HET Journal club: Andrew McLeod

Speaker: Andrew McLeod

Title: An Infinite Class of Six-Particle Feynman Integrals, Computed and Resummed

Abstract: I discuss various methods for computing certain six-point ladder integrals, which are related at adjacent loop orders by a second-order differential equation. These integrals contribute to the six-particle amplitude in maximally supersymmetric Yang-Mills theory at all loop orders, and evaluate to multiple polylogarithms. I show that these integrals can be resummed and expressed at finite coupling as a single Mellin integral over hypergeometric functions. This allows the algebraic properties of these integrals to be studied to all orders, and acts as a useful toy model for the full six-particle amplitude at finite coupling (which is expected to share these algebraic properties).