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

2024

BELL

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$

$3.676$ $\pm0.028$ $\pm0.086$

ADACHI

2023

BEL2

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$

$3.506$ $\pm0.015$ $\pm0.056$

2021

BELL

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$

$3.59$ $\pm0.02$ $\pm0.12$

⁴

2009

BABR

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$

$3.92$ $\pm0.18$ $\pm0.23$

⁵

ABDALLAH

2004

DLPH

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit Z}^{0}}$

$4.31$ $\pm0.13$ $\pm0.18$

⁶

ADAM

2003

CLE2

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$

$3.55$ $\pm0.14$ ${}^{+0.23}_{-0.24}$

⁷

2001

DLPH

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit Z}}$

$3.71$ $\pm0.10$ $\pm0.20$

⁸

ABBIENDI

2000

OPAL

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit Z}}$

$3.19$ $\pm0.18$ $\pm0.19$

⁹

1997

ALEP

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit Z}}$

• • • We do not use the following data for averages, fits, limits, etc. • • •

$3.64$ $\pm0.09$

¹⁰

2023

BELL

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$, Repl. by PRIM 2024

$3.483$ $\pm0.015$ $\pm0.056$

2019

BELL

Repl. by WAHEED 2021

$3.46$ $\pm0.02$ $\pm0.10$

¹¹

DUNGEL

2010

BELL

Rep. by WAHEED 2019

$3.59$ $\pm0.06$ $\pm0.14$

¹²

2008

BABR

Repl. by AUBERT 2009A

$3.44$ $\pm0.03$ $\pm0.11$

¹³

2008

BABR

Repl. by AUBERT 2009A

$3.55$ $\pm0.03$ $\pm0.16$

¹⁴

2005

BABR

Repl. by AUBERT 2008R

$3.77$ $\pm0.11$ $\pm0.19$

¹⁵

ABDALLAH

2004

DLPH

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit Z}^{0}}$

$3.54$ $\pm0.19$ $\pm0.18$

¹⁶

ABE

2002

BELL

Repl. by DUNGEL 2010

$4.31$ $\pm0.13$ $\pm0.18$

¹⁷

BRIERE

2002

CLE2

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$

$3.28$ $\pm0.19$ $\pm0.22$

ACKERSTAFF

1997

OPAL

Repl. by ABBIENDI 2000Q

$3.50$ $\pm0.19$ $\pm0.23$

¹⁸

1996

DLPH

Repl. by ABREU 2001H

$3.51$ $\pm0.19$ $\pm0.20$

¹⁹

BARISH

1995

CLE2

Repl. by ADAM 2003

$3.14$ $\pm0.23$ $\pm0.25$

1995

ALEP

Repl. by BUSKULIC 1997

¹ PRIM 2024 value established from a complete set of angular coefficients for exclusive ${{\mathit B}}$ $\rightarrow$ ${{\overline{\mathit D}}^{*}}{{\mathit \ell}^{+}}{{\mathit \nu}_{{{{{\mathit \ell}}}}}}$ decays with hadronic tag-side reconstruction. The $\vert {\it V}_{\it cb}\vert {\times }\mathit F$(1) is derived from the extracted the BGL and CNL form factor parameters: $\vert {\it V}_{\it cb}\vert _{{\mathrm {BGL}}}$ = ($40.7$ $\pm0.7$) $ \times 10^{-3}$ with the zero-recoil lattice QCD point $\mathit F$(1) = $0.900$ $\pm0.009$ and $\vert {\it V}_{\it cb}\vert _{{\mathrm {CNL}}}$ = ($40.3$ $\pm0.6$) $ \times 10^{-3}$.

² ADACHI 2023J result comes from differential shapes of exclusive ${{\mathit B}}$ $\rightarrow$ ${{\mathit D}^{*}}{{\mathit \ell}^{-}}{{\mathit \nu}_{{{{{\mathit \ell}}}}}}$ (${{\mathit \ell}}$ = ${{\mathit e}}$ or ${{\mathit \mu}}$) decays. Using CNL form factor parametrization and the zero-recoil lattice QCD point $\mathit F$(1) = $0.906$ $\pm0.013$ ADACHI 2023J finds $\vert V_{cb}\vert _{{\mathrm {CNL}}}$ = ($40.57$ $\pm0.31$ $\pm0.95$ $\pm0.58$) $ \times 10^{-3}$ where the last uncertainty is due to the prediction of $\mathit F$(1). Also reports a measurement of $\vert V_{cb}\vert _{{\mathrm {BGL}}}$ = ($40.13$ $\pm0.27$ $\pm0.93$ $\pm0.58$) $ \times 10^{-3}$ using BGL form factors parametrization.

