# Two-loop amplitudes for $q g \to H q$ and $q \bar{q} \to H g$ mediated by a nearly massless quark

## TL;DR

This paper calculates two-loop quantum chromodynamics (QCD) corrections for specific Higgs production processes involving nearly massless quarks, crucial for precise predictions of Higgs transverse momentum at colliders.

## Contribution

It provides the first complete two-loop QCD amplitude calculations for the processes mediated by nearly massless quarks, completing the NLO corrections for Higgs transverse momentum distributions.

## Key findings

- Two-loop amplitudes computed for $q g o H q$ and $q ar{q} o H g$ processes.
- These results enable precise NLO QCD predictions for Higgs production involving bottom quark loops.
- Addresses the last missing piece in the theoretical description of Higgs transverse momentum at colliders.

## Abstract

We compute the two-loop QCD corrections to $q g \to H q$ and $q \bar{q} \to H g$ amplitudes mediated by loops of nearly massless quarks. These amplitudes provide the last missing ingredient required to compute the NLO QCD corrections to the top-bottom interference contribution to the Higgs boson transverse momentum distribution at hadron colliders.