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Title: Moments of pseudoscalar meson distribution amplitudes from the lattice

Journal Article · · Physical Review. D, Particles Fields
;  [1]; ;  [2]; ;  [3]; ;  [4];  [5];  [4];  [6];  [7]
  1. Institut fuer Theoretische Physik, Universitaet Regensburg, 93040 Regensburg (Germany)
  2. School of Physics, University of Edinburgh, Edinburgh EH9 3JZ (United Kingdom)
  3. Institut fuer Theoretische Physik, Universitaet Leipzig, 04109 Leipzig (Germany)
  4. John von Neumann-Institut fuer Computing NIC / DESY, 15738 Zeuthen (Germany)
  5. Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX (United Kingdom)
  6. Germany
  7. Konrad-Zuse-Zentrum fuer Informationstechnik Berlin, 14195 Berlin (Germany)

Based on lattice simulations with two flavors of dynamical, O(a)-improved Wilson fermions we present results for the first two moments of the distribution amplitudes of pseudoscalar mesons at several values of the valence quark masses. By extrapolating our results to the physical masses of up/down and strange quarks, we find the first two moments of the K{sup +} distribution amplitude and the second moment of the {pi}{sup +} distribution amplitude. We use nonperturbatively determined renormalization coefficients to obtain results in the MS scheme. At a scale of 4 GeV{sup 2} we find a{sub 2}{sup {pi}}=0.201(114) for the second Gegenbauer moment of the pion's distribution amplitude, while for the kaon, a{sub 1}{sup K}=0.0453(9)(29) and a{sub 2}{sup K}=0.175(18)(47)

OSTI ID:
20871324
Journal Information:
Physical Review. D, Particles Fields, Vol. 74, Issue 7; Other Information: DOI: 10.1103/PhysRevD.74.074501; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
Country of Publication:
United States
Language:
English