3 papers
hep-ph2025
Multiple Mellin-Barnes integrals with polygamma functions
Sumit Banik, Samuel Friot
Mellin-Barnes (MB) integrals appear in various branches of physics and mathematics and are, in particular, used as a standard tool for evaluating multi-loop, multi-scale Feynman in…
hep-ph2025
Sunset integrals with up to three mass scales in chiral perturbation theory: a comparative study of the Mellin-Barnes representation technique
Balasubramanian Ananthanarayan, Sumit Banik, Véronique Bernard +3
Sunset integrals are among the simplest of two-loop integrals that appear in perturbative quantum field theories and possess up to four distinct mass scales. By means of integratio…
hep-th2024
Analytic Evaluation of Multiple Mellin-Barnes Integrals
Sumit Banik, Samuel Friot
We summarize two geometrical approaches to analytically evaluate higher-fold Mellin-Barnes (MB) integrals in terms of hypergeometric functions. The first method is based on interse…