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

## TL;DR

This paper calculates three-loop corrections to the Higgs-gluon form factor considering the top quark mass, using advanced mathematical techniques to cover the entire energy spectrum.

## Contribution

It introduces a novel combination of expansion methods, conformal mapping, and Padé approximation to accurately determine the form factor across all kinematic regimes.

## Key findings

- Accurate three-loop Higgs-gluon form factor with top mass dependence.
- Method effectively interpolates between threshold and large mass limits.
- Enhances precision in Higgs production predictions.

## 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 Pad\'e approximation to describe the form factor over the full kinematic range.