Leading Power Accuracy in Lattice Calculations of Parton Distributions

Abstract

In lattice-QCD calculations of parton distribution functions (PDFs) via large-momentum effective theory, the leading power (twist-three) correction appears as $\mathcal{O}({\Lambda }_{\mathrm{QCD}}/P^z)$ due to the linear-divergent self-energy of Wilson line in quasi-PDF operators. For lattice data with hadron momentum $P^z$ of a few GeV, this correction is dominant in matching, as large as 30\% or more. We show how to eliminate this uncertainty through choosing the mass renormalization parameter consistently with the resummation scheme of the infrared-renormalon series in perturbative matching coefficients. An example on the lattice pion PDF data at $P^z=1.9$ GeV shows an improvement of matching accuracy by a factor of more than $3\sim 5$ in the expansion region $x=0.2\sim 0.5$.

Updated to version published on PLB

References in corpus (7)

• Parton distributions from LHC, HERA, Tevatron and fixed target data: MSHT20 PDFs
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• On the Renormalizability of Quasi Parton Distribution Functions
• Improved quasi parton distribution through Wilson line renormalization
• A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory
• Self-Renormalization of Quasi-Light-Front Correlators on the Lattice
• Superasymptotic and hyperasymptotic approximation to the operator product expansion

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• Lattice QCD Calculation of $x$-dependent Meson Distribution Amplitudes at Physical Pion Mass with Threshold Logarithm Resummation
• Renormalon cancellation and linear power correction to threshold-like asymptotics of space-like parton correlators
• Systematic Improvement of $x$-dependent Unpolarized Nucleon Generalized Parton Distribution in Lattice-QCD Calculation
• Lightcone and quasi distribution amplitudes for light octet and decuplet baryons
• Generalized parton distributions from the pseudo-distribution approach on the lattice
• Nucleon Helicity Parton Distribution Function in the Continuum Limit with Self-Renormalization
• Three-dimensional Imaging of Pion using Lattice QCD: Generalized Parton Distributions
• Power corrections to quasi-distribution amplitudes of a heavy meson
• Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• An analysis of parton distributions in a pion with Bézier parametrizations
• Renormalon effect of quasi-PDF in gradient flow formalism