论文标题

两循环混合QCD-EW更正至$ gg \ to hg $

Two-loop mixed QCD-EW corrections to $gg \to Hg$

论文作者

Bonetti, Marco, Panzer, Erik, Smirnov, Vladimir A., Tancredi, Lorenzo

论文摘要

我们将双环混合QCD-ElectRoweak(QCD-EW)校正用于Higgs玻色子的生产和Gluon融合中的Gluon。具有内部质量传播器的相关四点函数表示为具有代数参数的多个多组载体。我们通过对Feynman参数的集成进行计算,并通过微分方程的方法独立地进行计算。我们计算了该过程的两个独立的螺旋性振幅,我们发现它们都是有限的。此外,当所有振铃具有相同的螺旋性时,我们会观察到体重下降。我们还为全加螺旋幅度提供了简化的表达式,该表达式已优化,可用于物理区域中的快速和可靠的数值评估。

We compute the two-loop mixed QCD-Electroweak (QCD-EW) corrections to the production of a Higgs boson and a gluon in gluon fusion. The relevant four-point functions with internal massive propagators are expressed as multiple polylogarithms with algebraic arguments. We perform the calculation by integration over Feynman parameters and, independently, by the method of differential equations. We compute the two independent helicity amplitudes for the process and we find that they are both finite. Moreover, we observe a weight drop when all gluons have the same helicity. We also provide a simplified expression for the all-plus helicity amplitude, which is optimised for fast and reliable numerical evaluation in the physical region.

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