English

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

High Energy Physics - Phenomenology 2019-12-06 v2

Abstract

New analytic formulas for one-loop three-point Feynman integrals in general space-time dimension (dd) 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 2F1_2F_1, 3F2_3F_2 for special cases and Appell F1F_1 for general cases. Furthermore, we cross-check our analytic results with other references which have carried out the integrals in several special cases.

Keywords

Cite

@article{arxiv.1904.07430,
  title  = {One-loop three-point Feynman integrals with Appell $F_1$ hypergeometric functions},
  author = {Khiem Hong Phan and Dzung Tri Tran},
  journal= {arXiv preprint arXiv:1904.07430},
  year   = {2019}
}

Comments

22 pages, 1 figure

R2 v1 2026-06-23T08:40:46.139Z