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Title: Kaon distribution amplitude from QCD sum rules

Abstract

We present a new calculation of the first Gegenbauer moment a{sub 1}{sup K} of the kaon light cone distribution amplitude. This moment is determined by the difference between the average momenta of strange and nonstrange valence quarks in the kaon. To calculate a{sub 1}{sup K}, QCD sum rule for the diagonal correlation function of local and nonlocal axial-vector currents is used. Contributions of condensates up to dimension six are taken into account, including O({alpha}{sub s})-corrections to the quark-condensate term. We obtain a{sub 1}{sup K}=0.05{+-}0.02, differing by the sign and magnitude from the recent sum rule estimate from the nondiagonal correlation function of pseudoscalar and axial-vector currents. We argue that the nondiagonal sum rule is numerically not reliable. Furthermore, an independent indication for a positive a{sub 1}{sup K} is given, based on the matching of two different light cone sum rules for the K{yields}{pi} form factor. With the new interval of a{sub 1}{sup K}, we update our previous numerical predictions for SU(3)-violating effects in B{sub (s)}{yields}K form factors and charmless B decays.

Authors:
; ;  [1]
  1. Theoretische Physik 1, Fachbereich Physik, Universitaet Siegen, D-57068 Siegen (Germany)
Publication Date:
OSTI Identifier:
20705596
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 70; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.70.094002; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; AXIAL-VECTOR CURRENTS; B MESONS; CORRECTIONS; CORRELATION FUNCTIONS; DISTRIBUTION; FORM FACTORS; HADRONIC PARTICLE DECAY; KAONS; LIGHT CONE; PARTICLE PRODUCTION; PIONS; QUANTUM CHROMODYNAMICS; QUARK CONDENSATION; QUARKS; SU-3 GROUPS; SUM RULES; VALENCE

Citation Formats

Khodjamirian, A, Mannel, Th, and Melcher, M. Kaon distribution amplitude from QCD sum rules. United States: N. p., 2004. Web. doi:10.1103/PhysRevD.70.094002.
Khodjamirian, A, Mannel, Th, & Melcher, M. Kaon distribution amplitude from QCD sum rules. United States. https://doi.org/10.1103/PhysRevD.70.094002
Khodjamirian, A, Mannel, Th, and Melcher, M. 2004. "Kaon distribution amplitude from QCD sum rules". United States. https://doi.org/10.1103/PhysRevD.70.094002.
@article{osti_20705596,
title = {Kaon distribution amplitude from QCD sum rules},
author = {Khodjamirian, A and Mannel, Th and Melcher, M},
abstractNote = {We present a new calculation of the first Gegenbauer moment a{sub 1}{sup K} of the kaon light cone distribution amplitude. This moment is determined by the difference between the average momenta of strange and nonstrange valence quarks in the kaon. To calculate a{sub 1}{sup K}, QCD sum rule for the diagonal correlation function of local and nonlocal axial-vector currents is used. Contributions of condensates up to dimension six are taken into account, including O({alpha}{sub s})-corrections to the quark-condensate term. We obtain a{sub 1}{sup K}=0.05{+-}0.02, differing by the sign and magnitude from the recent sum rule estimate from the nondiagonal correlation function of pseudoscalar and axial-vector currents. We argue that the nondiagonal sum rule is numerically not reliable. Furthermore, an independent indication for a positive a{sub 1}{sup K} is given, based on the matching of two different light cone sum rules for the K{yields}{pi} form factor. With the new interval of a{sub 1}{sup K}, we update our previous numerical predictions for SU(3)-violating effects in B{sub (s)}{yields}K form factors and charmless B decays.},
doi = {10.1103/PhysRevD.70.094002},
url = {https://www.osti.gov/biblio/20705596}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 9,
volume = 70,
place = {United States},
year = {Mon Nov 01 00:00:00 EST 2004},
month = {Mon Nov 01 00:00:00 EST 2004}
}