${\it V}_{\it cb}$ MEASUREMENTS

For the discussion of ${\it V}_{\it cb}$ measurements, which is not repeated here, see the review on “Determination of $\vert {\it V}_{\it cb}\vert $ and $\vert {\it V}_{\it ub}\vert $.''
The CKM matrix element $\vert {\it V}_{\it cb}\vert $ can be determined by studying the rate of the semileptonic decay ${{\mathit B}}$ $\rightarrow$ ${{\mathit D}}{}^{(*)}$ ${{\mathit \ell}}{{\mathit \nu}}$ as a function of the recoil kinematics of ${{\mathit D}}{}^{(*)}$ mesons. Taking advantage of theoretical constraints on the normalization and a linear $\omega ~$dependence of the form factors ($\mathit F(\omega $), $\mathit G(\omega $)) provided by Heavy Quark Effective Theory (HQET), the $\vert {\it V}_{\it cb}\vert {\times }\mathit F(\omega $) and $\rho {}^{2}$ can be simultaneously extracted from data, where $\omega $ is the scalar product of the two-meson four velocities, $\mathit F$(1) is the form factor at zero recoil ($\omega $=1) and $\rho {}^{2}$ is the slope. Using the theoretical input of $\mathit F$(1), a value of $\vert {\it V}_{\it cb}\vert $ can be obtained.

$\vert V_{cb}\vert $ (from ${{\mathit D}_{{{s}}}^{*-}}{{\mathit \mu}^{+}}{{\mathit \nu}_{{{\mu}}}}$)

INSPIRE   PDGID:
S052A00
VALUE ($ 10^{-3} $) DOCUMENT ID TECN  COMMENT
$41.4$ $\pm0.6$ $\pm0.9$ $\pm1.2$ 1
AAIJ
2020E
 LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8 TeV
1  Measured from an inclusive sample of ${{\mathit D}_{{{s}}}^{-}}{{\mathit \mu}^{+}}$ candidates using CNL parameterization of the form factor. AAIJ 2020E provides also measurement of $\vert V_{cb}\vert $ = ($42.3$ $\pm0.8$ $\pm0.9$ $\pm1.2$) $ \times 10^{-3}$ using BGL parameterization of the form factor. The third uncertainty is due to the external inputs used in the measurement.
References