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Matching the Quasi Meson Distribution Amplitude in RI/MOM scheme

High Energy Physics - Phenomenology 2019-06-05 v1 High Energy Physics - Lattice Nuclear Theory

Abstract

The xx-dependence of light-cone distribution amplitude (LCDA) can be directly calculated from a quasi distribution amplitude (DA) in lattice QCD within the framework of large-momentum effective theory (LaMET). In this paper, we study the one-loop renormalization of the quasi-DA in the regularization-independent momentum subtraction (RI/MOM) scheme. The renormalization factor for the quasi parton distribution function can be used to renormalize the quasi-DA provided that they are implemented on lattice and in perturbation theory in the same manner. We derive the one-loop matching coefficient that matches quasi-DA in the RI/MOM scheme onto LCDA in the MS\overline{\rm MS} scheme. Our result provides the crucial step to extract the LCDAs from lattice matrix elements of quasi-DAs.

Keywords

Cite

@article{arxiv.1810.10879,
  title  = {Matching the Quasi Meson Distribution Amplitude in RI/MOM scheme},
  author = {Yu-Sheng Liu and Wei Wang and Ji Xu and Qi-An Zhang and Shuai Zhao and Yong Zhao},
  journal= {arXiv preprint arXiv:1810.10879},
  year   = {2019}
}

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7 pages, 0 figures