CP violation and limits on New Physics including recent Bs measurements

We analyse present constraints on the SM parameter space and derive, in a model independent way, various bounds on New Physics contributions to Bd0-B¯d0 and Bs0-B¯s0 mixings. Our analyses include information on a large set of asymmetries, leading to the measurement of the CKM phases γ and β¯, as well as recent data from D0 and CDF related to the Bs0-B¯s0 system such as the measurement of ΔMBs, A and ΔΓsCP. We examine in detail several observables such as the asymmetries Asld, A, the width differences ΔΓd and ΔΓsCP and discuss the rôle they play in establishing the limits on New Physics. The present data clearly favour the SM, with the New Physics favoured region placed around the SM solution. A New Physics solution significantly different from the SM is still allowed, albeit quite disfavoured (2.6% probability). We analyse the presently available indirect knowledge on the phase χ¯ entering in Bs0-B¯s0 mixing and study the impact of a future measurement of χ¯ to be achieved at LHC, through the measurement of the time-dependent CP asymmetry in Bs→J/Ψ Φ decays.