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arXiv · 1510.01063

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

Johannes Bluemlein·Khiem Hong Phan·Tord Riemann
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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.

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Johannes Bluemlein, Khiem Hong Phan, Tord Riemann. 2015-10-06. General $\varepsilon$-representation for scalar one-loop Feynman integrals. https://doi.org/10.1016/j.nuclphysbps.2016.02.045

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