Reconstruction of top-quark mass effects in Higgs pair production and other gluon-fusion processes

TL;DR

This paper introduces a new method to accurately incorporate top-quark mass effects in gluon fusion processes, improving predictions for Higgs and other boson pair productions by reconstructing full mass dependence from expansions and threshold behavior.

Contribution

It presents a novel approach using Padé approximants to reconstruct full top-quark mass dependence from large-m_t expansion and threshold behavior in gluon fusion amplitudes.

Findings

Method accurately reproduces full top-mass dependence.

Comparison shows excellent agreement with recent NLO results.

Enhances precision in Higgs pair production predictions.

Abstract

We propose a novel method for the treatment of top-quark mass effects in the production of $H^{(*)}$, $HH$, $HZ$ and $ZZ$ final states in gluon fusion. We show that it is possible to reconstruct the full top-quark mass dependence of the virtual amplitudes from the corresponding large-$m_t$ expansion and the non-analytic part of the amplitude near the top-quark threshold $\hat{s}=4m_t^2$ with a Pad\'e ansatz. The reliability of our method is clearly demonstrated by a comparison with the recent NLO result for Higgs pair production with full top-quark mass dependence.