TFi

Description

TFi[d, pp, {{n1,m1},{n2,m2},{n3,m3},{n4,m4},{n5,m5}}] is the loop d-dimensional integral 1/( (q1^2 - m1^2)^n1 (q2^2 - m2^2)^n2 ((q1-p)^2 - m3^2)^n3 *((q2-p)^2 - m4^2)^n4 * ((q1-q2)^2 - m5^2)^n5 ) . TFi[d, pp, {x,y,z,v,w}, {{n1,m1},{n2,m2},{n3,m3},{n4,m4},{n5,m5}}] has as additional factors in the numerator (q1^2)^x*(q2^2)^y*(q1.p)^z* (q2.p)^v*(q1.q2)^w. TFi[d, pp, dp, {a,b}, {{n1,m1},{n2,m2},{n3,m3},{n4,m4},{n5,m5}}] has as additional factors in the numerator (OPEDelta.q1)^a * (OPEDelta.q2)^b; dp is (OPEDelta.p).

TFi is similar to TFI from the TARCER package, see  hep-ph/9801383.

The function TarcerRecurse from the TARCER package recognize TFi (as well as TFI, which is defined in the HighEnergyPhysics`Tarcer` context).

See also: ToTFi, FromTFi.

Examples

TFi[D, M^2, {{2, m1}, {1, m2}, {3, m3}, {1, m4}, {1, m5}}]

TFi[D, M^2, {{2, M}, 1, 1, 1, 1}]