论文标题

两环希格斯振幅中的夸克质量效应

Quark mass effects in two-loop Higgs amplitudes

论文作者

Anastasiou, Charalampos, Deutschmann, Nicolas, Schweitzer, Armin

论文摘要

我们提供了两个与精度希格斯物理学相关的两环振幅。首先是通过gluon Fusion生产Higgs Boson的两循环振幅,其准确依赖于顶部的夸克质量,直至尺寸调节器$ε$中的平方顺序。我们提供的第二个结果是,将希格斯玻色子衰减的两循环振幅通过无限顶部质量限制中的希格斯至绿色耦合,进入一对巨大的底部夸克。这两个幅度均通过查找主积分的规范基础来计算,我们根据谐波多组载体明确评估。我们获得裸露,重新归一化和IR提取的幅度,并根据适合改变重新归化方案的构建块提供结果。

We provide two two-loop amplitudes relevant for precision Higgs physics. The first is the two-loop amplitude for Higgs boson production through gluon fusion with exact dependence on the top quark mass up to squared order in the dimensional regulator $ε$. The second result we provide is the two-loop amplitude for the decay of a Higgs boson into a pair of massive bottom quarks through the Higgs-to-gluon coupling in the infinite top mass limit. Both amplitudes are computed by finding canonical bases of master integrals, which we evaluate explicitly in terms of harmonic polylogarithms. We obtain the bare, renormalized and IR-subtracted amplitude and provide the results in terms of building blocks suitable to changing renormalization schemes.

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