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arXiv · 2008.03886

A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory

Xiangdong Ji·Yizhuang Liu·Andreas Schäfer·Wei Wang·Yi-Bo Yang·Jian-Hui Zhang·Yong Zhao
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Abstract

In large-momentum effective theory (LaMET), calculating parton physics starts from calculating coordinate-space-$z$ correlation functions $\tilde h(z, a,P^z)$ in a hadron of momentum $P^z$ in lattice QCD. Such correlation functions involve both linear and logarithmic divergences in lattice spacing $a$, and thus need to be properly renormalized. We introduce a hybrid renormalization procedure to match these lattice correlations to those in the continuum $\overline{\rm MS}$ scheme, without introducing extra non-perturbative effects at large $z$. We analyze the effect of ${\cal O}(\Lambda_{\rm QCD})$ ambiguity in the Wilson line self-energy subtraction involved in this hybrid scheme. To obtain the momentum-space distributions, we recommend to extrapolate the lattice data to the asymptotic $z$-region using the generic properties of the coordinate space correlations at moderate and large $P^z$, respectively.

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Xiangdong Ji, Yizhuang Liu, Andreas Schäfer, Wei Wang, Yi-Bo Yang, Jian-Hui Zhang, Yong Zhao. 2020-08-10. A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory. https://doi.org/10.1016/j.nuclphysb.2021.115311

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