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arXiv · 1706.01295

Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD

Jiunn-Wei Chen·Tomomi Ishikawa·Luchang Jin·Huey-Wen Lin·Yi-Bo Yang·Jian-Hui Zhang·Yong Zhao
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Abstract

We present lattice results for the isovector unpolarized parton distribution with nonperturbative RI/MOM-scheme renormalization on the lattice. In the framework of large-momentum effective field theory (LaMET), the full Bjorken-$x$ dependence of a momentum-dependent quasi-distribution is calculated on the lattice and matched to the ordinary lightcone parton distribution at one-loop order, with power corrections included. The important step of RI/MOM renormalization that connects the lattice and continuum matrix elements is detailed in this paper. A few consequences of the results are also addressed here.

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Jiunn-Wei Chen, Tomomi Ishikawa, Luchang Jin, Huey-Wen Lin, Yi-Bo Yang, Jian-Hui Zhang, Yong Zhao. 2017-06-05. Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD. https://doi.org/10.1103/physrevd.97.014505

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