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arXiv · 1506.00248

One-Loop Matching for Generalized Parton Distributions

Xiangdong Ji·Andreas Schäfer·Xiaonu Xiong·Jian-Hui Zhang
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Abstract

We present the one-loop matching condition for the unpolarized and polarized generalized quark distributions in the non-singlet case. The matching condition links the quasi distributions defined in terms of spacelike correlators at finite nucleon momentum to the light-cone distributions, and is useful for extracting the latter from the former in a lattice QCD calculation. Our results show that at one-loop and leading power accuracy the matching for the light-cone generalized quark distribution $H$ ($\tilde H$) is non-trivial, whereas no matching is required for $E$ ($\tilde E$). Therefore, $E$ ($\tilde E$) can be smoothly approached by its quasi counterpart in the large momentum limit. We also present the matching for the distribution amplitude of the pion.

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Xiangdong Ji, Andreas Schäfer, Xiaonu Xiong, Jian-Hui Zhang. 2015-05-31. One-Loop Matching for Generalized Parton Distributions. https://arxiv.org/abs/1506.00248

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