Precision model-independent bounds from a global analysis of b → c ℓ ν form factors

Cohen, Thomas D.; Lamm, Henry; Lebed, Richard F.

doi:10.1103/PhysRevD.100.094503

Title: Precision model-independent bounds from a global analysis of $b \to c ℓ ν$ form factors

Abstract

We present a model-independent global analysis of hadronic form factors for the semileptonic decays $b \to c ℓ ν$ that exploits lattice-QCD data, dispersion relations, and heavy-quark symmetries. The analysis yields predictions for the relevant form factors, within quantifiable bounds. These form factors are used to compute the semileptonic ratios $$R(H_c)$$ and various decay-product polarizations. In particular, we find $$R(D^{\ast}_s)$$ = 0.20(3) and $$R(J/\psi)$$ = 0.25(3), predictions that can be compared to results of upcoming LHCb measurements. In developing this treatment, we obtain leading-order nonrelativistic QCD results for the nonzero-recoil relations between the $$B^+_c → \{J/\psi, η_c\}$$ form factors.

Authors:

Cohen, Thomas D.;

; Lebed, Richard F.

Publication Date:: 2019-11-13

Research Org.:: Univ. of Maryland, College Park, MD (United States)

Sponsoring Org.:: USDOE Office of Science (SC); National Science Foundation (NSF)

OSTI Identifier:: 1574071

Alternate Identifier(s):: OSTI ID: 1800785

Grant/Contract Number:: FG02-93ER-40762; FG02-93ER40762; PHY-1803912

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 9; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics

Citation Formats


                    Cohen, Thomas D., Lamm, Henry, and Lebed, Richard F. Precision model-independent bounds from a global analysis of b → c ℓ ν form factors.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.100.094503.

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                    Cohen, Thomas D., Lamm, Henry, & Lebed, Richard F. Precision model-independent bounds from a global analysis of b → c ℓ ν form factors.  United States.  https://doi.org/10.1103/PhysRevD.100.094503

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                    Cohen, Thomas D., Lamm, Henry, and Lebed, Richard F. Wed .  
"Precision model-independent bounds from a global analysis of b → c ℓ ν form factors".  United States.  https://doi.org/10.1103/PhysRevD.100.094503.

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@article{osti_1574071,

  title        = {Precision model-independent bounds from a global analysis of b → c ℓ ν form factors},

  author       = {Cohen, Thomas D. and Lamm, Henry and Lebed, Richard F.},

  abstractNote = {We present a model-independent global analysis of hadronic form factors for the semileptonic decays b→cℓν that exploits lattice-QCD data, dispersion relations, and heavy-quark symmetries. The analysis yields predictions for the relevant form factors, within quantifiable bounds. These form factors are used to compute the semileptonic ratios $R(H_c)$ and various decay-product polarizations. In particular, we find $R(D^{\ast}_s)$ = 0.20(3) and $R(J/\psi)$ = 0.25(3), predictions that can be compared to results of upcoming LHCb measurements. In developing this treatment, we obtain leading-order nonrelativistic QCD results for the nonzero-recoil relations between the $B^+_c → \{J/\psi, η_c\}$ form factors.},

  doi          = {10.1103/PhysRevD.100.094503},

  journal      = {Physical Review D},

  number       = 9,

  volume       = 100,

  place        = {United States},

  year         = {2019},

  month        = {11}

}

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Model-independent prediction of R(ηc) journal, December 2018

Measurement of the branching ratio of B ¯ 0 → D * + τ − ν ¯ τ relative to B ¯ 0 → D * + ℓ − ν ¯ ℓ decays with a semileptonic tagging method journal, October 2016

Measurement of the decay B → D ℓ ν ℓ in fully reconstructed events and determination of the Cabibbo-Kobayashi-Maskawa matrix element | V c b | journal, February 2016

Electroweak gauge boson self-energies: Complete QCD corrections journal, April 1994

