Precision control in lattice calculation of x-dependent pion distribution amplitude

We present a new Bjorken x-dependence analysis of previous lattice quantum chromodynamics data for the pion distribution amplitude from MILC configurations with three spacing a=0.06,0.09,0.12 fm. A leading renormalon resummation in renormalization as well perturbative matching kernel framework large momentum expansion generates power accuracy to light-cone amplitude. Meanwhile, small log is implemented both quark xPz and antiquark (1−x)Pz inside meson boost Pz up 1.72 GeV along z direction, allowing us have more accurate determination middle range. Finally, we use complementarity between short-distance factorization constrain endpoint regions x∼0,1, thus obtaining full-range