CP violation and flavour mixing in the Standard Model

SummaryWe review and update the constraints on the parameters of the quark flavour mixing matrixVCKM in the Standard Model and estimate the resultingCP asymmetries in B decays, taking into account recent experimental and theoretical developments. In performing our fits, we use inputs from the measurements of the following quantities: i) |ε|, theCP-violating parameter in K decays, ii) ΔMd, the mass difference due to the $$B_{d^ - }^0 \bar B_d^0 $$ mixing, iii) the matrix elements |Vcb| and |Vub|, iv)-v) has improved compared to our previous fits. With the updated CKM matrix we present the currently-allowed range of the ratios |Vtd/Vts| and |Vtd/Vub|, as well as the Standard Model predictions for the $$B_{s^ - }^0 \bar B_s^0 $$ mixing parameterxs (or, equivalently, ΔMs) and the quantities sin2α, sin2β and sin2γ, which characterize theCP-asymmetries in B decays. Various theoretical issues related to the so-called «penguin-pollution», which are of importance for the determination of the phases α and γ from theCP-asymmetries in B decays, are also discussed.