Power corrections in charmless nonleptonic B decays: Annihilation is factorizable and real
- Center for Theoretical Physics, Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
- Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213 (United States)
We classify {lambda}{sub QCD}/m{sub b} power corrections to nonleptonic B{yields}M{sub 1}M{sub 2} decays, where M{sub 1,2} are charmless nonisosinglet mesons. Using recent developments in soft-collinear effective theory, we prove that the leading contributions to annihilation amplitudes of order {alpha}{sub s}(m{sub b}){lambda}{sub QCD}/m{sub b} are real. The leading annihilation amplitudes depend on twist-2 and twist-3 three-parton distributions. A complex nonperturbative parameter from annihilation first appears at O[{alpha}{sub s}{sup 2}({radical}({lambda}m{sub b})){lambda}{sub QCD}/m{sub b}]. 'Chirally enhanced' contributions are also factorizable and real at lowest order. Thus, incalculable strong phases are suppressed in annihilation amplitudes, unless the {alpha}{sub s}({radical}({lambda}m{sub b})) expansion breaks down. Modeling the distribution functions, we find that (11{+-}9)% and (15{+-}11)% of the absolute values of the measured B{sup 0}{yields}K{sup -}{pi}{sup +} and B{sup -}{yields}K{sup -}K{sup 0} penguin amplitudes come from annihilation. This is consistent with the expected size of power corrections.
- OSTI ID:
- 21249703
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 77, Issue 5; Other Information: DOI: 10.1103/PhysRevD.77.054006; (c) 2008 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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