Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD

Abstract We present the first lattice determination of the two lowest Gegenbauer moments of the leading-twist pion and kaon light-cone distribution amplitudes with full control of all errors: a 2 π = 0.101 − 24 + 24 $$ {a}_2^{\pi }={0.101}_{-24}^{+24} $$ for the pion; a 1 K = 0.0533 − 35 + 34 $$ {a}...

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Bibliographic Details
Main Authors: Gunnar S. Bali, Vladimir M. Braun, Simon Bürger, Meinulf Göckeler, Michael Gruber, Fabian Hutzler, Piotr Korcyl, Andreas Schäfer, André Sternbeck, Philipp Wein, on behalf of the RQCD collaboration
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Journal of High Energy Physics
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Online Access:http://link.springer.com/article/10.1007/JHEP08(2019)065
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Summary:Abstract We present the first lattice determination of the two lowest Gegenbauer moments of the leading-twist pion and kaon light-cone distribution amplitudes with full control of all errors: a 2 π = 0.101 − 24 + 24 $$ {a}_2^{\pi }={0.101}_{-24}^{+24} $$ for the pion; a 1 K = 0.0533 − 35 + 34 $$ {a}_1^K={0.0533}_{-35}^{+34} $$ and a 2 K = 0.090 − 20 + 19 $$ {a}_2^K={0.090}_{-20}^{+19} $$ for the kaon. The calculation is carried out on 35 different CLS ensembles with N f = 2 + 1 flavors of dynamical Wilson-clover fermions. These cover a multitude of pion and kaon mass combinations (including the physical point) and 5 different lattice spacings down to a = 0.039 fm. The momentum smearing technique and a new operator basis are employed to reduce statistical fluctuations and to improve the overlap with the ground states. The results are obtained from a combined chiral and continuum limit extrapolation that includes three separate trajectories in the quark mass plane.
ISSN:1029-8479