Chiral Corrections to Lattice Calculations of Charge Radii

TL;DR

This paper investigates chiral loop divergences affecting lattice calculations of pion and proton charge radii, aiming to clarify systematic uncertainties and explain why current results show similar sizes for both particles.

Contribution

It provides an analysis of logarithmic divergences in chiral loops and their impact on lattice charge radius calculations, addressing a longstanding discrepancy.

Findings

Chiral corrections can resolve the similarity issue in lattice charge radii.

Logarithmic divergences significantly influence systematic uncertainties.

The study offers insights into improving lattice QCD calculations.

Abstract

Logarithmic divergences in pion and proton charge radii associated with chiral loops are investigated to assess systematic uncertainties in current lattice determinations of charge radii. The chiral corrections offer a possible solution to the long standing problem of why present lattice calculations yield proton and pion radii which are similar in size.