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

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arxiv 2012.13553 v2 pith:BF4HHCIM submitted 2020-12-25 hep-ph hep-th

classification hep-phhep-th
keywords gammaamplitudestwo-loopcalculationhelicitytechniquesanalyticcontributions
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We calculate all planar contributions to the two-loop massless helicity amplitudes for the process $q\bar q\to \gamma\gamma\gamma$. 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 $pp\to \gamma\gamma\gamma$ [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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  1. Two-loop helicity amplitudes for diphoton production with massive quark loop

    hep-ph 2025-02 conditional novelty 7.0 of 10

    Two-loop helicity amplitudes for diphoton production with a massive top quark loop are computed, providing new analytic results for gluon fusion and benchmark numbers for both channels.

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