One-loop three-point Feynman integrals with Appell F 1 hypergeometric functions

Phan, Khiem Hong (VNUHCM-University of Science, 227 Nguyen Van Cu, Dist. 5, Ho Chi Minh City, Vietnam) ; Tran, Dzung Tri (VNUHCM-University of Science, 227 Nguyen Van Cu, Dist. 5, Ho Chi Minh City, Vietnam)

04 July 2019

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


Published in: PTEP 2019 (2019) 063B01 DOI: 10.1093/ptep/ptz050
License: CC-BY-3.0



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