1
subroutine tttxxx(tt,ta,tb,gt,vertex)
3
c This subroutine computes an amplitude of the three-point coupling of
4
c two gauge bosons and a tensor boson.
7
c complex ta(18) : first tensor ta
8
c complex tb(18) : second tensor tb
9
c complex tt(18) : input tensor tt
10
c complex gt : coupling constant gtv=-1/Lambda
12
c complex vertex : amplitude gamma(tt,ta,tb)
15
double complex ta(18), tb(18), tt(18), gt, vertex
16
double complex T1(6,4),T2(6,4),T(6,4)
21
double precision rZero, rTwo
22
parameter( rZero = 0.0d0, rTwo = 2.0d0 )
23
parameter( cZero = ( 0.0d0, 0.0d0 ) )
84
vertex =-gt*(T(1,1)*T1(1,2)*T2(1,2) - T(2,2)*T1(1,2)*T2(1,2) +
85
- T(3,3)*T1(1,2)*T2(1,2) + T(4,4)*T1(1,2)*T2(1,2) -
86
- T(2,3)*T1(1,3)*T2(1,2) - T(3,2)*T1(1,3)*T2(1,2) -
87
- T(2,4)*T1(1,4)*T2(1,2) - T(4,2)*T1(1,4)*T2(1,2) -
88
- T(1,1)*T1(2,1)*T2(1,2) + T(2,2)*T1(2,1)*T2(1,2) -
89
- T(3,3)*T1(2,1)*T2(1,2) - T(4,4)*T1(2,1)*T2(1,2) +
90
- T(1,3)*T1(2,3)*T2(1,2) + T(3,1)*T1(2,3)*T2(1,2) +
91
- T(1,4)*T1(2,4)*T2(1,2) + T(4,1)*T1(2,4)*T2(1,2) +
92
- T(2,3)*T1(3,1)*T2(1,2) + T(3,2)*T1(3,1)*T2(1,2) -
93
- T(1,3)*T1(3,2)*T2(1,2) - T(3,1)*T1(3,2)*T2(1,2) +
94
- T(2,4)*T1(4,1)*T2(1,2) + T(4,2)*T1(4,1)*T2(1,2) -
95
- T(1,4)*T1(4,2)*T2(1,2) - T(4,1)*T1(4,2)*T2(1,2) -
96
- T(2,3)*T1(1,2)*T2(1,3) - T(3,2)*T1(1,2)*T2(1,3) +
97
- T(1,1)*T1(1,3)*T2(1,3) + T(2,2)*T1(1,3)*T2(1,3) -
98
- T(3,3)*T1(1,3)*T2(1,3) + T(4,4)*T1(1,3)*T2(1,3) -
99
- T(3,4)*T1(1,4)*T2(1,3) - T(4,3)*T1(1,4)*T2(1,3) +
100
- T(2,3)*T1(2,1)*T2(1,3) + T(3,2)*T1(2,1)*T2(1,3) -
101
- T(1,2)*T1(2,3)*T2(1,3) - T(2,1)*T1(2,3)*T2(1,3) -
102
- T(1,1)*T1(3,1)*T2(1,3) - T(2,2)*T1(3,1)*T2(1,3) +
103
- T(3,3)*T1(3,1)*T2(1,3) - T(4,4)*T1(3,1)*T2(1,3) +
104
- T(1,2)*T1(3,2)*T2(1,3) + T(2,1)*T1(3,2)*T2(1,3) +
105
- T(1,4)*T1(3,4)*T2(1,3) + T(4,1)*T1(3,4)*T2(1,3) +
106
- T(3,4)*T1(4,1)*T2(1,3) + T(4,3)*T1(4,1)*T2(1,3) -
107
- T(1,4)*T1(4,3)*T2(1,3) - T(4,1)*T1(4,3)*T2(1,3) -
108
- T(2,4)*T1(1,2)*T2(1,4) - T(4,2)*T1(1,2)*T2(1,4) -
109
- T(3,4)*T1(1,3)*T2(1,4) - T(4,3)*T1(1,3)*T2(1,4) +
110
- T(1,1)*T1(1,4)*T2(1,4) + T(2,2)*T1(1,4)*T2(1,4) +
111
- T(3,3)*T1(1,4)*T2(1,4) - T(4,4)*T1(1,4)*T2(1,4) +
112
