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Title: Anomalous Enhancement of a Penguin Hadronic Matrix Element in B{yields}K{eta}{sup '}

Abstract

We estimate the density matrix element for the {pi}{sup 0}, {eta}, and {eta}{sup '} production from the vacuum in the large-N{sub c} limit. As a consequence, we find that the QCD axial anomaly leads to highly nontrivial corrections to the usual flavor SU(3) relations between B{sup 0}{yields}K{sup 0}{pi}{sup 0}, B{sup 0}{yields}K{sup 0}{eta}, and B{sup 0}{yields}K{sup 0}{eta}{sup '} decay amplitudes. These corrections may explain why the B{yields}K{eta}{sup '} branching ratio is about 6 times larger than the B{yields}K{pi} one.

Authors:
;  [1]
  1. Institut de Physique Theorique and Centre for Particle Physics and Phenomenology (CP3) Universite Catholique de Louvain, Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve (Belgium)
Publication Date:
OSTI Identifier:
20861540
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 97; Journal Issue: 26; Other Information: DOI: 10.1103/PhysRevLett.97.261804; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; B NEUTRAL MESONS; BRANCHING RATIO; DECAY AMPLITUDES; DENSITY MATRIX; ETA MESONS; FLAVOR MODEL; KAONS NEUTRAL; MATRIX ELEMENTS; PARTICLE DECAY; PARTICLE PRODUCTION; PIONS NEUTRAL; QUANTUM CHROMODYNAMICS; SU-3 GROUPS

Citation Formats

Gerard, J.-M., and Kou, E.. Anomalous Enhancement of a Penguin Hadronic Matrix Element in B{yields}K{eta}{sup '}. United States: N. p., 2006. Web. doi:10.1103/PHYSREVLETT.97.261804.
Gerard, J.-M., & Kou, E.. Anomalous Enhancement of a Penguin Hadronic Matrix Element in B{yields}K{eta}{sup '}. United States. doi:10.1103/PHYSREVLETT.97.261804.
Gerard, J.-M., and Kou, E.. Sun . "Anomalous Enhancement of a Penguin Hadronic Matrix Element in B{yields}K{eta}{sup '}". United States. doi:10.1103/PHYSREVLETT.97.261804.
@article{osti_20861540,
title = {Anomalous Enhancement of a Penguin Hadronic Matrix Element in B{yields}K{eta}{sup '}},
author = {Gerard, J.-M. and Kou, E.},
abstractNote = {We estimate the density matrix element for the {pi}{sup 0}, {eta}, and {eta}{sup '} production from the vacuum in the large-N{sub c} limit. As a consequence, we find that the QCD axial anomaly leads to highly nontrivial corrections to the usual flavor SU(3) relations between B{sup 0}{yields}K{sup 0}{pi}{sup 0}, B{sup 0}{yields}K{sup 0}{eta}, and B{sup 0}{yields}K{sup 0}{eta}{sup '} decay amplitudes. These corrections may explain why the B{yields}K{eta}{sup '} branching ratio is about 6 times larger than the B{yields}K{pi} one.},
doi = {10.1103/PHYSREVLETT.97.261804},
journal = {Physical Review Letters},
number = 26,
volume = 97,
place = {United States},
year = {Sun Dec 31 00:00:00 EST 2006},
month = {Sun Dec 31 00:00:00 EST 2006}
}
  • We report measurements of charmless hadronic B{sup 0} decays into the {pi}{sup +}{pi}{sup -}K{sup +}{pi}{sup -} final state. The analysis uses a sample of 657x10{sup 6} BB pairs collected with the Belle detector at the KEKB asymmetric-energy e{sup +}e{sup -} collider at the resonance. The decay B{sup 0}{yields}{rho}{sup 0}K{sup +}{pi}{sup -} is observed for the first time; the significance is 5.0{sigma} and the corresponding partial branching fraction for M{sub K{pi}} is an element of (0.75,1.20) GeV/c{sup 2} is [2.8{+-}0.5(stat){+-}0.5(syst)]x10{sup -6}. We also obtain the first evidence for B{sup 0}{yields}f{sub 0}(980)K{sup +}{pi}{sup -} with 3.5{sigma} significance and for B{sup 0}{yields}{pi}{sup +}{pi}{supmore » -}K*{sup 0} with 4.5{sigma} significance. For the two-body decays B{sup 0}{yields}{rho}{sup 0}K*{sup 0} and B{sup 0}{yields}f{sub 0}(980)K*{sup 0}, the significances are 2.7{sigma} and 2.5{sigma}, respectively, and the upper limits on the branching fractions are 3.4x10{sup -6} and 2.2x10{sup -6} at 90% confidence level.« less
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