Pion and Kaon Distribution Amplitudes from Lattice QCD
Jun Hua, Min-Huan Chu, Fangcheng He, Jin-Chen He, Xiangdong Ji, Andreas Schäfer, Yushan Su, Peng Sun, Wei Wang, J. Xu, Yi-Bo Yang, Fei Yao, Jian-Hui Zhang, Qi-An Zhang
Abstract
We present a state-of-the-art lattice QCD calculation of the pion and kaon light-cone distribution amplitudes (DAs) using large-momentum effective theory. The calculation is done at three lattice spacings a≈{0.06,0.09,0.12} fm and physical pion and kaon masses, with the meson momenta P_{z}={1.29,1.72,2.15} GeV. The result is nonperturbatively renormalized in a recently proposed hybrid scheme with self-renormalization, and extrapolated reliably to the continuum as well as the infinite momentum limit. We find a significant deviation of the pion and kaon DAs from the asymptotic form, and a large SU(3) flavor breaking effect in the kaon DA.