- T(2,4)*T1(2,1)*T2(1,4) + T(4,2)*T1(2,1)*T2(1,4) -
113
- T(1,2)*T1(2,4)*T2(1,4) - T(2,1)*T1(2,4)*T2(1,4) +
114
- T(3,4)*T1(3,1)*T2(1,4) + T(4,3)*T1(3,1)*T2(1,4) -
115
- T(1,3)*T1(3,4)*T2(1,4) - T(3,1)*T1(3,4)*T2(1,4) -
116
- T(1,1)*T1(4,1)*T2(1,4) - T(2,2)*T1(4,1)*T2(1,4) -
117
- T(3,3)*T1(4,1)*T2(1,4) + T(4,4)*T1(4,1)*T2(1,4) +
118
- T(1,2)*T1(4,2)*T2(1,4) + T(2,1)*T1(4,2)*T2(1,4) +
119
- T(1,3)*T1(4,3)*T2(1,4) + T(3,1)*T1(4,3)*T2(1,4) -
120
- T(1,1)*T1(1,2)*T2(2,1) + T(2,2)*T1(1,2)*T2(2,1) -
121
- T(3,3)*T1(1,2)*T2(2,1) - T(4,4)*T1(1,2)*T2(2,1) +
122
- T(2,3)*T1(1,3)*T2(2,1) + T(3,2)*T1(1,3)*T2(2,1) +
123
- T(2,4)*T1(1,4)*T2(2,1) + T(4,2)*T1(1,4)*T2(2,1) +
124
- T(1,1)*T1(2,1)*T2(2,1) - T(2,2)*T1(2,1)*T2(2,1) +
125
- T(3,3)*T1(2,1)*T2(2,1) + T(4,4)*T1(2,1)*T2(2,1) -
126
- T(1,3)*T1(2,3)*T2(2,1) - T(3,1)*T1(2,3)*T2(2,1) -
127
- T(1,4)*T1(2,4)*T2(2,1) - T(4,1)*T1(2,4)*T2(2,1) -
128
- T(2,3)*T1(3,1)*T2(2,1) - T(3,2)*T1(3,1)*T2(2,1) +
129
- T(1,3)*T1(3,2)*T2(2,1) + T(3,1)*T1(3,2)*T2(2,1) -
130
- T(2,4)*T1(4,1)*T2(2,1) - T(4,2)*T1(4,1)*T2(2,1) +
131
- T(1,4)*T1(4,2)*T2(2,1) + T(4,1)*T1(4,2)*T2(2,1) +
132
- T(1,3)*T1(1,2)*T2(2,3) + T(3,1)*T1(1,2)*T2(2,3) -
133
- T(1,2)*T1(1,3)*T2(2,3) - T(2,1)*T1(1,3)*T2(2,3) -
134
- T(1,3)*T1(2,1)*T2(2,3) - T(3,1)*T1(2,1)*T2(2,3) +
135
- T(1,1)*T1(2,3)*T2(2,3) + T(2,2)*T1(2,3)*T2(2,3) +
136
- T(3,3)*T1(2,3)*T2(2,3) - T(4,4)*T1(2,3)*T2(2,3) +
137
- T(3,4)*T1(2,4)*T2(2,3) + T(4,3)*T1(2,4)*T2(2,3) +
138
- T(1,2)*T1(3,1)*T2(2,3) + T(2,1)*T1(3,1)*T2(2,3) -
139
- T(1,1)*T1(3,2)*T2(2,3) - T(2,2)*T1(3,2)*T2(2,3) -
140
- T(3,3)*T1(3,2)*T2(2,3) + T(4,4)*T1(3,2)*T2(2,3) -
141
- T(2,4)*T1(3,4)*T2(2,3) - T(4,2)*T1(3,4)*T2(2,3) -
142
- T(3,4)*T1(4,2)*T2(2,3) - T(4,3)*T1(4,2)*T2(2,3) +
143
- T(2,4)*T1(4,3)*T2(2,3) + T(4,2)*T1(4,3)*T2(2,3) +
144
- T(1,4)*T1(1,2)*T2(2,4) + T(4,1)*T1(1,2)*T2(2,4) -
145
- T(1,2)*T1(1,4)*T2(2,4) - T(2,1)*T1(1,4)*T2(2,4) -
146
- T(1,4)*T1(2,1)*T2(2,4) - T(4,1)*T1(2,1)*T2(2,4) +
147
- T(3,4)*T1(2,3)*T2(2,4) + T(4,3)*T1(2,3)*T2(2,4) +
148
- T(1,1)*T1(2,4)*T2(2,4) + T(2,2)*T1(2,4)*T2(2,4) -
149
- T(3,3)*T1(2,4)*T2(2,4) + T(4,4)*T1(2,4)*T2(2,4) -
150
- T(3,4)*T1(3,2)*T2(2,4) - T(4,3)*T1(3,2)*T2(2,4) +
