Precision Control in Lattice Calculation of $x$-dependent Pion Distribution Amplitude

Abstract

We present a new Bjorken $x$-dependence analysis of a previous lattice quantum chromodynamics data for the pion distribution amplitude from MILC configurations with three lattice spacing $a=0.06,0.09,0.12$~fm. A leading renormalon resummation in renormalization as well as the perturbative matching kernel in the framework of large momentum expansion generates the power accuracy of the matching to the light-cone amplitude. Meanwhile, a small momentum log resummation is implemented for both the quark momentum $x{P}_z$ and the antiquark momentum $(1-x)P_z$ inside a meson of boost momentum $P_z$ up to 1.72 GeV along the $z$ direction, allowing us to have more accurate determination of the $x$-dependence in the middle range. Finally, we use the complementarity between the short-distance factorization and the large momentum expansion to constrain the endpoint regions $x\sim 0,1$, thus obtaining the full-range $x$-dependence of the amplitude.

Update to the published version in NPB

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Cited by in corpus (14)

• Lattice QCD calculation of the pion distribution amplitude with domain wall fermions at physical pion mass
• Lattice QCD Calculation of $x$-dependent Meson Distribution Amplitudes at Physical Pion Mass with Threshold Logarithm Resummation
• Systematic Improvement of $x$-dependent Unpolarized Nucleon Generalized Parton Distribution in Lattice-QCD Calculation
• 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
• Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD
• Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness
• Mapping Parton Distributions of Hadrons with Lattice QCD
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks at Nonzero Skewness
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• A Unified Neural-Network Framework for Nucleon Imaging from Numerical Simulations of QCD
• Moments from Momentum Derivatives in Lattice QCD
• An analysis of parton distributions in a pion with Bézier parametrizations