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 xPz and the antiquark momentum (1−x)Pz inside a meson of boost momentum Pz 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∼0,1, thus obtaining the full-range x-dependence of the amplitude.
@article{arxiv.2301.10372,
title = {Precision Control in Lattice Calculation of $x$-dependent Pion Distribution Amplitude},
author = {Jack Holligan and Xiangdong Ji and Huey-Wen Lin and Yushan Su and Rui Zhang},
journal= {arXiv preprint arXiv:2301.10372},
year = {2023}
}