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arXiv · 1904.07430

One-loop three-point Feynman integrals with Appell $F_1$ hypergeometric functions

Khiem Hong Phan·Dzung Tri Tran
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Abstract

New analytic formulas for one-loop three-point Feynman integrals in general space-time dimension ($d$) are presented in this paper. The calculations are performed at general configurations for internal masses and external momenta. The analytic results are expressed in terms of hypergeometric series $_2F_1$, $_3F_2$ for special cases and Appell $F_1$ for general cases. Furthermore, we cross-check our analytic results with other references which have carried out the integrals in several special cases.

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Khiem Hong Phan, Dzung Tri Tran. 2019-04-16. One-loop three-point Feynman integrals with Appell $F_1$ hypergeometric functions. https://doi.org/10.1093/ptep%2Fptz050

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