Improved radiative corrections for (e,e'p) experiments - A novel approach to multi-photon bremsstrahlung

TL;DR

This paper introduces a new method for calculating multi-photon bremsstrahlung corrections in (e,e'p) experiments, improving accuracy by combining exact treatment of one hard photon with soft-photon approximation for others.

Contribution

A novel approach that partially removes the soft-photon approximation in radiative corrections for (e,e'p) experiments, enhancing the precision of multi-photon bremsstrahlung modeling.

Findings

Improved accuracy in missing-energy distribution predictions.

Relevance demonstrated at MAMI and TJNAF energies.

Partial removal of SPA improves correction quality.

Abstract

Radiative processes lead to important corrections to (e,e'p) experiments. While radiative corrections can be calculated exactly in QED and to a good accuracy also including hadronic corrections, these corrections cannot be included into data analyses to arbitrary orders exactly. Nevertheless consideration of multi-photon bremsstrahlung above the low-energy cut-off is important for many (e,e'p) experiments. To date, higher-order bremsstrahlung effects concerning electron scattering experiments have been implemented approximately by employing the soft-photon approximation (SPA). In this paper we propose a novel approach to multi-photon emission which partially removes the SPA from (e,e'p) experiments. In this combined approach one hard photon is treated exactly; and additional softer bremsstrahlung photons are taken into account resorting to the soft-photon approximation. This partial removal of the soft-photon approximation is shown to be relevant for the missing-energy distribution for several kinematic settings at MAMI and TJNAF energies.