${\it V}_{\it cb}$ 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.
“OUR EVALUATION” is an average using rescaled values of the data listed below. The average and rescaling were performed by the Heavy Flavor Averaging Group (HFLAV) and are described at https://hflav.web.cern.ch/. The averaging/rescaling procedure takes into account correlations between the measurements.

$\vert {\it V}_{\it cb}\vert $ ${\times }$ $\mathit F$(1) (from ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit D}^{*-}}{{\mathit \ell}^{+}}{{\mathit \nu}}$ )

INSPIRE   PDGID:
S052CB1
VALUE ($ 10^{-2} $) DOCUMENT ID TECN  COMMENT
$\bf{ 3.500 \pm0.036}$ OUR EVALUATION  with ${{\mathit \rho}^{2}}=1.121$ $\pm0.024$ and a correlation 0.317. The fitted ${{\mathit \chi}^{2}}$ is 42.2 for 23 degrees of freedom.  See the ideogram below.
$\bf{ 3.57 \pm0.08}$ OUR AVERAGE  Error includes scale factor of 1.6.  See the ideogram below.
$3.506$ $\pm0.015$ $\pm0.056$ 1
WAHEED
2021
BELL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$3.59$ $\pm0.02$ $\pm0.12$ 2
AUBERT
2009A
 BABR ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$3.92$ $\pm0.18$ $\pm0.23$ 3
ABDALLAH
2004D
 DLPH ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit Z}^{0}}$
$4.31$ $\pm0.13$ $\pm0.18$ 4
ADAM
2003
CLE2 ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$3.55$ $\pm0.14$ ${}^{+0.23}_{-0.24}$ 5
ABREU
2001H
 DLPH ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit Z}}$
$3.71$ $\pm0.10$ $\pm0.20$ 6
ABBIENDI
2000Q
 OPAL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit Z}}$
$3.19$ $\pm0.18$ $\pm0.19$ 7
BUSKULIC
1997
ALEP ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit Z}}$
• • We do not use the following data for averages, fits, limits, etc. • •
$3.483$ $\pm0.015$ $\pm0.056$ 1
WAHEED
2019
BELL Repl. by WAHEED 2021
$3.46$ $\pm0.02$ $\pm0.10$ 8
DUNGEL
2010
BELL Rep. by WAHEED 2019
$3.59$ $\pm0.06$ $\pm0.14$ 9
AUBERT
2008AT
 BABR Repl. by AUBERT 2009A
$3.44$ $\pm0.03$ $\pm0.11$ 10
AUBERT
2008R
 BABR Repl. by AUBERT 2009A
$3.55$ $\pm0.03$ $\pm0.16$ 11
AUBERT
2005E
 BABR Repl. by AUBERT 2008R
$3.77$ $\pm0.11$ $\pm0.19$ 12
ABDALLAH
2004D
 DLPH ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit Z}^{0}}$
$3.54$ $\pm0.19$ $\pm0.18$ 13
ABE
2002F
 BELL Repl. by DUNGEL 2010
$4.31$ $\pm0.13$ $\pm0.18$ 14
BRIERE
2002
CLE2 ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$3.28$ $\pm0.19$ $\pm0.22$
ACKERSTAFF
1997G
 OPAL Repl. by ABBIENDI 2000Q
$3.50$ $\pm0.19$ $\pm0.23$ 15
ABREU
1996P
 DLPH Repl. by ABREU 2001H
$3.51$ $\pm0.19$ $\pm0.20$ 16
BARISH
1995
CLE2 Repl. by ADAM 2003
$3.14$ $\pm0.23$ $\pm0.25$
BUSKULIC
1995N
 ALEP Repl. by BUSKULIC 1997
1  WAHEED 2021 uses fully reconstructed ${{\mathit D}^{*-}}{{\mathit \ell}^{+}}{{\mathit \nu}}$ events (${{\mathit \ell}}$ = ${{\mathit e}}$ or ${{\mathit \mu}}$) and ${{\mathit \eta}_{{EW}}}$ = 1.0066.
2  Obtained from a global fit to ${{\mathit B}}$ $\rightarrow$ ${{\mathit D}^{(*)}}{{\mathit \ell}}{{\mathit \nu}_{{{{\mathit \ell}}}}}$ events, with reconstructed ${{\mathit D}^{0}}{{\mathit \ell}}$ and ${{\mathit D}^{+}}{{\mathit \ell}}$ final states and $\rho {}^{2}$ = $1.22$ $\pm0.02$ $\pm0.07$.
3  Measurement using fully reconstructed ${{\mathit D}^{*}}$ sample with a $\rho {}^{2}$ = $1.32$ $\pm0.15$ $\pm0.33$.
4  Average of the ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit D}^{*}{(2010)}^{-}}{{\mathit \ell}^{+}}{{\mathit \nu}}$ and ${{\mathit B}^{+}}$ $\rightarrow$ ${{\overline{\mathit D}}^{*}{(2007)}}$) ${{\mathit \ell}^{+}}{{\mathit \nu}}$ modes with $\rho {}^{2}$ = $1.61$ $\pm0.09$ $\pm0.21$ and $\mathit f_{+−}$ = $0.521$ $\pm0.012$.
