General $\epsilon$-representation for scalar one-loop Feynman integrals

Abstract

A systematic study of the scalar one-loop two-, three-, and four-point Feynman integrals is performed. We consider all cases of mass assignment and external invariants and derive closed expressions in arbitrary space-time dimension in terms of higher transcendental functions. The integrals play a role as building blocks in general higher-loop or multi-leg processes. We also perform numerical checks of the calculations using AMBRE/MB and LoopTools/FF.

5 pages Latex,Contribution to the Proceedings of QCD 15, Montpellier, July 2015

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• Hypergeometric presentation for one-loop contributing to $H\to Z\gamma$