Precision Control in Lattice Calculation of -dependent Pion Distribution Amplitude
Jack Holligan🇺🇸 · Xiangdong Ji🇺🇸 · Huey-Wen Lin🇺🇸 · Yushan Su🇺🇸 · Rui Zhang🇺🇸
We present a new Bjorken -dependence analysis of a previous lattice quantum chromodynamics data for the pion distribution amplitude from MILC configurations with three lattice spacing ~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 and the antiquark momentum inside a meson of boost momentum up to 1.72 GeV along the direction, allowing us to have more accurate determination of the -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 , thus obtaining the full-range -dependence of the amplitude.