$|V_{cb}|$ and $\gamma$ from $B$-mixing -- Addendum to "$B_s$ mixing observables and $|V_{td}/V_{ts}|$ from sum rules"

TL;DR

This paper refines the measurements of CKM matrix parameters, specifically the angle gamma and the element |V_cb|, using improved theoretical calculations of B meson mixing, enhancing the precision of the unitarity triangle analysis.

Contribution

It provides the most precise determination of gamma and a new value for |V_cb| based on recent theoretical improvements in B meson mixing calculations.

Findings

Gamma = (63.4 ± 0.9) degrees

|V_cb| = (41.6 ± 0.7) x 10^{-3}

Enhanced CKM unitarity fit precision

Abstract

In this addendum to "$B_s$ mixing observables and $|V_{td}/V_{ts}|$ from sum rules" \cite{King:2019lal} we study the impact of the recent improvements in the theoretical precision of $B$ meson mixing onto CKM unitarity fits. Our key results are the most precise determination of the angle $\gamma = \left(63.4\pm0.9\right)^\circ$ in the unitarity triangle and a new value for the CKM element $|V_{cb}|=(41.6\pm0.7)\cdot10^{-3}$.