The factorizable amplitude in $B^0\to {\pi }^{+}{\pi }^{-}$

Abstract

Using the measured spectrum shape for $B\to \pi \ell \nu$, the rate for $B^{+}\to {\pi }^{+}{\pi }^0$, information on the Cabibbo-Kobayashi-Maskawa (CKM) matrix element $|V_{ub}|$, and theoretical inputs from factorization and lattice gauge theory, we obtain an improved estimate of the ``tree'' contribution to $B^0\to {\pi }^{+}{\pi }^{-}$. We find the branching ratio $\b(B^0 \to π^+ π^-)|_{\rm tree} = (5.25^{+1.67}_{-0.50}) \times 10^{-6}$, to be compared with the experimental value $\b(B^0 \to π^+ π^-) = (4.55 \pm 0.44) \times 10^{-6}$. The fit implies $|V_{ub}|=(3.62\pm 0.34)\times 10^{-3}$. Implications for tree-penguin interference in $B^0\to {\pi }^{+}{\pi }^{-}$ and for other charmless $B$ decays are discussed.

11 pages, LaTeX, 3 figures, to be submitted to Phys. Rev. D

References in corpus (6)

• The CKM Matrix and the Unitarity Triangle
• Measurements of Charmless Hadronic Two-Body B Meson Decays and the Ratio cal B(B--> DK)/ cal B(B--> Dπ)
• Study of the q^2-Dependence of B --> pi ell nu and B --> rho(omega)ell nu Decay and Extraction of |V_ub|
• B --> pi and B --> K transitions in partially quenched chiral perturbation theory
• Preliminary Results on |V_ub| from Inclusive Semileptonic B Decays with Neutrino Reconstruction
• Measurement of Vub at Belle

Cited by in corpus (7)

• B -> M1 M2: Factorization, Charming Penguins, Strong Phases, and Polarization
• Charmless $B\to PP$ decays using flavor SU(3) symmetry
• Resolution to the B -> pi K puzzle
• Two-Body Charmless B Decays Involving eta and eta'
• Implications of CP Asymmetries in $B\to {\pi }^{+}{\pi }^{-}$
• CP Violation in B -> pi+ pi- and the Unitarity Triangle
• QCD and Heavy Hadron Decays