Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD

An Addendum to this article is available


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: \( {a}_2^{\pi }={0.101}_{-24}^{+24} \) for the pion; \( {a}_1^K={0.0533}_{-35}^{+34} \) and \( {a}_2^K={0.090}_{-20}^{+19} \) for the kaon. The calculation is carried out on 35 different CLS ensembles with Nf = 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.

A preprint version of the article is available at ArXiv.


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Bali, G.S., Braun, V.M., Bürger, S. et al. Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD. J. High Energ. Phys. 2019, 65 (2019).

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  • Lattice QCD
  • Nonperturbative Effects
  • Kaon Physics