Master integrals for O( ααs) corrections to H → ZZ*

We present analytic results for all the Feynman integrals relevant for O( alpha alpha(s)) virtual corrections to H -> ZZ* decay. We use the method of differential equations to solve the master integrals while keeping the full dependence on the masses of all the particles, including those propagating in the loop. Due to the presence of four mass scales, we encounter multiple square roots. We argue that all the occurring square roots can not be rationalized at the same time as a simultaneous rationalization brings us to integrals over CY3 manifolds. Hence we rationalize only three square roots simultaneously and construct suitable ansatze to obtain dlog-forms containing the square roots after obtaining an epsilon-factorised form for the differential equations in D = 4 - 2 epsilon dimensions. We present the alphabet and the analytic form of all the boundary constants that appear in the solutions of the differential equations. The results for master integrals are expressed in terms of Chen's iterated integrals with dlog one-forms.

Automated summary

In this paper, we present analytic results for all Feynman integrals relevant to O(alpha alpha(s)) virtual corrections to H -> ZZ* decay. We utilize the method of differential equations to solve the master integrals with full consideration of the masses of all particles, including those in the loop. We address the issue of rationalizing the multiple square roots arising from the presence of four mass scales.