Kaon distribution amplitude from QCD sum rules

Journal Article · Mon Nov 01 04:00:00 EST 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.094002· OSTI ID:20705596

Khodjamirian, A; Mannel, Th; Melcher, M ^[1]

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1. Theoretische Physik 1, Fachbereich Physik, Universitaet Siegen, D-57068 Siegen (Germany)

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.

• OSTI ID: 20705596
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 70; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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