Minimal avour violation waiting for precise measurements of ΔMs, Sψφ, AsSL, |Vub|, γ and Bs,d0→μ+μ-

We emphasize that the recent measurements of the B(s)0-(B) over bar (s)0 mass difference Delta M-s by the CDF and D phi collaborations offer an important model independent test of minimal avour violation (MFV). The improved measurements of the angle in the unitarity triangle and of vertical bar Vub vertical bar from tree level decays, combined with future accurate measurements of Delta M-s, S-psi KS, S-psi phi, Br(B-d,B-s -> mu(+)mu(-)), Br( B -> X-d,X-s nu(nu) over bar), Br(K+ -> 1) and Br(K-L -> pi(0)nu(nu) over bar) 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 avour violating interactions and/or new local operators that are suppressed in MFV models with low tan beta with the former best tested through S-psi phi and K-L -> pi(0)nu 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 S-psi phi, that has an impact on the correlation between S-mu phi and A(SL)(s). We point out that the ratios S-psi phi/A(SL)(s) and Delta M-s/ Delta Gamma(s) will allow to determine Delta M-s/(Delta M-s)(SM). Similar proposals for the determination of Delta M-d/(Delta M-d)(SM) are also given.