General $\varepsilon$-representation for scalar one-loop Feynman integrals
High Energy Physics - Phenomenology
2016-04-14 v2
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.
Cite
@article{arxiv.1510.01063,
title = {General $\varepsilon$-representation for scalar one-loop Feynman integrals},
author = {Johannes Bluemlein and Khiem Hong Phan and Tord Riemann},
journal= {arXiv preprint arXiv:1510.01063},
year = {2016}
}
Comments
5 pages Latex,Contribution to the Proceedings of QCD 15, Montpellier, July 2015