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

• DOI: 10.1007/jhep07(2024)211
• Publication Date: 2024-07-24T12:03:53Z
• Authors: Ethan Baker; Dennis Bollweg; Peter Boyle; Ian Cloët; Xiang Gao; Swagato Mukherjee; Peter Petreczky; Rui Zhang; Yong Zhao
• Keywords: Lattice (music)

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