Alladi Ramakrishnan Hall

GKZ hypergeometric system of multi-loop Feynman integrals and their asymptotic expansions

Ratan Sarkar

IMSc

To match the increasing precision at the collider experiments, it is a requirement from the theoretical side, to include higher order terms in the perturbative expansions of physical observables. One of important ingredients for higher order calculations is
multi-loop Feynman integrals. The construction of system of differential equations for multi-loop Feynman integrals has become a standard tool in the context of precision calculations. In general, it is a non-trivial task to find the boundary values for
Feynman integrals. In this talk, I will present an algorithm for the calculation of boundary values for multi-loop Feynman integrals based on GKZ hypergeometric system and asymptotic expansions.