Minimal Flavour Violation Waiting for Precise Measurements of Delta Ms, |Vub|, gamma and B^0_{sd} -> mu+ mu-

  • 6 April 2006
Abstract
We emphasize that the recent first direct two-sided bound on B^0_s-bar B^0_s mixing with the mass difference 17/ps < Delta Ms < 21/ps from the D0 collaboration offers 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, Br(B_{d,s} -> mu+ mu-), Br(B -> X_{d,s} nu bar nu), Br(K+ -> pi+ nu bar nu) and Br(K_L -> 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). We emphasize that improved data on Delta Ms and Br(B_{d,s} -> mu+ mu-) could soon put under pressure the MSSM with MFV and large tan(beta). A brief discussion of non-MFV scenarios is also given.

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