The structure of quark mass corrections in the $gg \rightarrow HH$ amplitude at high-energy

Fuente: arXiv
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Autori principali: Jaskiewicz, Sebastian, Jones, Stephen, Szafron, Robert, Ulrich, Yannick
Natura: Preprint
Pubblicazione: 2024
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author Jaskiewicz, Sebastian
Jones, Stephen
Szafron, Robert
Ulrich, Yannick
author_facet Jaskiewicz, Sebastian
Jones, Stephen
Szafron, Robert
Ulrich, Yannick
contents The leading and next-to-leading order QCD predictions for Higgs boson pair production at hadron colliders suffer from a significant mass renormalisation scheme uncertainty related to the choice of the top-quark mass. The functional dependence of the result on the value of the intermediate quark mass can be understood in the high-energy limit using the Method of Regions and the tools of Soft-Collinear Effective Theory. In this work, we study the origin of the sizeable logarithmic mass corrections in the $gg \to HH$ amplitudes at leading and next-to-leading power in the limit $s,|t|,|u| \gg m_t^2 \gg m_H^2$. We argue that the mass corrections follow a predictable factorised pattern that can be exploited to simplify their computation. We present results for the leading power leading logarithmic corrections, our analysis leads to a significant reduction in the theoretical uncertainty of the double Higgs production amplitudes at high-energy due to the top-quark mass scheme.
format Preprint
id arxiv_https___arxiv_org_abs_2501_00587
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The structure of quark mass corrections in the $gg \rightarrow HH$ amplitude at high-energy
Jaskiewicz, Sebastian
Jones, Stephen
Szafron, Robert
Ulrich, Yannick
High Energy Physics - Phenomenology
The leading and next-to-leading order QCD predictions for Higgs boson pair production at hadron colliders suffer from a significant mass renormalisation scheme uncertainty related to the choice of the top-quark mass. The functional dependence of the result on the value of the intermediate quark mass can be understood in the high-energy limit using the Method of Regions and the tools of Soft-Collinear Effective Theory. In this work, we study the origin of the sizeable logarithmic mass corrections in the $gg \to HH$ amplitudes at leading and next-to-leading power in the limit $s,|t|,|u| \gg m_t^2 \gg m_H^2$. We argue that the mass corrections follow a predictable factorised pattern that can be exploited to simplify their computation. We present results for the leading power leading logarithmic corrections, our analysis leads to a significant reduction in the theoretical uncertainty of the double Higgs production amplitudes at high-energy due to the top-quark mass scheme.
title The structure of quark mass corrections in the $gg \rightarrow HH$ amplitude at high-energy
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2501.00587