Planar master integrals for the two-loop light-fermion electroweak corrections to Higgs plus jet production

TL;DR

This paper analytically computes planar master integrals for two-loop light-fermion electroweak corrections in Higgs plus jet production, fully accounting for electroweak-boson mass effects using differential equations and polylogarithms.

Contribution

It provides the first complete analytic expressions for these integrals with full electroweak-mass dependence, advancing precision calculations in Higgs physics.

Findings

Master integrals expressed in terms of multiple polylogarithms up to weight four.

Analytic results enable more accurate electroweak correction computations.

Methodology applicable to similar multi-loop Feynman integrals.

Abstract

We present the analytic calculation of the planar master integrals which contribute to compute the two-loop light-fermion electroweak corrections to the production of a Higgs boson in association with a jet in gluon-gluon fusion. The complete dependence on the electroweak-boson mass is retained. The master integrals are evaluated by means of the differential equations method and the analytic results are expressed in terms of multiple polylogarithms up to weight four.