couplings = {(0,0,0):C.GC_R2_1025}, type = 'R2') V_R2_1121 = CTVertex(name = 'V_R2_1121', particles = [ P.s__tilde__, P.t, P.G__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8 ], loop_particles = [[[P.G,P.t,P.s]]], couplings = {(0,0,0):C.GC_R2_1026}, type = 'R2') # ============================== # # Goldstone UV counter vertices # # ============================== # V_UV_txbGp = CTVertex(name = 'V_UV_txbGp', particles = [ P.t__tilde__, P.b, P.G__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8, L.FFS3 ], loop_particles = [[[P.G,P.b,P.t]]], couplings = {(0,0,0):C.GC_UV_1015,(0,1,0):C.GC_UV_1021}, type = 'UV') V_UV_bxtGp = CTVertex(name = 'V_UV_bxtGp', particles = [ P.b__tilde__, P.t, P.G__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8, L.FFS3 ], loop_particles = [[[P.G,P.b,P.t]]], couplings = {(0,0,0):C.GC_UV_1027,(0,1,0):C.GC_UV_1030}, type = 'UV') V_UV_1077 = CTVertex(name = 'V_UV_1077', particles = [ P.b__tilde__, P.b, P.G0 ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS2 ], loop_particles = [[[P.G,P.b]]], couplings = {(0,0,0):C.GC_UV_1082}, type = 'UV') V_UV_1138 = CTVertex(name = 'V_UV_1138', particles = [ P.c__tilde__, P.c, P.G0 ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS2 ], loop_particles = [[[P.G,P.c]]], couplings = {(0,0,0):C.GC_UV_1085}, type = 'UV') V_UV_1139 = CTVertex(name = 'V_UV_1139', particles = [ P.t__tilde__, P.t, P.G0 ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS2 ], loop_particles = [[[P.G,P.t]]], couplings = {(0,0,0):C.GC_UV_1095}, type = 'UV') V_UV_1084 = CTVertex(name = 'V_UV_1084', particles = [ P.c__tilde__, P.s, P.G__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS3 ], loop_particles = [[[P.G,P.c,P.s]]], couplings = {(0,0,0):C.GC_UV_1018}, type = 'UV') V_UV_1085 = CTVertex(name = 'V_UV_1085', particles = [ P.t__tilde__, P.s, P.G__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS3 ], loop_particles = [[[P.G,P.t,P.s]]], couplings = {(0,0,0):C.GC_UV_1019}, type = 'UV') V_UV_1086 = CTVertex(name = 'V_UV_1086', particles = [ P.u__tilde__, P.b, P.G__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8 ], loop_particles = [[[P.G,P.u,P.b]]], couplings = {(0,0,0):C.GC_UV_1013}, type = 'UV') V_UV_1087 = CTVertex(name = 'V_UV_1087', particles = [ P.c__tilde__, P.b, P.G__plus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8, L.FFS3 ], loop_particles = [[[P.G,P.c,P.b]]], couplings = {(0,0,0):C.GC_UV_1014,(0,1,0):C.GC_UV_1020}, type = 'UV') V_UV_1116 = CTVertex(name = 'V_UV_1116', particles = [ P.b__tilde__, P.u, P.G__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS3 ], loop_particles = [[[P.G,P.u,P.b]]], couplings = {(0,0,0):C.GC_UV_1028}, type = 'UV') V_UV_1117 = CTVertex(name = 'V_UV_1117', particles = [ P.d__tilde__, P.c, P.G__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8 ], loop_particles = [[[P.G,P.c,P.d]]], couplings = {(0,0,0):C.GC_UV_1022}, type = 'UV') V_UV_1118 = CTVertex(name = 'V_UV_1118', particles = [ P.s__tilde__, P.c, P.G__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8 ], loop_particles = [[[P.G,P.c,P.s]]], couplings = {(0,0,0):C.GC_UV_1023}, type = 'UV') V_UV_1119 = CTVertex(name = 'V_UV_1119', particles = [ P.b__tilde__, P.c, P.G__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8, L.FFS3 ], loop_particles = [[[P.G,P.c,P.b]]], couplings = {(0,0,0):C.GC_UV_1024,(0,1,0):C.GC_UV_1029}, type = 'UV') V_UV_1120 = CTVertex(name = 'V_UV_1120', particles = [ P.d__tilde__, P.t, P.G__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8 ], loop_particles = [[[P.G,P.t,P.d]]], couplings = {(0,0,0):C.GC_UV_1025}, type = 'UV') V_UV_1121 = CTVertex(name = 'V_UV_1121', particles = [ P.s__tilde__, P.t, P.G__minus__ ], color = [ 'Identity(1,2)' ], lorentz = [ L.FFS8 ], loop_particles = [[[P.G,P.s,P.t]]], couplings = {(0,0,0):C.GC_UV_1026}, type = 'UV')