Soft-photon radiative corrections to the $e^- p \to e^- p l^- l^+$ process

Matthias Heller; Niklas Keil; Marc Vanderhaeghen

doi:10.1103/PhysRevD.104.073007

paper

Soft-photon radiative corrections to the $e^{-} p \to e^{-} p l^{-} l^{+}$ process

arXiv:2108.02088 · doi:10.1103/PhysRevD.104.073007

Abstract

We calculate the leading-order QED radiative corrections to the process $e^{-} p \to e^{-} p l^{-} l^{+}$ in the soft-photon approximation, in two different energy regimes which are of relevance to extract nucleon structure information. In the low-energy region, this process is studied to better constrain the hadronic corrections to precision muonic Hydrogen spectroscopy. In the high-energy region, the beam-spin asymmetry for double virtual Compton scattering allows to directly access the Generalized Parton Distributions. We find that the soft-photon radiative corrections have a large impact on the cross sections and are therefore of paramount importance to extract the nucleon structure information from this process. For the forward-backward asymmetry the radiative corrections are found to affect the asymmetry only around or below the 1\% level, whereas the beam-spin asymmetry is not affected at all in the soft-photon approximation, which makes them gold-plated observables to extract nucleon structure information in both the low- and high-energy regimes.

arXiv comment32 pages, 25 figures

Soft-photon radiative corrections to the e−p→e−pl−l+ process

Abstract

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Soft-photon radiative corrections to the $e^{-} p \to e^{-} p l^{-} l^{+}$ process