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Title: Non-leptonic decays in an extended chiral quark model

Abstract

We consider the color suppressed (nonfactorizable) amplitude for the decay mode B{sub d}{sup 0}{yields}{pi}{sup 0}{pi}{sup 0}. We treat the b-quark in the heavy quark limit and the energetic light (u,d,s) quarks within a variant of Large Energy Effective Theory combined with an extension of chiral quark models. Our calculated amplitude for B{sub d}{sup 0}{yields}{pi}{sup 0}{pi}{sup 0} is suppressed by a factor of order {Lambda}{sub QCD}/m{sub b} with respect to the factorized amplitude, as it should according to QCD-factorization. Further, for reasonable values of the (model dependent) gluon condensate and the constituent quark mass, the calculated nonfactorizable amplitude for B{sub d}{sup 0}{yields}{pi}{sup 0}{pi}{sup 0} can easily accomodate the experimental value. Unfortunately, the color suppressed amplitude is very sensitive to the values of these model dependent parameters. Therefore fine-tuning is necessary in order to obtain an amplitude compatible with the experimental result for B{sub d}{sup 0}{yields}{pi}{sup 0}{pi}{sup 0}.

Authors:
 [1]
  1. Dept. of Physics, Univ. of Oslo, P.O. Box 1048 Blindern, N-0316 Oslo (Norway)
Publication Date:
OSTI Identifier:
22075681
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1492; Journal Issue: 1; Conference: QCD-WORK 2012: International workshop on quantum chromodynamics: Theory and experiment, Lecce (Italy), 18-21 Jun 2012; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; B MESONS; B QUARKS; C QUARKS; CHIRAL SYMMETRY; CHIRALITY; COLOR MODEL; FACTORIZATION; GLUON CONDENSATION; GLUONS; HADRONIC PARTICLE DECAY; PIONS; QUANTUM CHROMODYNAMICS; REST MASS; S QUARKS; T QUARKS; WEAK HADRONIC DECAY

Citation Formats

Eeg, J. O. Non-leptonic decays in an extended chiral quark model. United States: N. p., 2012. Web. doi:10.1063/1.4763498.
Eeg, J. O. Non-leptonic decays in an extended chiral quark model. United States. doi:10.1063/1.4763498.
Eeg, J. O. Tue . "Non-leptonic decays in an extended chiral quark model". United States. doi:10.1063/1.4763498.
@article{osti_22075681,
title = {Non-leptonic decays in an extended chiral quark model},
author = {Eeg, J. O.},
abstractNote = {We consider the color suppressed (nonfactorizable) amplitude for the decay mode B{sub d}{sup 0}{yields}{pi}{sup 0}{pi}{sup 0}. We treat the b-quark in the heavy quark limit and the energetic light (u,d,s) quarks within a variant of Large Energy Effective Theory combined with an extension of chiral quark models. Our calculated amplitude for B{sub d}{sup 0}{yields}{pi}{sup 0}{pi}{sup 0} is suppressed by a factor of order {Lambda}{sub QCD}/m{sub b} with respect to the factorized amplitude, as it should according to QCD-factorization. Further, for reasonable values of the (model dependent) gluon condensate and the constituent quark mass, the calculated nonfactorizable amplitude for B{sub d}{sup 0}{yields}{pi}{sup 0}{pi}{sup 0} can easily accomodate the experimental value. Unfortunately, the color suppressed amplitude is very sensitive to the values of these model dependent parameters. Therefore fine-tuning is necessary in order to obtain an amplitude compatible with the experimental result for B{sub d}{sup 0}{yields}{pi}{sup 0}{pi}{sup 0}.},
doi = {10.1063/1.4763498},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1492,
place = {United States},
year = {2012},
month = {10}
}