Lattice QCD Calculation of $x$-dependent Meson Distribution Amplitudes at Physical Pion Mass with Threshold Logarithm Resummation

Abstract

We present a lattice quantum chromodynamics (QCD) calculation of the $x$-dependent pion and kaon distribution amplitudes (DA) in the framework of large momentum effective theory. This calculation is performed on a fine lattice of $a=0.076$ fm at physical pion mass, with the pion boosted to $1.8$ GeV and kaon boosted to $2.3$ GeV. We renormalize the matrix elements in the hybrid scheme and match to $\overline{\mathrm{MS}}$ with a subtraction of the leading renormalon in the Wilson-line mass. The perturbative matching is improved by resumming the large logarithms related to the small quark and gluon momenta in the soft-gluon limit. After resummation, we demonstrate that we are able to calculate a range of $x\in [x_0,1-x_0]$ with $x_0=0.25$ for pion and $x_0=0.2$ for kaon with theoretical systematic errors under control. The kaon DA is shown to be slighted skewed, and narrower than pion DA. Although the $x$-dependence cannot be direct calculated beyond these ranges, we estimate higher moments of the pion and kaon DAs by complementing our calculation with short-distance factorization.

arXiv commentUpdate to the published version in PRD

References in corpus (66)

• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Factorization for hard exclusive electroproduction of mesons in QCD
• Parton Physics on Euclidean Lattice
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• FLAG Review 2021
• The Belle II Physics Book
• Solving Lattice QCD systems of equations using mixed precision solvers on GPUs
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Measurement of the gamma gamma* --> pi0 transition form factor
• Imaging dynamical chiral symmetry breaking: pion wave function on the light front
• Large-Momentum Effective Theory
• Novel quark smearing for hadrons with high momenta in lattice QCD
• Exclusive processes in position space and the pion distribution amplitude
• A complete non-perturbative renormalization prescription for quasi-PDFs
• Branching ratios and direct CP asymmetries in $D\to PP$ decays
• Determination of the bottom quark mass from the ${\rm Y}(1S)$ system
• Perturbative Renormalization of quasi-PDFs
• On the Renormalizability of Quasi Parton Distribution Functions
• Deep-inelastic scattering and the operator product expansion in lattice QCD
• Renormalization in Large Momentum Effective Theory of Parton Physics
• Pion Distribution Amplitude from Lattice QCD
• Moments of pseudoscalar meson distribution amplitudes from the lattice
• Nonperturbative renormalization of nonlocal quark bilinears for quasi-PDFs on the lattice using an auxiliary field
• Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD
• Covariant approximation averaging
• Valence parton distribution function of pion from fine lattice
• Improved quasi parton distribution through Wilson line renormalization
• Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme
• Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
• Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects
• Meson Screening Masses in (2+1)-Flavor QCD
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory
• Adaptive Multigrid Algorithm for Lattice QCD
• Pion and Kaon Distribution Amplitudes from Lattice QCD
• Second Moment of the Pion Light-cone Distribution Amplitude from Lattice QCD
• Pion and Kaon Distribution Amplitudes in the Continuum Limit
• Pion distribution amplitude from Euclidean correlation functions
• Self-Renormalization of Quasi-Light-Front Correlators on the Lattice
• Perturbative expansion of the energy of static sources at large orders in four-dimensional SU(3) gauge theory
• Isovector parton distribution functions of the proton on a superfine lattice
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks
• Generalized Parton Distributions and Pseudo-Distributions
• Three-loop evolution equation for flavor-nonsinglet operators in off-forward kinematics
• Lattice QCD Determination of the Bjorken-$x$ Dependence of Parton Distribution Functions at Next-to-next-to-leading Order
• Continuum-extrapolated NNLO Valence PDF of Pion at the Physical Point
• Distribution Amplitudes of $K^{\ast }$ and $\varphi$ at Physical Pion Mass from Lattice QCD
• Possible resolution of the B -> pi pi, pi K puzzles
• Origin and Resummation of Threshold Logarithms in the Lattice QCD Calculations of PDFs
• Flavour symmetry breaking in the kaon parton distribution amplitude
• Resumming Quark's Longitudinal Momentum Logarithms in LaMET Expansion of Lattice PDFs
• The Second Moment of the Pion Light Cone Wave Function
• Leading Power Accuracy in Lattice Calculations of Parton Distributions
• Light-cone distribution amplitudes of vector meson in large momentum effective theory
• Matching the Quasi Meson Distribution Amplitude in RI/MOM scheme
• Precision Control in Lattice Calculation of $x$-dependent Pion Distribution Amplitude
• Second moment of the pion distribution amplitude with the momentum smearing technique
• Threshold resummation for computing large-$x$ parton distribution through large-momentum effective theory
• The axial-vector contributions in two-photon reactions: pion transition form factor and deeply-virtual Compton scattering at NNLO in QCD
• Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the second moment of the pion distribution amplitude
• QCD Predictions for Meson Electromagnetic Form Factors at High Momenta: Testing Factorization in Exclusive Processes
• Lattice QCD calculation of the pion distribution amplitude with domain wall fermions at physical pion mass
• Renormalon cancellation and linear power correction to threshold-like asymptotics of space-like parton correlators
• Parton Distribution in Pseudoscalar Mesons with a Light-Front Constituent Quark Model

Cited by in corpus (5)

• 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
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• Moments from Momentum Derivatives in Lattice QCD