Two-loop QCD corrections for three-photon production at hadron colliders
Samuel Abreu, Giuseppe De Laurentis, Harald Ita, Maximillian Klinkert, Ben Page, Vasily Sotnikov
SciPost Phys. 15, 157 (2023) · published 12 October 2023
- doi: 10.21468/SciPostPhys.15.4.157
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Abstract
We complete the computation of the two-loop helicity amplitudes for the production of three photons at hadron colliders, including all contributions beyond the leading-color approximation. We reconstruct the analytic form of the amplitudes from numerical finite-field samples obtained with the numerical unitarity method. This method requires as input surface terms for all relevant five-point non-planar integral topologies, which we obtain by solving the associated syzygy problem in embedding space. The numerical samples are used to constrain compact spinor-helicity ansätze, which are optimized by taking advantage of the known one-loop analytic structure. We make our analytic results available in a public C++ library, which is suitable for immediate phenomenological applications. We estimate that the inclusion of the subleading-color contributions will decrease the size of the two-loop corrections by about 30% to 50%, and the NNLO cross sections by a few percent, compared to the results in the leading-color approximation.
Cited by 11
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Samuel Abreu,
- 3 Giuseppe De Laurentis,
- 3 4 Harald Ita,
- 5 Maximillian Klinkert,
- 1 Ben Page,
- 4 6 Vasily Sotnikov
- 1 Organisation européenne pour la recherche nucléaire / European Organization for Nuclear Research [CERN]
- 2 University of Edinburgh
- 3 Paul Scherrer Institute [PSI]
- 4 Universität Zürich / University of Zurich [UZH]
- 5 Albert-Ludwigs-Universität Freiburg / University of Freiburg
- 6 Michigan State University [MSU]