5  ABREU 2001H measured using about 5000 partial reconstructed ${{\mathit D}^{*}}$ sample with a $\rho {}^{2}=1.34$ $\pm0.14$ ${}^{+0.24}_{-0.22}$.
6  ABBIENDI 2000Q: measured using both inclusively and exclusively reconstructed ${{\mathit D}^{*\pm}}$ samples with a $\rho {}^{2}=1.21$ $\pm0.12$ $\pm0.20$. The statistical and systematic correlations between $\vert {\it V}_{\it cb}\vert {\times }\mathit F$(1) and $\rho {}^{2}$ are $0.90$ and $0.54$ respectively.
7  BUSKULIC 1997 : measured using exclusively reconstructed ${{\mathit D}^{*\pm}}$ with a $\mathit a{}^{2}=0.31$ $\pm0.17$ $\pm0.08$. The statistical correlation is $0.92$.
8  Uses fully reconstructed ${{\mathit D}^{*-}}{{\mathit \ell}^{+}}{{\mathit \nu}}$ events (${{\mathit \ell}}$ = ${{\mathit e}}$ or ${{\mathit \mu}}$).
9  Measured using the dependence of ${{\mathit B}^{-}}$ $\rightarrow$ ${{\mathit D}^{*0}}{{\mathit e}^{-}}{{\overline{\mathit \nu}}_{{e}}}$ decay differential rate and the form factor description by CAPRINI 1998 with $\rho {}^{2}$ = $1.16$ $\pm0.06$ $\pm0.08$.
10  Measured using fully reconstructed ${{\mathit D}^{*}}$ sample and a simultaneous fit to the Caprini-Lellouch-Neubert form factor parameters: $\rho {}^{2}$ = $1.191$ $\pm0.048$ $\pm0.028$, $\mathit R_{1}$(1) = $1.429$ $\pm0.061$ $\pm0.044$, and $\mathit R_{2}$(1) = $0.827$ $\pm0.038$ $\pm0.022$.
11  Measurement using fully reconstructed ${{\mathit D}^{*}}$ sample with a $\rho {}^{2}$ = $1.29$ $\pm0.03$ $\pm0.27$.
12  Combines with previous partial reconstructed ${{\mathit D}^{*}}$ measurement with a $\rho {}^{2}$ = $1.39$ $\pm0.10$ $\pm0.33$.
13  Measured using exclusive ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit D}^{*}{(892)}^{-}}{{\mathit e}^{+}}{{\mathit \nu}}$ decays with $\rho {}^{2}$= $1.35$ $\pm0.17$ $\pm0.19$ and a correlation of $0.91$.
14  BRIERE 2002 result is based on the same analysis and data sample reported in ADAM 2003 .
15  ABREU 1996P: measured using both inclusively and exclusively reconstructed ${{\mathit D}^{*\pm}}$ samples.
16  BARISH 1995 : measured using both exclusive reconstructed ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit D}^{*-}}{{\mathit \ell}^{+}}{{\mathit \nu}}$ and ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit D}^{*0}}{{\mathit \ell}^{+}}{{\mathit \nu}}$ samples. They report their experiment's uncertainties $\pm{}0.0019$ $\pm0.0018$ $\pm0.0008$, where the first error is statistical, the second is systematic, and the third is the uncertainty in the lifetimes. We combine the last two in quadrature.

