46 citations · 238 across the 23 of their papers we have counts for
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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…
FeynGKZ: a Mathematica package for solving Feynman integrals using GKZ hypergeometric systems
B. Ananthanarayan, Sumit Banik, Souvik Bera +1
In the Lee-Pomeransky representation, Feynman integrals can be identified as a subset of Euler-Mellin integrals, which are known to satisfy Gel'fand-Kapranov-Zelevinsky (GKZ) syste…
On the Method of Brackets
B. Ananthanarayan, Sumit Banik, Samuel Friot +1
The Method of Brackets (MoB) is a technique used to compute definite integrals, that has its origin in the negative dimensional integration method. It was originally proposed for t…
Massive One-loop Conformal Feynman Integrals and Quadratic Transformations of Multiple Hypergeometric Series
B. Ananthanarayan, Sumit Banik, Samuel Friot +1
The computational technique of -fold Mellin-Barnes (MB) integrals, presented in a companion paper by the same authors, is used to derive sets of series representations of the ma…
Multiple Series Representations of -fold Mellin-Barnes Integrals
B. Ananthanarayan, Sumit Banik, Samuel Friot +1
Mellin-Barnes (MB) integrals are well-known objects appearing in many branches of mathematics and physics, ranging from hypergeometric functions theory to quantum field theory, sol…
The Double Box and Hexagon Conformal Feynman Integrals
B. Ananthanarayan, Sumit Banik, Samuel Friot +1
The off-shell massless six-point double box and hexagon conformal Feynman integrals with generic propagator powers are expressed in terms of linear combinations of multiple hyperge…