H graph with unequal masses in quantum field theory

Abstract

We compute the family of Feynman integrals related to the H graph with unequal masses in relativistic quantum field theory. We present an ϵ-factorized differential equation for the 40 master integrals. The alphabet consists of 29 dlog forms with algebraic arguments, involving six square roots. As these square roots are not simultaneously rationalizable, we express the master integrals in terms of iterated integrals. In addition, we express the H graph with unit powers of the propagators up to weight 4 in terms of multiple polylogarithms in compact form. Published by the American Physical Society 2024