Chiral expansion of moments of quark distributions

A.W. Thomas; P.E. Shanahan; R.D. Young

Chiral expansion of moments of quark distributions

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arxiv 1301.6861 v2 pith:4N5QEESA submitted 2013-01-29 nucl-th hep-lathep-ph

P.E. Shanahan , A.W. Thomas , R.D. Young This is my paper · ORCID

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keywords chiralextrapolationmomentsdistributionsfirstflavorformulaelattice

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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.

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Hadrons in group expansion
hep-ph 2025-06 conditional novelty 4.0 of 10

Ground-state baryon masses are parametrized by mixing SU(4) flavor representations, with estimated Sigma_c being 72% 20M and 28% 20S, and Xi_c being 90% anti-triplet and 10% sextet.

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