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

Abstract

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.

Authors:
 [1];  [2];  [1]
  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)
Publication Date:
OSTI Identifier:
20774421
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 72; Journal Issue: 11; Other Information: DOI: 10.1103/PhysRevD.72.114001; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Fajfer, S, J. Stefan Institute, Jamova 39, P. O. Box 300, 1001 Ljubljana, Physik Department, Technische Universitaet Muenchen, D-85748, Garching, Pham, T N, Prapotnik-Brdnik, A, and Faculty of Civil Engineering, University of Maribor, Smetanova ul. 17, 2000 Maribor. Charmless final state interaction in B{yields}{pi}{pi} decays. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.72.114001.
Fajfer, S, J. Stefan Institute, Jamova 39, P. O. Box 300, 1001 Ljubljana, Physik Department, Technische Universitaet Muenchen, D-85748, Garching, Pham, T N, Prapotnik-Brdnik, A, & Faculty of Civil Engineering, University of Maribor, Smetanova ul. 17, 2000 Maribor. Charmless final state interaction in B{yields}{pi}{pi} decays. United States. https://doi.org/10.1103/PhysRevD.72.114001
Fajfer, S, J. Stefan Institute, Jamova 39, P. O. Box 300, 1001 Ljubljana, Physik Department, Technische Universitaet Muenchen, D-85748, Garching, Pham, T N, Prapotnik-Brdnik, A, and Faculty of Civil Engineering, University of Maribor, Smetanova ul. 17, 2000 Maribor. 2005. "Charmless final state interaction in B{yields}{pi}{pi} decays". United States. https://doi.org/10.1103/PhysRevD.72.114001.
@article{osti_20774421,
title = {Charmless final state interaction in B{yields}{pi}{pi} decays},
author = {Fajfer, S and J. Stefan Institute, Jamova 39, P. O. Box 300, 1001 Ljubljana and Physik Department, Technische Universitaet Muenchen, D-85748, Garching and Pham, T N and Prapotnik-Brdnik, A and Faculty of Civil Engineering, University of Maribor, Smetanova ul. 17, 2000 Maribor},
abstractNote = {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.},
doi = {10.1103/PhysRevD.72.114001},
url = {https://www.osti.gov/biblio/20774421}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 11,
volume = 72,
place = {United States},
year = {Thu Dec 01 00:00:00 EST 2005},
month = {Thu Dec 01 00:00:00 EST 2005}
}