CP-violation and unitarity triangle test of the Standard Model

TL;DR

This paper reviews CP violation phenomena in the quark sector of the Standard Model, analyzing the unitarity triangle and meson decays to test the model's consistency with experimental data.

Contribution

It provides a comprehensive discussion of CP violation phenomenology, unitarity triangle analysis, and compares meson oscillations with neutrino oscillations within the Standard Model framework.

Findings

Standard unitarity triangle fit aligns with experimental data

CP violation observed in $K^{0}_{L}$ and $B_{d}^{0}$ decays

Oscillation comparisons enhance understanding of meson and neutrino behaviors

Abstract

Phenomenological issues of the CP violation in the quark sector of the Standard Model are discussed. We consider quark mixing in the SM, standard and Wolfenstein parametrization of the $CKM$ mixing matrix and unitarity triangle. We discuss the phenomenology of the CP violation in $K^{0}_{L}$ and $B_{d}^{0} (\bar B_{d}^{0})$-decays. The standard unitarity triangle fit of the existing data is discussed. In appendix A we compare the $K^{0}\leftrightarrows \bar K^{0}$, $B_{d,s}^{0}\leftrightarrows \bar B^{0}_{d,s}$ etc oscillations with neutrino oscillations. In Appendix B we derive the evolution equation for $M^{0}- \bar M^{0}$ system in the Weisskopf-Wigner approximation.