https://doi.org/10.1140/epjc/s10052-020-7989-4
Regular Article - Theoretical Physics
Scalar 1-loop Feynman integrals as meromorphic functions in space-time dimension d, II: special kinematics
1
University of Science, Ho Chi Minh City, 227 Nguyen Van Cu, District 5, Ho Chi Minh City, Vietnam
2
Vietnam National University, Ho Chi Minh City, Linh Trung Ward, Thu Duc District, Ho Chi Minh City, Vietnam
* e-mail: phkhiem@hcmus.edu.vn
Received:
10
February
2020
Accepted:
29
April
2020
Published online:
12
May
2020
Based on the method developed in Phan and Riemann (Phys Lett B 791:257, 2019), detailed analytic results for scalar one-loop two-, three-, four-point integrals in general d-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 , Appell
and Lauricella
functions.
© The Author(s), 2020