93 citations · 448 across the 26 of their papers we have counts for
28 papers
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…
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…
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…
Geometrical methods for the analytic evaluation of multiple Mellin-Barnes integrals
Sumit Banik, Samuel Friot
Two recently developed techniques of analytic evaluation of multifold Mellin-Barnes (MB) integrals are presented. Both approaches rest on the definition of geometrical objets conve…
Multiple Mellin-Barnes integrals and triangulations of point configurations
Sumit Banik, Samuel Friot
We present a novel technique for the analytic evaluation of multifold Mellin-Barnes (MB) integrals, which commonly appear in physics, as for instance in the calculations of multi-l…
Multiple Mellin-Barnes integrals with straight contours
Sumit Banik, Samuel Friot
We show how the conic hull method, recently developed for the analytic and non-iterative evaluation of multifold Mellin-Barnes (MB) integrals, can be extended to the case where the…