Pion and Kaon Distribution Amplitudes from Lattice QCD
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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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Kaon Distribution Amplitudes from Euclidean Functional QCD
Kaon DA is single-peaked and asymmetric with moments ⟨ξ⟩_K = 0.020(3) and ⟨ξ²⟩_K = 0.253(12) after 1/P_z² and 1/P_z⁴ extrapolation of the quasi-DA.
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