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Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD

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arxiv 1706.01295 v4 pith:BAQZEG5O submitted 2017-06-05 hep-lat hep-phnucl-th

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 This is my paper
classification hep-lat hep-phnucl-th
keywords latticedistributionpartonrenormalizationresultsaddressedbjorken-calculated
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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