Abstract
We present the analytic and compact two-loop helicity amplitudes for QCD and QED corrections to the light-by-light scattering process with massive internal fermions. We express the master integrals either in terms of multiple polylogarithms or in terms of iterated integrals with dlog one-forms. We also elaborate on optimising the analytic results for each phase-space region. This makes the numerical evaluation of the scattering amplitudes fast, stable and suitable for phenomenological applications.
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Acknowledgments
We thank Claude Duhr, Mathijs Fraaije, Johannes Henn, Valentin Hirschi, Kirill Melnikov, Lukas Simon, Vasily Sotnikov, Guoxing Wang and Simone Zoia for useful discussions. This work is supported by the grants from the ERC (grant 101041109 ‘BOSON’, grant 101043686 ‘LoCoMotive’), the French ANR (grant ANR-20-CE31-0015 ‘PrecisOnium’), the French LIA FCPPL, the European Union’s Horizon 2020 research and innovation program (grant 824093 STRONG-2020, EU Virtual Access ‘NLOAccess’).
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A H, A., Chaubey, E. & Shao, HS. Two-loop massive QCD and QED helicity amplitudes for light-by-light scattering. J. High Energ. Phys. 2024, 121 (2024). https://doi.org/10.1007/JHEP03(2024)121
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DOI: https://doi.org/10.1007/JHEP03(2024)121