Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-05-23
Phys.Rev. D68 (2003) 074010
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, LaTeX, 3 figures, to be submitted to Phys. Rev. D
Scientific paper
10.1103/PhysRevD.68.074010
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 $\b(B^0 \to \pi^+ \pi^-)|_{\rm tree} = (5.25^{+1.67}_{-0.50}) \times 10^{-6}$, to be compared with the experimental value $\b(B^0 \to \pi^+ \pi^-) = (4.55 \pm 0.44) \times 10^{-6}$. 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.
Luo Zumin
Rosner Jonathan L.
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