Speaker
Sumit Banik
(University of Zurich & Paul Scherrer Institut)
Description
I will discuss a novel approach based on the triangulation of point configurations to evaluate higher-fold Mellin-Barnes (MB) integrals in terms of hypergeometric functions. I will show that this new approach is computationally more efficient than the existing conic hull approach to evaluate MB integrals. As an application of this triangulation approach, I will first present new, simpler hypergeometric solutions of the conformal two-loop double box and one-loop hexagon Feynman integrals. Furthermore, using MB integrals, I will present new convergent series solutions of multiple polylogarithms commonly appearing in Feynman integral calculus.
Primary authors
Sumit Banik
(University of Zurich & Paul Scherrer Institut)
Samuel Friot
(Universite Paris-Saclay)
