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Self-Renormalization of Quasi-Light-Front Correlators on the Lattice

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arxiv 2103.02965 v1 pith:6G6C6XVP submitted 2021-03-04 hep-lat hep-ph

Self-Renormalization of Quasi-Light-Front Correlators on the Lattice

Yi-Kai Huo , Yushan Su , Long-Cheng Gui , Xiangdong Ji , Yuan-Yuan Li , Yizhuang Liu , Andreas Sch\"afer , Maximilian Schlemmer
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Peng Sun Wei Wang Yi-Bo Yang Jian-Hui Zhang Kuan Zhang
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classification hep-lat hep-ph
keywords renormalizationelementslatticematrixcorrelatorsfactorsmoreoverprocedure
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In applying large-momentum effective theory, renormalization of the Euclidean correlators in lattice regularization is a challenge due to linear divergences in the self-energy of Wilson lines. Based on lattice QCD matrix elements of the quasi-PDF operator at lattice spacing $a$= 0.03 fm $\sim$ 0.12 fm with clover and overlap valence quarks on staggered and domain-wall sea, we design a strategy to disentangle the divergent renormalization factors from finite physics matrix elements, which can be matched to a continuum scheme at short distance such as dimensional regularization and minimal subtraction. Our results indicate that the renormalization factors are universal in the hadron state matrix elements. Moreover, the physical matrix elements appear independent of the valence fermion formulations. These conclusions remain valid even with HYP smearing which reduces the statistical errors albeit reducing control of the renormalization procedure. Moreover, we find a large non-perturbative effect in the popular RI/MOM and ratio renormalization scheme, suggesting favor of the hybrid renormalization procedure proposed recently.

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