English

Scalar 1-loop Feynman integrals as meromorphic functions in space-time dimension d, II: Special kinematics

High Energy Physics - Phenomenology 2020-06-24 v2

Abstract

Based on the method developed in [K.~H.~Phan and T.~Riemann, Phys.\ Lett.\ B {\bf 791} (2019) 257], detailed analytic results for scalar one-loop two-, three-, four-point integrals in general dd-dimension are presented in this paper. The calculations are considered all external kinematic configurations and internal mass assignments. Analytic formulas are expressed in terms of generalized hypergeometric series such as Gauss 2F1_2F_1, Appell F1F_1 and Lauricella FSF_S functions.

Keywords

Cite

@article{arxiv.2004.08044,
  title  = {Scalar 1-loop Feynman integrals as meromorphic functions in space-time dimension d, II: Special kinematics},
  author = {Khiem Hong Phan},
  journal= {arXiv preprint arXiv:2004.08044},
  year   = {2020}
}

Comments

31 pages, references are added, typos are corrected

R2 v1 2026-06-23T14:54:47.568Z