A hybrid renormalization scheme for quasi light-front correlations in large-momentum effective theory

DOI10.1016/J.NUCLPHYSB.2021.115311zbMATH Open1476.81145arXiv2008.03886OpenAlexW3047640733MaRDI QIDQ2231848

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Publication date: 30 September 2021

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Abstract: In large-momentum effective theory (LaMET), calculating parton physics starts from calculating coordinate-space-$z$ correlation functions $ildeh(z,a,P^z)$ 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 $overlinemMS$ scheme, without introducing extra non-perturbative effects at large $z$. We analyze the effect of $calO(Lambd{a}_{mQCD})$ 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.

Full work available at URL: https://arxiv.org/abs/2008.03886

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