Title: The structure of quark mass corrections in the $gg \rightarrow HH$ amplitude at high-energy Show Chinese title

Title: 高能下$gg \rightarrow HH$振幅中的夸克质量修正结构

Abstract: 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. Show Chinese abstract

Abstract: 强子对撞机上希格斯玻色子对产生过程的QCD领头阶和次领头阶预言受到与顶夸克质量选取相关的显著质量重整化方案不确定性的影响。 可以利用区域法和软胶子有效理论工具，在高能极限下理解结果相对于中间夸克质量取值的功能依赖性。 在这项工作中，我们研究了在极限 $s,|t|,|u| \gg m_t^2 \gg m_H^2$ 下，领头阶和次领头阶功率 $gg \to HH$ 幅度中可观测对数质量修正的起源。 我们认为这些质量修正遵循一种可预测的因子化模式，可以用来简化它们的计算。 我们给出了领头幂次领头对数修正的结果，我们的分析导致由于顶夸克质量方案引起的双希格斯产生幅度在高能下的理论不确定性显著减少。