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arXiv:1310.7471·v1·High Energy Physics — Phenomenology

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

Xiaonu Xiong🇨🇳 · Xiangdong Ji🇨🇳 · Jian-Hui Zhang🇨🇳 · Yong Zhao🇺🇸

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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.

Comments: 10 pages, 1 figure

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