Effective field theory for large logarithms in radiative corrections to electron proton scattering

TL;DR

This paper develops an effective field theory framework to systematically identify, compute, and resum large logarithmic corrections in radiative processes of electron-proton scattering, improving precision in extracting physical observables.

Contribution

It introduces a new factorization formula and performs two-loop matching calculations within soft-collinear effective theory for radiative corrections.

Findings

Explicit two-loop calculations of large logarithms

Systematic resummation of large logarithmic corrections

Implications for precise extraction of charge radii

Abstract

Radiative corrections to elastic electron-proton scattering are analyzed in effective field theory. A new factorization formula identifies all sources of large logarithms in the limit of large momentum transfer, $Q^2\gg m_e^2$. Explicit matching calculations are performed through two-loop order. A renormalization analysis in soft-collinear effective theory is performed to systematically compute and resum large logarithms. Implications for the extraction of charge radii and other observables from scattering data are discussed. The formalism may be applied to other lepton-nucleon scattering and $e^+e^-$ annihilation processes.