CP Violation in B and K Decays: 2003

Abstract

These lectures give a brief description of CP violation in B and K meson decays with particular emphasize put on the determination of the CKM matrix. The following topics will be discussed: i) The CKM matrix, the unitarity triangle and general aspects of the theoretical framework, ii) Particle-antiparticle mixing and various types of CP violation, iii) Standard analysis of the unitarity triangle, iv) The ratio ε ′ /ε, v) The most important strategies for the determination of the angles α, β and γ from B decays, vi) Rare decays K + → π + νν and K L → π 0 νν and vii) Models with minimal flavour violation, in particular those with universal extra dimensions.

Unitarity triangle test of the extra factor of two in particle oscillation phases

“…This allowed to perform a new check of the Standard Model based on the test of the unitarity of the CKM mixing matrix, the so-called unitarity triangle test of the SM. It was shown [39][40][41][42][43] that the SM with three families of quarks is in an good agreement with existing data, which include the data on the measurements of the effects of CP violation. In the unitarity triangle (UT) test the experimental values of the K L − K S mass difference ∆m K and the B dH − B dL mass difference ∆m B d are used.…”

Implications of LHCb measurements and future prospects

“…This framework is known as the operator product expansion, and is described in more detail in, e.g., Refs. [33,34]. In many concrete models, the operators that are most sensitive to NP are a subset of …”

“…This scenario has been studied in extensions of the CKM fit of the SM which includes B = 2 measurements to constrain the CKM elements V tq [256,259], in combination with many other flavour-changing processes. Including LHCb measurements [139,229] 34 the SM point [256] (prior to the LHCb results being available, a similar analysis gave a discrepancy of 3.6σ driven mainly by the anomalous dimuon asymmetry [259]). The analysis gives s consistent with the SM, within large uncertainties, whereas the more precise data in the B 0 system hint at a deviation in d (see Fig.…”

“…(34) are restricted to a particular set of observables, mainly those with B = 2, since correlations with B = 1 measurements are 34 But …”

CONSTRAINING NEW PHYSICS IN $B_{s}^0$ MESON MIXING

“…7,8 An up-to-date review of experimental constraints on B meson mixing can also be found in the PDG. 9 The following discussion applies to neutral mesons of any kind.…”