4.8 Article

Pion Distribution Amplitude from Lattice QCD

Journal

PHYSICAL REVIEW LETTERS
Volume 111, Issue 9, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.111.092001

Keywords

-

Funding

  1. Department of Energy, Office of Nuclear Physics [DE-AC02-06CH11357]
  2. Forschungszentrum Julich GmbH
  3. National Science Foundation [NSF-PHY1206187]

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A method is explained through which a pointwise accurate approximation to the pion's valence-quark distribution amplitude (PDA) may be obtained from a limited number of moments. In connection with the single nontrivial moment accessible in contemporary simulations of lattice-regularized QCD, the method yields a PDA that is a broad concave function whose pointwise form agrees with that predicted by Dyson-Schwinger equation analyses of the pion. Under leading-order evolution, the PDA remains broad to energy scales in excess of 100 GeV, a feature which signals persistence of the influence of dynamical chiral symmetry breaking. Consequently, the asymptotic distribution phi(asy)(pi)(x) is a poor approximation to the pion's PDA at all such scales that are either currently accessible or foreseeable in experiments on pion elastic and transition form factors. Thus, related expectations based on phi(asy)(pi)(x)should be revised.

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