Minimal Flavour Violation Waiting for Precise Measurements of Delta Ms, Spsi phi, AsSL, |Vub|, gamma and B0s,d -> mu+ mu-
Abstract
We emphasize that the recent measurements of the B0s - bar B0s mass difference Delta Ms by the CDF and D0 collaborations offer an important model independent test of minimal flavour violation (MFV). The improved measurements of the angle gamma in the unitarity triangle and of |Vub| from tree level decays, combined with future accurate measurements of Delta Ms, Spsi KS, Spsi phi, Br(Bd,s -> mu+ mu-), Br(B -> Xd,s nu bar nu), Br(K+ -> pi+ nu bar nu) and Br(KL -> pi0 nu bar nu) and improved values of the relevant non-perturbative parameters, will allow to test the MFV hypothesis in a model independent manner to a high accuracy. In particular, the difference between the reference unitarity triangle obtained from tree level processes and the universal unitarity triangle (UUT) in MFV models would signal either new flavour violating interactions and/or new local operators that are suppressed in MFV models with low tan(beta), with the former best tested through Spsi phi and KL -> pi0 nu bar nu. A brief discussion of non-MFV scenarios is also given. In this context we identify in the recent literature a relative sign error between Standard Model and new physics contributions to Spsi phi, that has an impact on the correlation between Spsi phi and AsSL. We point out that the ratios Spsi phi/AsSL and (Delta Ms)/(Delta Gammas) will allow to determine (Delta Ms)/(Delta Ms)SM. Similar proposals for the determination of (Delta Md)/(Delta Md)SM are also given.
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