The CKM Matrix and The Unitarity Triangle: Another Look

The unitarity triangle can be determined by means of two measurements of itssides or angles. Assuming the same relative errors on the angles$(\alpha,\beta,\gamma)$ and the sides $(R_b,R_t)$, we find that the pairs$(\gamma,\beta)$ and $(\gamma,R_b)$ are most efficient in determining$(\bar\varrho,\bar\eta)$ that describe the apex of the unitarity triangle. Theyare followed by $(\alpha,\beta)$, $(\alpha,R_b)$, $(R_t,\beta)$, $(R_t,R_b)$and $(R_b,\beta)$. As the set $\vus$, $\vcb$, $R_t$ and $\beta$ appears to bethe best candidate for the fundamental set of flavour violating parameters inthe coming years, we show various constraints on the CKM matrix in the$(R_t,\beta)$ plane. Using the best available input we determine the universalunitarity triangle for models with minimal flavour violation (MFV) and compareit with the one in the Standard Model. We present allowed ranges for $\sin2\beta$, $\sin 2\alpha$, $\gamma$, $R_b$, $R_t$ and $\Delta M_s$ within theStandard Model and MFV models. We also update the allowed range for thefunction $F_{tt}$ that parametrizes various MFV-models.Comment: "published version. few typos corrected, results unchanged