Radiative Correction to Lepton Proton Scatterings in Manifestly Lorentz-Invariant Chiral Perturbation Theory

TL;DR

This paper calculates radiative corrections to low energy elastic lepton-proton scattering using Lorentz-invariant baryon chiral perturbation theory, providing finite, order-specific results that differ from heavy baryon approaches, especially in charge asymmetry.

Contribution

It introduces a Lorentz-invariant chiral perturbation theory approach to compute radiative corrections with finite results, highlighting differences from heavy baryon methods.

Findings

Corrections are infrared and ultraviolet finite.

Results align with hadron model predictions.

Charge asymmetry calculations differ from heavy baryon results.

Abstract

Manifestly Lorentz-invariant baryon chiral perturbation theory is used to calculate the radiative correction of low energy elastic lepton proton scatterings. Corrections of differential cross section and charge asymmetry are given at chiral next-to-leading order $(\mathcal{O}(p^2))$ with a nonzero lepton mass, which are infrared and ultraviolet finite. The results are basically consistent with previous predictions based on hadron model calculation, but they are somewhat different from calculations based on heavy baryon chiral perturbation theory, especially in charge asymmetry.