Overall Determination of the CKM Matrix

Abstract

Abstract:We discuss the problem of theoretical uncertainties in the combination of observables related to the CKM matrix elements and propose a statistically sensible method for combining them. The overall fit is performed on present data, and constraints on the matrix elements are presented as well as on f B d B B d . We then explore the implications of recent measurements and developments: J/ψ K 0 S CP asymmetry, ε /ε and B → Kπ branching fractions. Finally, we extract from the overall fit the Standard Model expectations for the rare kaon decays K → πνν.

Standard model matrix elements for neutralB-meson mixing and associated decay constants

“…The high frequency of B s −B s oscillations makes this a challenging measurement. Nevertheless, the experimental lower bounds obtained on ∆m s [1,2] already yield interesting constraints on the unitarity triangle [1,[7][8][9][10][11][12].…”

$B$--$\bar B$ Mixing Results

“…The contribution of the limit on ∆m s to the determination of CKM matrix is summarized in Ref. [19]. The bump seen in the amplitude distribution at around 15 ps −1 has been the subject of a lot interest.…”

Review of B-{anti B} mixing results

“…The initial-state tag is given primarily by tion of CKM matrix is summarized in Ref. 19 . The bump seen in the amplitude distribution at around 15 ps 1 has been the subject of a lot interest.…”