Equivalence of Recurrence Relations for Feynman Integrals with the Same Total Number of External and Loop Momenta

Details Equivalence of Recurrence Relations for Feynman Integrals with the Same Total Number of External and Loop Momenta Equivalence of Recurrence Relations for Feynman Integrals with the Same Total Number of External and Loop Momenta

2000-01-19

arxiv.org/abs/hep-ph/0001192v1

Phys.Lett. B477 (2000) 367-372

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pp., LaTeX with axodraw.sty

Scientific paper

10.1016/S0370-2693(00)00222-7

We show that the problem of solving recurrence relations for L-loop (R+1)-point Feynman integrals within the method of integration by parts is equivalent to the corresponding problem for (L+R)-loop vacuum or (L+R-1)-loop propagator-type integrals. Using this property we solve recurrence relations for two-loop massless vertex diagrams, with arbitrary numerators and integer powers of propagators in the case when two legs are on the light cone, by reducing the problem to the well-known solution of the corresponding recurrence relations for massless three-loop propagator diagrams with specific boundary conditions.

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