论文标题

LHC的三循环螺旋幅度用于三光子的生产

Two-loop leading-color helicity amplitudes for three-photon production at the LHC

论文作者

Chawdhry, Herschel A., Czakon, Michal, Mitov, Alexander, Poncelet, Rene

论文摘要

我们计算了该过程$ q \ bar q \至γγγ$的两环无质量螺旋幅度的所有平面贡献。根据Chicherin和Sotnikov最近提出的功能基础,以完全分析的形式介绍了结果。通过此出版物,我们提供了我们在LHC工艺的NNLO QCD计算中已经使用的两环贡献$ pp \toγγ$ [Chawdhry等。 (2019)]。我们的结果与最近对相同振幅的计算一致[Abreu等。 (2020)]使用不同的技术进行。我们结合了几种现代计算技术,尤其是针对IBP身份的分析解决方案,有限场重建技术以及最近的方法[Chen(2019)],以有效地预测螺旋性振幅。我们的框架似乎非常适合计算两环元素振幅,其中存在完整的主积分集。

We calculate all planar contributions to the two-loop massless helicity amplitudes for the process $q\bar q\to γγγ$. The results are presented in fully analytic form in terms of the functional basis proposed recently by Chicherin and Sotnikov. With this publication we provide the two-loop contributions already used by us in the NNLO QCD calculation of the LHC process $pp\to γγγ$ [Chawdhry et al. (2019)]. Our results agree with a recent calculation of the same amplitude [Abreu et al. (2020)] which was performed using different techniques. We combine several modern computational techniques, notably, analytic solutions for the IBP identities, finite-field reconstruction techniques as well as the recent approach [Chen (2019)] for efficiently projecting helicity amplitudes. Our framework appears well-suited for the calculation of two-loop multileg amplitudes for which complete sets of master integrals exist.

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