Radiative corrections to the lepton current in unpolarized elastic $lp$-interaction for fixed $Q^2$ and scattering angle

TL;DR

This paper analyzes radiative corrections to the lepton current in unpolarized elastic lepton-proton scattering, comparing fixed $Q^2$ and fixed scattering angle cases with explicit calculations and numerical analysis relevant to Jefferson Lab and MUSE experiments.

Contribution

It provides explicit expressions for radiative corrections without ultrarelativistic approximation and compares kinematic differences between fixed $Q^2$ and fixed angle scenarios.

Findings

Radiative effects differ significantly between fixed $Q^2$ and fixed angle cases.

Explicit correction formulas are derived without ultrarelativistic assumptions.

Numerical analysis shows relevance for Jefferson Lab and MUSE experimental conditions.

Abstract

The kinematical difference between the description of radiative effects for fixed $Q^2$ vs a fixed scattering angle in the elastic lepton-proton ($lp$)-scattering is discussed. The technique of calculation as well as explicit expressions for radiative corrections to the lepton current in unpolarized elastic $lp$-scattering for these two cases are presented without using an ultrarelativistic approximation. A comparative numerical analysis within kinematic conditions of Jefferson Lab measurements and MUSE experiment in PSI is performed.