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希格斯玻色子与三个部分子散射振幅的三圈 QCD 修正

Three-Loop QCD Corrections to Scattering Amplitudes of a Higgs Boson and Three Partons

Xin Guan, Bernhard Mistlberger, Michael S. Ruf

arXiv 2607.12033首次发表:更新:

AI 中文总结

研究希格斯玻色子与三个轻部分子散射的三圈 QCD 修正,利用分部积分恒等式和规范微分方程,得到紧凑解析表达式,发现三圈次领头色贡献显著,其振幅对 LHC 精确唯象学很关键。

AI 中文摘要

我们给出了 QCD 重顶夸克有效理论中希格斯玻色子与三个轻部分子散射的三圈螺旋度振幅,具有全色依赖性。为获得这些结果,我们使用在代码 Blade 中实现的分部积分恒等式,并通过规范微分方程评估主积分。我们得到了适用于数值评估的广义多对数形式的紧凑解析表达式。我们观察到三圈次领头色贡献在数值上与领头色项一样显著。我们的振幅是 LHC 精确唯象学的关键要素,例如在涉及希格斯玻色子和强子喷注的产生截面中。

英文摘要

We present helicity amplitudes at three loops in the heavy-top quark effective theory of QCD for the scattering of a Higgs boson and three light partons with full-color dependence. To obtain these results, we use integration-by-parts identities implemented in the code Blade and evaluate the master integrals using canonical differential equations. We obtain compact analytic expressions in terms of generalized polylogarithms suitable for numerical evaluation. We observe that sub-leading color contributions at three loops are numerically as significant as leading-color terms. Our amplitudes are key ingredients for precision LHC phenomenology, for example in production cross sections involving a Higgs boson and a hadronic jet.

CommentsAncillary files are available at https://zenodo.org/records/21302707

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