A precise determination of $α$ using $B^0\toρ^+ρ^-$ and $B^+\to K^{*0}ρ^+$

Details A precise determination of $α$ using $B^0\toρ^+ρ^-$ and $B^+\to K^{*0}ρ^+$ A precise determination of $α$ using $B^0\toρ^+ρ^-$ and $B^+\to K^{*0}ρ^+$

2006-04-02

arxiv.org/abs/hep-ph/0604005v2

Phys.Lett. B638 (2006) 68-73

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages. 2 figures, to be published in Physics Letters B; v2: Added "Note added in proof" to account for latest experimental

Scientific paper

10.1016/j.physletb.2006.05.012

The effect of the penguin amplitude on extracting $\alpha$ from CP asymmetries in $B^0\to \rho^+\rho^-$ decays is studied using information on the SU(3)-related penguin amplitude in $B^+\to K^{*0}\rho^+$. Conservative bounds on non-factorizable SU(3) breaking, small amplitudes, and the strong phase difference between tree and penguin amplitudes, are shown to reduce the error in $\alpha$ in comparison with the one obtained using isospin symmetry in $B\to\rho\rho$. Current measurements imply $\alpha = [90 \pm 7 f{\rm exp})^{+2}_{-5} ({\rm th})]^\circ$.

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