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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
; | | Date: |
10 Aug 2020 | | Abstract: | In large-momentum effective theory (LaMET), calculating parton physics starts
from calculating coordinate-space-$z$ correlation functions $ ilde 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 $overline{
m MS}$ scheme, without introducing extra
non-perturbative effects at large $z$. We analyze the effect of ${cal
O}(Lambda_{
m QCD})$ ambiguity in the Wilson line self-energy subtraction
involved in this hybrid scheme. Beyond the extent of a lattice, we propose
extrapolating the data to a large asymptotic distance through Regge-type
behavior. We also propose to apply Bayesian constraints to avoid remnant
contributions in unphysical regions in the factorization reconstruction of
physical parton distributions. | | Source: | arXiv, 2008.03886 | | Services: | Forum | Review | PDF | Favorites | |
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