Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry

Zhang, Rui (Department of Physics and Astronomy, Michigan State University, East Lansing, MI, 48824, USA) (Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China) (School of Physical Sciences, University of Chinese Academy of Sciences, No. 19A Yuquan Road, Beijing, 100049, China) ; Chen, Jiunn-Wei (Department of Physics, Center for Theoretical Physics, Leung Center for Cosmology and Particle Astrophysics, National Taiwan University, Taipei, 106, Taiwan) ; Jin, Luchang (Physics Department, University of Connecticut, Storrs, CT, 06269-3046, USA) (RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, NY, 11973, USA) ; Lin, Huey-Wen (Department of Physics and Astronomy, Michigan State University, East Lansing, MI, 48824, USA) (Department of Computational Mathematics, Michigan State University, East Lansing, MI, 48824, USA) ; Schäfer, Andreas (Institut für Theoretische Physik, Universität Regensburg, Regensburg, D-93040, Germany) ; Sun, Peng (Department of Physics and Astronomy, Michigan State University, East Lansing, MI, 48824, USA) ; Yang, Yi-Bo (Department of Physics and Astronomy, Michigan State University, East Lansing, MI, 48824, USA) ; Zhang, Jian-Hui (Institut für Theoretische Physik, Universität Regensburg, Regensburg, D-93040, Germany) ; Zhao, Yong (Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA)

21 December 2018

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. Our result also prefers a broader distribution than the asymptotic form. 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.


Published in: Nuclear Physics B 939 (2019) 429-446
Published by: Elsevier
DOI: 10.1016/j.nuclphysb.2018.12.020
License: CC-BY-3.0



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