151
- T(2,3)*T1(3,4)*T2(2,4) + T(3,2)*T1(3,4)*T2(2,4) +
152
- T(1,2)*T1(4,1)*T2(2,4) + T(2,1)*T1(4,1)*T2(2,4) -
153
- T(1,1)*T1(4,2)*T2(2,4) - T(2,2)*T1(4,2)*T2(2,4) +
154
- T(3,3)*T1(4,2)*T2(2,4) - T(4,4)*T1(4,2)*T2(2,4) -
155
- T(2,3)*T1(4,3)*T2(2,4) - T(3,2)*T1(4,3)*T2(2,4) +
156
- T(2,3)*T1(1,2)*T2(3,1) + T(3,2)*T1(1,2)*T2(3,1) -
157
- T(1,1)*T1(1,3)*T2(3,1) - T(2,2)*T1(1,3)*T2(3,1) +
158
- T(3,3)*T1(1,3)*T2(3,1) - T(4,4)*T1(1,3)*T2(3,1) +
159
- T(3,4)*T1(1,4)*T2(3,1) + T(4,3)*T1(1,4)*T2(3,1) -
160
- T(2,3)*T1(2,1)*T2(3,1) - T(3,2)*T1(2,1)*T2(3,1) +
161
- T(1,2)*T1(2,3)*T2(3,1) + T(2,1)*T1(2,3)*T2(3,1) +
162
- T(1,1)*T1(3,1)*T2(3,1) + T(2,2)*T1(3,1)*T2(3,1) -
163
- T(3,3)*T1(3,1)*T2(3,1) + T(4,4)*T1(3,1)*T2(3,1) -
164
- T(1,2)*T1(3,2)*T2(3,1) - T(2,1)*T1(3,2)*T2(3,1) -
165
- T(1,4)*T1(3,4)*T2(3,1) - T(4,1)*T1(3,4)*T2(3,1) -
166
- T(3,4)*T1(4,1)*T2(3,1) - T(4,3)*T1(4,1)*T2(3,1) +
167
- T(1,4)*T1(4,3)*T2(3,1) + T(4,1)*T1(4,3)*T2(3,1) -
168
- T(1,3)*T1(1,2)*T2(3,2) - T(3,1)*T1(1,2)*T2(3,2) +
169
- T(1,2)*T1(1,3)*T2(3,2) + T(2,1)*T1(1,3)*T2(3,2) +
170
- T(1,3)*T1(2,1)*T2(3,2) + T(3,1)*T1(2,1)*T2(3,2) -
171
- T(1,1)*T1(2,3)*T2(3,2) - T(2,2)*T1(2,3)*T2(3,2) -
172
- T(3,3)*T1(2,3)*T2(3,2) + T(4,4)*T1(2,3)*T2(3,2) -
173
- T(3,4)*T1(2,4)*T2(3,2) - T(4,3)*T1(2,4)*T2(3,2) -
174
- T(1,2)*T1(3,1)*T2(3,2) - T(2,1)*T1(3,1)*T2(3,2) +
175
- T(1,1)*T1(3,2)*T2(3,2) + T(2,2)*T1(3,2)*T2(3,2) +
176
- T(3,3)*T1(3,2)*T2(3,2) - T(4,4)*T1(3,2)*T2(3,2) +
177
- T(2,4)*T1(3,4)*T2(3,2) + T(4,2)*T1(3,4)*T2(3,2) +
178
- T(3,4)*T1(4,2)*T2(3,2) + T(4,3)*T1(4,2)*T2(3,2) -
179
- T(2,4)*T1(4,3)*T2(3,2) - T(4,2)*T1(4,3)*T2(3,2) +
180
- T(1,4)*T1(1,3)*T2(3,4) + T(4,1)*T1(1,3)*T2(3,4) -
181
- T(1,3)*T1(1,4)*T2(3,4) - T(3,1)*T1(1,4)*T2(3,4) -
182
- T(2,4)*T1(2,3)*T2(3,4) - T(4,2)*T1(2,3)*T2(3,4) +
183
- T(2,3)*T1(2,4)*T2(3,4) + T(3,2)*T1(2,4)*T2(3,4) -
184
- T(1,4)*T1(3,1)*T2(3,4) - T(4,1)*T1(3,1)*T2(3,4) +
185
- T(2,4)*T1(3,2)*T2(3,4) + T(4,2)*T1(3,2)*T2(3,4) +
186
- T(1,1)*T1(3,4)*T2(3,4) - T(2,2)*T1(3,4)*T2(3,4) +
187
- T(3,3)*T1(3,4)*T2(3,4) + T(4,4)*T1(3,4)*T2(3,4) +
188
- T(1,3)*T1(4,1)*T2(3,4) + T(3,1)*T1(4,1)*T2(3,4) -
189
