Top quark mass dependence of the Higgs-gluon form factor at three loops

Abstract

We compute three-loop corrections to the Higgs-gluon form factor, incorporating the top quark mass dependence. Our method is based on the combination of expansions around the top threshold and for large top quark mass, using conformal mapping and Padé approximation to describe the form factor over the full kinematic range.

Comments: 15 pages, v2: discussion on threshold contribution extended; eq.(8) corrected; minor modifications; conclusions unchanged