Comment on extracting alpha from B -> rho rho

Details Comment on extracting alpha from B -> rho rho Comment on extracting alpha from B -> rho rho

2003-10-21

arxiv.org/abs/hep-ph/0310242v2

Phys.Rev. D69 (2004) 011502

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, minor changes

Scientific paper

10.1103/PhysRevD.69.011502

Recent experimental results on $B\to\rho\rho$ decays indicate that the CP asymmetry $S_{\rho^+\rho^-}$ will give an interesting determination of $\alpha=\arg[-(V_{td}V_{tb}^*)/(V_{ud}V_{ub}^*)]$. In the limit when the $\rho$ width is neglected, the $B\to\pi\pi$ isospin analysis can also be applied to $B\to\rho\rho$, once an angular analysis is used to separate transversity modes. The present bound on the shift of $S_{\rho^+\rho^-}$ from the true $\sin2\alpha$ is already stronger than it is for $S_{\pi^+\pi^-}$. We point out a subtle violation of the isospin relations when the two $\rho$ mesons are observed with different invariant masses, and how to constrain this effect experimentally.

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