The structure of quark mass corrections in the gg → HH amplitude at high-energy

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2025年9月1日

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Sebastian Jaskiewicz,
Stephen Jones,
Robert Szafron,
Yannick Ulrich

摘要

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 → HH amplitudes at leading and next-to-leading power in the limit s, |t|, |u| ≫ $m_{t}^{2}$ $ {m}_t^2 $ ≫ $m_{H}^{2}$ $ {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 scattering energies ≳ 1 TeV due to the top-quark mass scheme.