Quark mass corrections in di-Higgs production amplitude at high-energy

TL;DR

This paper addresses the large theoretical uncertainties in di-Higgs production predictions caused by the top-quark mass renormalisation scheme, proposing a method to reduce these uncertainties at high energies.

Contribution

It advances understanding of the $gg\to HH$ amplitude in the high-energy limit by applying the Method of Regions and Soft-Collinear Effective Theory to resum leading logarithms.

Findings

Leading power in $m_t$ behaviour understood to all orders

Leading logarithmic resummation reduces scheme choice uncertainty

Significant uncertainty reduction in high-energy virtual amplitude

Abstract

A large theoretical uncertainty due to the choice of the top-quark mass renormalisation scheme is present in QCD predictions for Higgs boson pair production. In these proceedings, we report on the recent progress in tackling these uncertainties for the $gg\to HH$ amplitude in the high-energy limit $s,|t|,|u| \gg m_t^2 \gg m_H^2$. Using the Method of Regions and Soft-Collinear Effective Theory, the leading power in $m_t$ behaviour of the amplitude is understood to all orders in the strong coupling expansion, and leading logarithmic resummation leads to a significant reduction in the scheme choice uncertainty in the virtual amplitude for di-Higgs production at high energies.