³ 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.

⁴ 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 $\rho {}^{2}$ = $1.22$ $\pm0.02$ $\pm0.07$.

⁵ Measurement using fully reconstructed ${{\mathit D}^{*}}$ sample with a $\rho {}^{2}$ = $1.32$ $\pm0.15$ $\pm0.33$.

⁶ 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 $\mathit f_{+−}$ = $0.521$ $\pm0.012$.

⁷ ABREU 2001H measured using about 5000 partial reconstructed ${{\mathit D}^{*}}$ sample with a $\rho {}^{2}=1.34$ $\pm0.14$ ${}^{+0.24}_{-0.22}$.

⁸ 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.

⁹ BUSKULIC 1997: measured using exclusively reconstructed ${{\mathit D}^{*\pm}}$ with a $\mathit a{}^{2}=0.31$ $\pm0.17$ $\pm0.08$. The statistical correlation is $0.92$.

¹⁰ Measured from differential shapes of exclusive ${{\mathit B}}$ $\rightarrow$ ${{\mathit D}^{*}}{{\mathit \ell}^{-}}{{\mathit \nu}_{{{{{\mathit \ell}}}}}}$ decays with hadronic tag-side reconstruction and extracting the CNL and BGL form factor parameters. PRIM 2023 finds $\vert V_{cb}\vert _{{\mathrm {CNL}}}$ = ($40.2$ $\pm0.9$) $ \times 10^{-3}$ with the zero-recoil lattice QCD point $\mathit F$(1) = $0.906$ $\pm0.013$. PRIM 2023 provides also a measurement of $\vert V_{cb}\vert _{{\mathrm {BGL}}}$ = ($40.7$ $\pm1.0$) $ \times 10^{-3}$.

¹¹ Uses fully reconstructed ${{\mathit D}^{*-}}{{\mathit \ell}^{+}}{{\mathit \nu}}$ events (${{\mathit \ell}}$ = ${{\mathit e}}$ or ${{\mathit \mu}}$).

¹² 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 $\rho {}^{2}$ = $1.16$ $\pm0.06$ $\pm0.08$.

¹³ 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) = $0.827$ $\pm0.038$ $\pm0.022$.

¹⁴ Measurement using fully reconstructed ${{\mathit D}^{*}}$ sample with a $\rho {}^{2}$ = $1.29$ $\pm0.03$ $\pm0.27$.

¹⁵ Combines with previous partial reconstructed ${{\mathit D}^{*}}$ measurement with a $\rho {}^{2}$ = $1.39$ $\pm0.10$ $\pm0.33$.

¹⁶ 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 $0.91$.

¹⁷ BRIERE 2002 result is based on the same analysis and data sample reported in ADAM 2003.

¹⁸ ABREU 1996P: measured using both inclusively and exclusively reconstructed ${{\mathit D}^{*\pm}}$ samples.

¹⁹ 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:

2024

PRL 133 131801

Measurement of Angular Coefficients of $\bar{B} \to D^* \ell \bar{\nu}_\ell$: Implications for $|V_{cb}|$ and Tests of Lepton Flavor Universality

ADACHI

2023J

PR D108 092013

Determination of

| V_{c b} |

using

{\overset{�}{B}}^{0} ? D^{* +} ?^{-} {\overset{�}{?}}_{?}

decays with Belle II

2023

PR D108 012002

Measurement of differential distributions of

B ? D^{*} ? {\overset{�}{?}}_{?}

and implications on

| V_{c b} |

2021

PR D103 079901

Measurement of the CKM matrix element $|V_{cb}|$ from $B^0\to D^{*-}\ell^ {+} \nu_\ell$ at Belle

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 $

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

2008AT

PRL 100 231803

Measurement of the Decay ${{\mathit B}^{-}}$ $\rightarrow$ ${{\mathit D}^{*0}}{{\mathit e}^{-}}{{\overline{\mathit \nu}}_{{{e}}}}$

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 $

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

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

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 ${{\overline{\mathit B}}^{0}}$ $\rightarrow$ ${{\mathit D}^{+}}{{\mathit \ell}^{-}}{{\overline{\mathit \nu}}_{{{{{\mathit \ell}}}}}}$

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 |$\mathit V_{cb}$|