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arXiv · 1802.07174

Soft-photon corrections to the Bethe-Heitler process in the $\gamma p\rightarrow l^+l^-p$ reaction

Matthias Heller·Oleksandr Tomalak·Marc Vanderhaeghen
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Abstract

We report on the calculation of first-order QED corrections for the $\gamma p\rightarrow l^+l^-p^{\prime}$ process. An upcoming experiment at MAMI (Mainz) aims to compare the cross sections of muon- and electron-pair production in this reaction to test lepton universality. Precise knowledge of the electromagnetic radiative corrections is needed for these measurements. As a first step, we present the leading QED radiative corrections in the soft-photon approximation when accounting for the finite lepton mass. For the kinematics at MAMI, we find corrections of the percent level for muons, and of order $10\%$ for electrons.

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Matthias Heller, Oleksandr Tomalak, Marc Vanderhaeghen. 2018-02-20. Soft-photon corrections to the Bethe-Heitler process in the $\gamma p\rightarrow l^+l^-p$ reaction. https://doi.org/10.1103/physrevd.97.076012

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