- T(2,3)*T1(4,2)*T2(3,4) - T(3,2)*T1(4,2)*T2(3,4) -
190
- T(1,1)*T1(4,3)*T2(3,4) + T(2,2)*T1(4,3)*T2(3,4) -
191
- T(3,3)*T1(4,3)*T2(3,4) - T(4,4)*T1(4,3)*T2(3,4) +
192
- T(2,4)*T1(1,2)*T2(4,1) + T(4,2)*T1(1,2)*T2(4,1) +
193
- T(3,4)*T1(1,3)*T2(4,1) + T(4,3)*T1(1,3)*T2(4,1) -
194
- T(1,1)*T1(1,4)*T2(4,1) - T(2,2)*T1(1,4)*T2(4,1) -
195
- T(3,3)*T1(1,4)*T2(4,1) + T(4,4)*T1(1,4)*T2(4,1) -
196
- T(2,4)*T1(2,1)*T2(4,1) - T(4,2)*T1(2,1)*T2(4,1) +
197
- T(1,2)*T1(2,4)*T2(4,1) + T(2,1)*T1(2,4)*T2(4,1) -
198
- T(3,4)*T1(3,1)*T2(4,1) - T(4,3)*T1(3,1)*T2(4,1) +
199
- T(1,3)*T1(3,4)*T2(4,1) + T(3,1)*T1(3,4)*T2(4,1) +
200
- T(1,1)*T1(4,1)*T2(4,1) + T(2,2)*T1(4,1)*T2(4,1) +
201
- T(3,3)*T1(4,1)*T2(4,1) - T(4,4)*T1(4,1)*T2(4,1) -
202
- T(1,2)*T1(4,2)*T2(4,1) - T(2,1)*T1(4,2)*T2(4,1) -
203
- T(1,3)*T1(4,3)*T2(4,1) - T(3,1)*T1(4,3)*T2(4,1) -
204
- T(1,4)*T1(1,2)*T2(4,2) - T(4,1)*T1(1,2)*T2(4,2) +
205
- T(1,2)*T1(1,4)*T2(4,2) + T(2,1)*T1(1,4)*T2(4,2) +
206
- T(1,4)*T1(2,1)*T2(4,2) + T(4,1)*T1(2,1)*T2(4,2) -
207
- T(3,4)*T1(2,3)*T2(4,2) - T(4,3)*T1(2,3)*T2(4,2) -
208
- T(1,1)*T1(2,4)*T2(4,2) - T(2,2)*T1(2,4)*T2(4,2) +
209
- T(3,3)*T1(2,4)*T2(4,2) - T(4,4)*T1(2,4)*T2(4,2) +
210
- T(3,4)*T1(3,2)*T2(4,2) + T(4,3)*T1(3,2)*T2(4,2) -
211
- T(2,3)*T1(3,4)*T2(4,2) - T(3,2)*T1(3,4)*T2(4,2) -
212
- T(1,2)*T1(4,1)*T2(4,2) - T(2,1)*T1(4,1)*T2(4,2) +
213
- T(1,1)*T1(4,2)*T2(4,2) + T(2,2)*T1(4,2)*T2(4,2) -
214
- T(3,3)*T1(4,2)*T2(4,2) + T(4,4)*T1(4,2)*T2(4,2) +
215
- T(2,3)*T1(4,3)*T2(4,2) + T(3,2)*T1(4,3)*T2(4,2) -
216
- T(1,4)*T1(1,3)*T2(4,3) - T(4,1)*T1(1,3)*T2(4,3) +
217
- T(1,3)*T1(1,4)*T2(4,3) + T(3,1)*T1(1,4)*T2(4,3) +
218
- T(2,4)*T1(2,3)*T2(4,3) + T(4,2)*T1(2,3)*T2(4,3) -
219
- T(2,3)*T1(2,4)*T2(4,3) - T(3,2)*T1(2,4)*T2(4,3) +
220
- T(1,4)*T1(3,1)*T2(4,3) + T(4,1)*T1(3,1)*T2(4,3) -
221
- T(2,4)*T1(3,2)*T2(4,3) - T(4,2)*T1(3,2)*T2(4,3) -
222
- T(1,1)*T1(3,4)*T2(4,3) + T(2,2)*T1(3,4)*T2(4,3) -
223
- T(3,3)*T1(3,4)*T2(4,3) - T(4,4)*T1(3,4)*T2(4,3) -
224
- T(1,3)*T1(4,1)*T2(4,3) - T(3,1)*T1(4,1)*T2(4,3) +
225
- T(2,3)*T1(4,2)*T2(4,3) + T(3,2)*T1(4,2)*T2(4,3) +
226
- T(1,1)*T1(4,3)*T2(4,3) - T(2,2)*T1(4,3)*T2(4,3) +
227
- T(3,3)*T1(4,3)*T2(4,3) + T(4,4)*T1(4,3)*T2(4,3))