Chiral expansion of moments of quark distributions

TL;DR

This paper develops chiral extrapolation formulae for moments of quark distributions in octet baryons, incorporating loop corrections and isospin breaking, to aid lattice QCD data analysis.

Contribution

It provides new chiral extrapolation formulae including loop corrections and isospin breaking effects for lattice QCD results on quark distribution moments.

Findings

Extrapolation formulae successfully applied to lattice QCD data.

Inclusion of loop corrections improves accuracy of chiral extrapolation.

Framework accommodates both (2+1) and (1+1+1) flavor lattice results.

Abstract

We present formulae for the chiral extrapolation of spin-dependent and spin-independent moments of quark distributions of octet baryons, including loop corrections and counterterms to leading non-analytic order. This analysis allows for isospin breaking, and may be used for the chiral extrapolation of both (2+1)- and (1+1+1)-flavor lattice QCD results. An example of such an application is given, with the extrapolation formulae applied to recent (2 + 1)-flavor QCDSF/UKQCD Collaboration lattice results for the first spin-independent and first two spin-dependent Mellin moments.