Lattice QCD calculation of the pion distribution amplitude with domain wall fermions at physical pion mass

Abstract

We present a direct lattice QCD calculation of the $x$-dependence of the pion distribution amplitude (DA), which is performed using the quasi-DA in large momentum effective theory on a domain-wall fermion ensemble at physical quark masses and spacing $a\approx 0.084$ fm. The bare quais-DA matrix elements are renormalized in the hybrid scheme and matched to $\overline{\mathrm{MS}}$ with a subtraction of the leading renormalon in the Wilson-line mass. For the first time, we include threshold resummation in the perturbative matching onto the light-cone DA, which resums the large logarithms in the soft gluon limit at next-to-next-to-leading log. The resummed results show controlled scale-variation uncertainty within the range of momentum fraction $x\in [0.25,0.75]$ at the largest pion momentum $P_z\approx 1.85$~GeV. In addition, we apply the same analysis to quasi-DAs from a highly-improved-staggered-quark ensemble at physical pion mass and $a=0.076$ fm. By comparison we find with $2\sigma$ confidence level that the DA obtained from chiral fermions is flatter and lower near $x=0.5$.

update to match the version published in journal

References in corpus (26)

• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• The five-loop beta function of Yang-Mills theory with fermions
• Exclusive processes in position space and the pion distribution amplitude
• A complete non-perturbative renormalization prescription for quasi-PDFs
• On the Renormalizability of Quasi Parton Distribution Functions
• The Quark Beam Function at NNLL
• Moments of pseudoscalar meson distribution amplitudes from the lattice
• Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD
• Improved quasi parton distribution through Wilson line renormalization
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Pion and Kaon Distribution Amplitudes from Lattice QCD
• Self-Renormalization of Quasi-Light-Front Correlators on the Lattice
• Generalized Parton Distributions and Pseudo-Distributions
• Lattice QCD Determination of the Bjorken-$x$ Dependence of Parton Distribution Functions at Next-to-next-to-leading Order
• Origin and Resummation of Threshold Logarithms in the Lattice QCD Calculations of PDFs
• Computing Light-Front Wave Functions Without Light-Front Quantization: A Large-Momentum Effective Theory Approach
• Resumming Quark's Longitudinal Momentum Logarithms in LaMET Expansion of Lattice PDFs
• Leading Power Accuracy in Lattice Calculations of Parton Distributions
• 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
• Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the second moment of the pion distribution amplitude
• Renormalon cancellation and linear power correction to threshold-like asymptotics of space-like parton correlators
• Quasi Transverse Momentum Dependent Distributions at Next-to-Next-to-Leading order
• Towards studying the structural differences between the pion and its radial excitation
• Extending the application of the LCSR method to low momenta using QCD renormalization-group summation. Theory and phenomenology

Cited by in corpus (8)

• QCD Predictions for Meson Electromagnetic Form Factors at High Momenta: Testing Factorization in Exclusive Processes
• Lattice QCD Calculation of $x$-dependent Meson Distribution Amplitudes at Physical Pion Mass with Threshold Logarithm Resummation
• Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD
• Power corrections to quasi-distribution amplitudes of a heavy meson
• Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness
• Probing heavy meson lightcone distribution amplitudes with heavy quark spin symmetry
• Mapping Parton Distributions of Hadrons with Lattice QCD
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem