Charmless final state interaction in B{yields}{pi}{pi} decays

Journal Article · Thu Dec 01 00:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.114001· OSTI ID:20774421

Fajfer, S ^[1]; Pham, T N ^[2]; Prapotnik-Brdnik, A ^[1]

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1. Department of Physics, University of Ljubljana, Jadranska 19, 1000 Ljubljana (Slovenia)
2. Centre de Physique Teorique, Centre National de la Recherche Scientifique, UMR 7644, Ecole Polytechnique, 91128 Palaiseau Cedex (France)

We estimate effects of the final state interactions in B{yields}{pi}{pi} decays coming from rescattering of {pi}{pi} via exchange of {rho}, {sigma},f{sub 0} mesons. Then we include the {rho}{rho} rescattering via exchange of {pi}, {omega}, a{sub 1} mesons and finally we consider contributions of the a{sub 1}{pi} rescattering via exchange of {rho}. The absorptive parts of amplitudes for these processes are determined. In the case of {pi}{sup +}{pi}{sup -} decay mode, due to model uncertainties, the calculated contribution is M{sub A}{<=}1.7x10{sup -8} GeV. This produces a small relative strong phase for the tree and color-suppressed B{yields}{pi}{pi} amplitudes consistent with the result of a recent phenomenological analysis based on the BABAR and Belle results for the B{yields}{pi}{pi} branching ratios and CP asymmetries.

• OSTI ID: 20774421
• Journal Information: Physical Review. D, Particles Fields, Vol. 72, Issue 11; Other Information: DOI: 10.1103/PhysRevD.72.114001; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ASYMMETRY
B MESONS
BRANCHING RATIO
COLOR MODEL
CP INVARIANCE
FINAL-STATE INTERACTIONS
GEV RANGE
HADRONIC PARTICLE DECAY
OMEGA-782 MESONS
PERIPHERAL MODELS
PIONS MINUS
PIONS PLUS
RESCATTERING
RHO-770 MESONS
STRONG INTERACTIONS