Testing the dynamics of B -> ππand constraints on α

Abstract

In charmless nonleptonic B decays to ππor ρρ, the "color allowed" and "color suppressed" tree amplitudes can be studied in a systematic expansion in \alphas(mb) and Λ/mb. 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->ππdata suggest that there are large corrections to the heavy quark limit, which can be due to power corrections to the tree amplitudes, large up-quark penguin amplitude, or enhanced weak annihilation. Because the penguin contributions are smaller, the heavy quark limit is more consistent with the B->ρρdata, and its implications may become important for the extraction of αfrom this mode in the future.

8 pages, 6 figures, includes special style file; final version to appear in Phys. Rev. D

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Cited by in corpus (9)

• Flavor mixings and textures of the fermion mass matrices
• Implication of the B -> rho rho data on the B -> pi pi puzzle
• Power Corrections in Charmless Nonleptonic B-Decays: Annihilation is Factorizable and Real
• Improved Determination of the CKM Angle alpha from B to pi pi decays
• Penguin-mediated B_(d,s)->VV decays and the Bs - anti-Bs mixing angle
• Role of final state interactions in the B meson decay into two pions
• Hadronic B Decays: A General Approach
• CP asymmetry and branching ratio of B -> pi pi
• Estimating QCD-factorization amplitudes through $SU(3)$ symmetry in $B\to PP$ decays