Abstract
We calculate all planar contributions to the two-loop massless helicity amplitudes for the process qoverline{q} → 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 → 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.
Highlights
JHEP06(2021)150 in ref. [78]
The results are presented in fully analytic form in terms of the functional basis proposed recently by Chicherin and Sotnikov
The UV renormalized amplitude for this process is denoted by M(αs)hcc1h2h3h4h5 (x) = δcc M(αs)h1h2h3h4h5 (x) ≡ δcc Mh where we factored out the color dependence
Summary
JHEP06(2021)150 in ref. [78]. We find full agreement between the two results. Our subsequent discussion will be focused on methods used for the evaluation of the amplitude and we refer the interested reader to ref. They are available for download in electronic form with the arXiv submission of this work. Where we factored out the (trivial) color dependence. The UV renormalized amplitude Mhis related to the bare amplitude computed in d = 4−2ε dimensions Mh,B through. The bare coupling αs0 is renormalized in the MS scheme according to αs0 =
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