Kaon Distribution Amplitude from Lattice QCD and the Flavor SU(3) Symmetry

Abstract

We present the first lattice-QCD calculation of the kaon distribution amplitude using the large-momentum effective theory (LaMET) approach. The momentum-smearing technique has been implemented to improve signals at large meson momenta. We subtract the power divergence due to Wilson line to high precision using multiple lattice spacings. The kaon structure clearly shows an asymmetry of the distribution amplitude around $x=1/2$, a clear sign of its skewness. We also study the leading SU(3) flavor symmetry breaking relations for the pion, kaon and eta meson distribution amplitudes, and the results are consistent with the prediction from chiral perturbation theory.

arXiv comment18 pages, 8 figures

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• Generalized quasi parton distributions in a diquark spectator model
• Parton distribution amplitudes: revealing diquarks in the proton and Roper resonance
• The role of zero-mode contributions in the matching for the twist-3 PDFs $e(x)$ and $h_L(x)$
• Light-cone distribution amplitudes of vector meson in large momentum effective theory
• Exploring twist-2 GPDs through quasi-distributions in a diquark spectator model
• Renormalization of Wilson-line operators in the presence of nonzero quark masses
• Matching the Quasi Meson Distribution Amplitude in RI/MOM scheme
• Pion and kaon valence quark distribution functions from Dyson-Schwinger equations
• Machine-Learning Prediction for Quasi-PDF Matrix Elements
• N* Structure and Strong QCD
• The quark quasi Sivers function and quasi Boer-Mulders function in a spectator diquark model