           $\vert {\it V}_{\it cb}\vert $ ${\times }$ $\mathit F$(1) (from ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit D}^{*-}}{{\mathit \ell}^{+}}{{\mathit \nu}}$ )
References:
WAHEED 2021
PR D103 079901 Measurement of the CKM matrix element $|V_{cb}|$ from $B^0\to D^{*-}\ell^ {+} \nu_\ell$ at Belle
WAHEED 2019
PR D100 052007 Measurement of the CKM matrix element $|V_{cb}|$ from $B^0\to D^{*-}\ell^ {+} \nu_\ell$ at Belle
DUNGEL 2010
PR D82 112007 Measurement of the Form Factors of the Decay ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit D}^{*-}}{{\mathit \ell}^{+}}{{\mathit \nu}}$ and Determination of the CKM Matrix Element $\vert {\it V}_{\it cb}\vert $
AUBERT 2009A
PR D79 012002 Measurements of the Semileptonic Decays ${{\overline{\mathit B}}}$ $\rightarrow$ ${{\mathit D}}{{\mathit \ell}}{{\overline{\mathit \nu}}}$ and ${{\overline{\mathit B}}}$ $\rightarrow$ ${{\mathit D}^{*}}{{\mathit \ell}}{{\overline{\mathit \nu}}}$ using a Global Fit to ${{\mathit D}}{{\mathit X}}{{\mathit \ell}}{{\overline{\mathit \nu}}}$ Final States
AUBERT 2008AT
PRL 100 231803 Measurement of the Decay ${{\mathit B}^{-}}$ $\rightarrow$ ${{\mathit D}^{*0}}{{\mathit e}^{-}}{{\overline{\mathit \nu}}_{{e}}}$
AUBERT 2008R
PR D77 032002 Determination of the Form Factors for the Decay ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit D}^{*-}}{{\mathit \ell}^{+}}{{\mathit \nu}_{{{{\mathit \ell}}}}}$ and of the CKM Matrix Element $\vert \mathit V_{cb}\vert $
AUBERT 2005E
PR D71 051502 Measurement of the ${{\overline{\mathit B}}^{0}}$ $\rightarrow$ ${{\mathit D}^{*+}}{{\mathit \ell}^{-}}{{\overline{\mathit \nu}}_{{{{\mathit \ell}}}}}$ Decay Rate and $\vert {\it V}_{\it cb}\vert $
ABDALLAH 2004D
EPJ C33 213 Measurement of $\vert \mathit V_{cb}\vert $ using the Semileptonic Decay ${{\overline{\mathit B}}_{{d}}^{0}}$ $\rightarrow$ ${{\mathit D}^{*+}}{{\mathit \ell}^{-}}{{\overline{\mathit \nu}}_{{{{\mathit \ell}}}}}$
ADAM 2003
PR D67 032001 Determination of the ${{\overline{\mathit B}}}$ $\rightarrow$ ${{\mathit \ell}}{{\overline{\mathit \nu}}}$ Decay Width and |$\mathit V_{cb}$|
ABE 2002F
PL B526 247 Determination of $\vert \mathit V_{CB}\vert $ using the Semileptonic Decay ${{\overline{\mathit B}}^{0}}$ $\rightarrow$ ${{\mathit D}^{*+}}{{\mathit e}^{-}}{{\overline{\mathit \nu}}}$
BRIERE 2002
PRL 89 081803 Improved Measurement of |$\mathit V_{cb}$| using ${{\overline{\mathit B}}}$ $\rightarrow$ ${{\mathit D}^{*}}{{\mathit \ell}}{{\mathit \nu}}$ Decay
ABREU 2001H
PL B510 55 Measurement of $\mathit V_{cb}$ from the Decay Process ${{\overline{\mathit B}}^{0}}$ $\rightarrow$ ${{\mathit D}^{*+}}{{\mathit \ell}^{-}}{{\overline{\mathit \nu}}}$
ABBIENDI 2000Q
PL B482 15 Measurement of $\vert \mathit V_{cb}\vert $ using ${{\overline{\mathit B}}^{0}}$ $\rightarrow$ ${{\mathit D}^{*+}}{{\mathit \ell}^{-}}{{\overline{\mathit \nu}}}$ Decays
ACKERSTAFF 1997G
PL B395 128 A Measurement of $\vert \mathit V_{cb}\vert $ using ${{\overline{\mathit B}}^{0}}$ $\rightarrow$ ${{\mathit D}^{*+}}{{\mathit \ell}^{-}}{{\overline{\mathit \nu}}_{{{{\mathit \ell}}}}}$ Decays
BUSKULIC 1997
PL B395 373 Measurement of $\vert \mathit V_{cb}\vert $, Form Factors and Branching Fractions in the Decays ${{\overline{\mathit B}}^{0}}$ $\rightarrow$ ${{\mathit D}^{*+}}{{\mathit \ell}^{-}}{{\overline{\mathit \nu}}_{{{{\mathit \ell}}}}}$ and ${{\overline{\mathit B}}^{0}}$ $\rightarrow$ ${{\mathit D}^{+}}{{\mathit \ell}^{-}}{{\overline{\mathit \nu}}_{{{{\mathit \ell}}}}}$
ABREU 1996P
ZPHY C71 539 Determination of $\vert \mathit V_{cb}\vert $ from the Semileptonic Decay ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit D}^{*-}}{{\mathit \ell}^{+}}{{\mathit \nu}}$
BARISH 1995
PR D51 1014 Measurements of the ${{\overline{\mathit B}}}$ $\rightarrow$ ${{\mathit D}^{*}}{{\mathit \ell}}{{\overline{\mathit \nu}}}$ Branching Fractions and |$\mathit V_{cb}$|
BUSKULIC 1995N
PL B359 236 A Measurement of the $\vert \mathit V_{cb}\vert $ from ${{\overline{\mathit B}}^{0}}$ $\rightarrow$ ${{\mathit D}^{*+}}{{\mathit \ell}^{-}}{{\overline{\mathit \nu}}}$