Color suppressed contribution to B{sub d}{sup 0}{yields}{pi}0{pi}{sup 0}

Journal Article · Tue Mar 01 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.054016· OSTI ID:21578192

Eeg, Jan O; Palmer, Teresa ^[1]

---

1. Department of Physics, University of Oslo, P.O.Box 1048 Blindern, N-0316 Oslo (Norway)

The decay modes of the type B{yields}{pi}{pi} are dynamically different. For the case B{sub d}{sup 0}{yields}{pi}{sup +}{pi}{sup -} there is a substantial factorized contribution which dominates. In contrast, the decay mode B{sub d}{sup 0}{yields}{pi}{sup 0}{pi}{sup 0} has a small factorized contribution, being proportional to a small Wilson coefficient combination. However, for the decay mode B{sub d}{sup 0}{yields}{pi}{sup 0}{pi}{sup 0} there is a sizeable nonfactorizable (color suppressed) contribution due to soft (long distance) interactions, which dominate the amplitude. We estimate the branching ratio for the mode B{sub d}{sup 0}{yields}{pi}{sup 0}{pi}{sup 0} in the heavy quark limit for the b quark. In order to estimate color suppressed contributions we treat the energetic light (u, d, s) quark within a variant of Large Energy Effective Theory combined with a recent extension of chiral quark models in terms of model- dependent gluon condensates. We find that our calculated color suppressed amplitude is suppressed by a factor of order {Lambda}{sub QCD}/m{sub b} with respect to the factorizable amplitude, as it should according to QCD-factorization. Further, for reasonable values of the constituent quark mass and the gluon condensate, the calculated nonfactorizable amplitude for B{sub d}{sup 0}{yields}{pi}{sup 0}{pi}{sup 0} can easily accommodate 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}. A possible link to the triangle anomaly is discussed.

• OSTI ID: 21578192
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 5; Other Information: DOI: 10.1103/PhysRevD.83.054016; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
B QUARKS
BRANCHING RATIO
C QUARKS
CHIRALITY
COLOR MODEL
FACTORIZATION
GLUON CONDENSATION
MASS
PARTICLE DECAY
PIONS MINUS
QUANTUM CHROMODYNAMICS
S QUARKS
T QUARKS
BEAUTY PARTICLES
BOSONS
CHARM PARTICLES
COMPOSITE MODELS
DECAY
DIMENSIONLESS NUMBERS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HADRONS
MATHEMATICAL MODELS
MESONS
PARTICLE MODELS
PARTICLE PROPERTIES
PIONS
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
STRANGE PARTICLES
TOP PARTICLES