Twist-two matrix elements at finite and infinite volume

William Detmold*, Chi-Jen Lin

*Corresponding author for this work

Research output: Contribution to journalArticle

53 Scopus citations

Abstract

We present one-loop results for the forward twist-two matrix elements relevant to the unpolarized, helicity and transversity baryon structure functions, in partially-quenched (Nf = 2 and Nf = 2 + 1) heavy baryon chiral perturbation theory. The full-QCD limit can be straightforwardly obtained from these results and we also consider SU(2/2) quenched QCD. Our calculations are performed in finite volume as well as in infinite-volume. We discuss features of lattice simulations and investigate finite volume effects in detail. We find that volume effects are not negligible, typically around 5%-10% in current partially-quenched and full-QCD calculations, and are possibly larger in quenched QCD. Extensions to the off-forward matrix elements and potential difficulties that occur there are also discussed.

Original languageEnglish
Article number054510
Pages (from-to)1-31
Number of pages31
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume71
Issue number5
DOIs
StatePublished - 1 Mar 2005

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