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 $x=0.5$.

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• Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD
• Power corrections to quasi-distribution amplitudes of a heavy meson
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• 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