Recent Developments on the CKM Matrix

TL;DR

This paper reviews recent experimental and theoretical progress on the CKM matrix, focusing on the uncertain elements $V_{ub}$, the phase $eta$, and the $B_s-ar B_s$ mixing phase, highlighting their importance in understanding CP violation.

Contribution

It provides an updated synthesis of experimental data and theoretical insights on key uncertain parameters of the CKM matrix, emphasizing recent developments.

Findings

Improved measurements of $V_{ub}$ magnitude and phase $eta$.

Refined understanding of $B_s-ar B_s$ mixing phase $eta_s$.

Overall agreement with Standard Model predictions.

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 $\beta_s$.