Testing the dynamics of B{yields}{pi}{pi} and constraints on {alpha}
- Department of Physics, Technion-Israel Institute of Technology, Technion City, 32000 Haifa (Israel)
- Laboratoire de l'Accelerateur Lineaire, IN2P3-CNRS et Universite Paris-Sud, BP 34, F-91898 Orsay Cedex (France)
- Ernest Orlando Lawrence Berkeley National Laboratory, University of California, Berkeley, California 94720 (United States)
- Center for Theoretical Physics, MIT, Cambridge, Massachusetts 02139 (United States)
In charmless nonleptonic B decays to {pi}{pi} or {rho}{rho}, the 'color allowed' and 'color suppressed' tree amplitudes can be studied in a systematic expansion in {alpha}{sub s}(m{sub b}) and {lambda}{sub QCD}/m{sub b}. At leading order in this expansion their relative strong phase vanishes. The implications of this prediction are obscured by penguin contributions. We propose to use this prediction to test the relative importance of the various penguin amplitudes using experimental data. The present B{yields}{pi}{pi} data suggest that there are large corrections to the heavy quark limit, which can be due to power corrections to the tree amplitudes, large up-penguin amplitude, or enhanced weak annihilation. Because the penguin contributions are smaller, the heavy quark limit is more consistent with the B{yields}{rho}{rho} data, and its implications may become important for the extraction of {alpha} from this mode in the future.
- OSTI ID:
- 20713847
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 72, Issue 9; Other Information: DOI: 10.1103/PhysRevD.72.094033; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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