One-Loop Matching for Parton Distributions: Non-Singlet Case

Abstract

We derive one-loop matching condition for non-singlet quark distributions in transverse-momentum cut-off scheme, including unpolarized, helicity and transversity distributions. The matching is between the quasi-distribution defined by static correlation at finite nucleon momentum and the light-cone distribution measurable in experiments. The result is useful for extracting the latter from the former in a lattice QCD calculation.

10 pages, 1 figure

References in corpus (4)

• Parton distributions for the LHC
• Parton Physics on Euclidean Lattice
• Physics of Gluon Helicity Contribution to Proton Spin
• Gluon Helicity Delta G from a Universality Class of Operators on a Lattice

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