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arXiv · 2201.09173

Pion and Kaon Distribution Amplitudes from Lattice QCD

Jun Hua·Min-Huan Chu·Jin-Chen He·Xiangdong Ji·Andreas Schäfer·Yushan Su·Peng Sun·Wei Wang·Ji Xu·Yi-Bo Yang·Fei Yao·Jian-Hui Zhang·Qi-An Zhang
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Abstract

We present the 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 $a\approx\{0.06,0.09,0.12\}$ fm and physical pion and kaon masses, with the meson momenta $P_z = \{1.29,1.72,2.15\}$ GeV. The result is non-perturbatively renormalized in a recently proposed hybrid scheme with self renormalization, and extrapolated 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.

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Jun Hua, Min-Huan Chu, Jin-Chen He, Xiangdong Ji, Andreas Schäfer, Yushan Su, Peng Sun, Wei Wang, Ji Xu, Yi-Bo Yang, Fei Yao, Jian-Hui Zhang, Qi-An Zhang. 2022-01-23. Pion and Kaon Distribution Amplitudes from Lattice QCD. https://doi.org/10.1103/physrevlett.129.132001

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