Present knowledge of the Cabibbo-Kobayashi-Maskawa matrix

Abstract

A complete review of the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements and of the experimental methods for their determination is presented. A critical analysis of the relevant experimental results, and in particular of the most recent ones, allows to improve the accuracies of all the matrix elements. A chi-square minimization with the three-family unitarity constraint on the CKM matrix is performed to test the current interpretation of the CP violating phenomena inside the Standard Model. A complete and unambiguous solution satisfying all the imposed constraints is found. As a by-product of the fit, the precision on the values of the matrix elements is further increased and it is possible to obtain estimates for the important CP violation observables $sin2\beta$, $sin2\alpha$ and $\gamma$. Finally, an independent estimation of the CKM elements based on a Bayesian approach is performed. This complementary method constitutes a check of the results obtained, providing also the probability functions of the CKM elements and of the related quantities.

81 pages, 1 file (with 15 figures); v2: misprints corrected on pages 32 & 35

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• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• The Unitarity Triangle Fit in the Standard Model and Hadronic Parameters from Lattice QCD: A Reappraisal after the Measurements of Delta m_s and BR(B to tau nu)
• Construction of a Minimal Higgs SO(10) SUSY GUT Model
• Constraining models with vector-like fermions from FCNC in K and B physics
• Complex flavour couplings in supersymmetry and unexpected CP-violation in the decay B -> phi K
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• Quark Mixing, CKM Unitarity
• CP Violation in a Supersymmetric SO(10) x U(2)_{F} Model
• The CKM Matrix and The Unitarity Triangle: Another Look
• Phenomenological Constraints on Extended Quark Sectors
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• CKM matrix: the `over-consistent' picture of the unitarity triangle