Two-loop massless QCD corrections to the $g+g \rightarrow H+H$ four-point amplitude

TL;DR

This paper calculates two-loop massless QCD corrections to gluon fusion producing Higgs pairs, crucial for precise theoretical predictions in particle physics, and provides a numerical tool for future studies.

Contribution

It presents the first computation of two-loop massless QCD corrections for the $g+g ightarrow H+H$ process in the infinite top mass limit.

Findings

Results enable more accurate third-order QCD predictions for Higgs pair production.

Implementation of a numerical code facilitates practical phenomenological applications.

Enhances understanding of QCD effects in Higgs boson interactions.

Abstract

We compute the two-loop massless QCD corrections to the four-point amplitude $g+g \rightarrow H+H$ resulting from effective operator insertions that describe the interaction of a Higgs boson with gluons in the infinite top quark mass limit. This amplitude is an essential ingredient to the third-order QCD corrections to Higgs boson pair production. We have implemented our results in a numerical code that can be used for further phenomenological studies.