Recent Developments on the CKM Matrix

Abstract

In Standard Model, CP violation arises from an irreducible complex phase in the quark mixing matrix, now under the name Cabibbo-Kobayashi-Maskawa matrix. This description has shown remarkably overall agreement with various experimental measurements. In this review, we discuss recent experimental data and theoretical developments on three quantities of CKM matrix that are most uncertain: the $V_{ub}$, including its magnitude and the phase $\gamma$ in standard parametrization, and the $B_s-{\bar{B}}_s$ mixing phase ${\beta }_s$.

Comments: 32 pages, 17 figures, invited review to appear in IJMPA, references added. arXiv admin note: text overlap with arXiv:1305.2844 by other authors