Generalized Recurrence Relations for Two-loop Propagator Integrals with Arbitrary Masses
高能物理 - 唯象学
2009-10-30 v1
摘要
An algorithm for calculating two-loop propagator type Feynman diagrams with arbitrary masses and external momentum is proposed. Recurrence relations allowing to express any scalar integral in terms of basic integrals are given. A minimal set consisting of 15 essentially two-loop and 15 products of one-loop basic integrals is found. Tensor integrals and integrals with irreducible numerators are represented as a combination of scalar ones with a higher space-time dimension which are reduced to the basic set by using the generalized recurrence relations proposed in Ref.[1] (Phys.Rev.D54 (1996) 6479).
引用
@article{arxiv.hep-ph/9703319,
title = {Generalized Recurrence Relations for Two-loop Propagator Integrals with Arbitrary Masses},
author = {O. V. Tarasov},
journal= {arXiv preprint arXiv:hep-ph/9703319},
year = {2009}
}
备注
28 pages, Latex, uses Axodraw.sty