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Two-loop QED corrections to the scattering of four massive leptons

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arxiv 2311.06385 v1 pith:K6QVHCB4 submitted 2023-11-10 hep-ph

Two-loop QED corrections to the scattering of four massive leptons

classification hep-ph
keywords scatteringfourleptonsmassiveamplitudecorrectionselliptictwo-loop
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study two-loop corrections to the scattering amplitude of four massive leptons in quantum electrodynamics. These amplitudes involve previously unknown elliptic Feynman integrals, which we compute analytically using the differential equation method. In doing so, we uncover the details of the elliptic geometry underlying this scattering amplitude and show how to exploit its properties to obtain compact, easy-to-evaluate series expansions that describe the scattering of four massive leptons in QED in the kinematical regions relevant for Bhabha and M{\o}ller scattering processes.

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