Finite Volume corrections to $< x>_{u\pm d}$

TL;DR

This paper calculates the complete one-loop finite volume corrections to the average momentum fractions of up and down quarks using two-flavor baryon chiral perturbation theory, providing estimates based on previous fits.

Contribution

It introduces the full one-loop finite volume correction calculations for quark momentum fractions within baryon chiral perturbation theory, enhancing the precision of lattice QCD predictions.

Findings

Finite volume corrections significantly affect $< x >_{u ext{±}d}$ calculations.

Estimates based on previous fits suggest notable finite volume effects.

Provides a framework for more accurate lattice QCD analyses.

Abstract

In this paper we calculate the full one-loop finite volume corrections to the quantities $< x >_{u\pm d}$ within the framework of two-flavor baryon chiral perturbation theory and show estimates of these effects for the leading one-loop corrections based on fits carried out in previously published works.