Two-point functions for flavour changing currents in QCD journal, July 1981

Hadron properties from QCD sum rules journal, October 1985

Extraction of form Factors from a Four-Dimensional Angular Analysis of B ¯ → D * ℓ − ν ¯ ℓ journal, August 2019

Addendum to “Impact of polarization observables and B c → τ ν on new physics explanations of the b → c τ ν anomaly” journal, August 2019

Model-independent determination of B c + → η c ℓ + ν form factors journal, November 2018

Precision corrections to dispersive bounds on form factors journal, December 1997

Measurement of an excess of B ¯ → D ( * ) τ − ν ¯ τ decays and implications for charged Higgs bosons journal, October 2013

Measurement of the τ Lepton Polarization and R ( D * ) in the Decay B ¯ → D * τ − ν ¯ τ journal, May 2017

Lattice QCD form factor for B s → D s * l ν at zero recoil with nonperturbative current renormalization journal, June 2019

Combined analysis of semileptonic B decays to D and D * : R ( D ( * ) ) , | V c b | , and new physics journal, June 2017

Model-independent extraction of |Vcb| using dispersion relations journal, June 1995

Measurement of the Ratio of Branching Fractions B ( B ¯ 0 → D * + τ − ν ¯ τ ) / B ( B ¯ 0 → D * + μ − ν ¯ μ ) journal, September 2015

Measurement of the τ lepton polarization and R ( D * ) in the decay B ¯ → D * τ − ν ¯ τ with one-prong hadronic τ decays at Belle journal, January 2018

QCD contribution to vacuum polarization: The pseudoscalar unequal mass case journal, December 1980

R(D∗), |Vcb|, and the Heavy Quark Symmetry relations between form factors journal, November 2017

New Predictions for Λ b → Λ c Semileptonic Decays and Tests of Heavy Quark Symmetry journal, November 2018

Revisiting B → D ℓ ν journal, November 2016

Tests of the standard model in B → D ℓ ν ℓ , B → D * ℓ ν ℓ and B c → J / ψ ℓ ν ℓ journal, August 2018

Publisher’s Note: Measurement of the Ratio of Branching Fractions B ( B ¯ 0 → D * + τ − ν ¯ τ ) / B ( B ¯ 0 → D * + μ − ν ¯ μ ) [Phys. Rev. Lett. 115 , 111803 (2015)] journal, October 2015

Model-independent bounds on R(J/ψ) journal, September 2018

Weak decays of heavy mesons in the static quark approximation journal, November 1989

Observation of Two Excited B c + States and Measurement of the B c + ( 2 S ) Mass in p p Collisions at s = 13 TeV journal, April 2019

Bound on the curvature of the Isgur-Wise function of the baryon semileptonic decay Λ b → Λ c ℓ ν ¯ ℓ journal, January 2009

Measurement of the Ratio of the B 0 → D * − τ + ν τ and B 0 → D * − μ + ν μ Branching Fractions Using Three-Prong τ -Lepton Decays journal, April 2018

Improved QCD form factor constraints and journal, February 1997

Λ b → p ℓ − ν ¯ ℓ and Λ b → Λ c ℓ − ν ¯ ℓ form factors from lattice QCD with relativistic heavy quarks journal, August 2015

Extraction of |Vcb| from B → D(∗)ℓνℓ and the Standard Model predictions of R(D(∗)) journal, December 2017

B → D ℓ ν form factors at nonzero recoil and | V c b | from 2 + 1 -flavor lattice QCD journal, August 2015

Averages of b-hadron, c-hadron, and $$\tau $$ τ -lepton properties as of summer 2016 journal, December 2017

Title: Precision model-independent bounds from a global analysis of $b \to c ℓ ν$ form factors

Optimal-observable analysis of possible new physics in $B \to D^{(*)} τ ν_{τ}$
journal, February 2016

Impact of polarization observables and $B_{c} \to τ ν$ on new physics explanations of the $b \to c τ ν$ anomaly
journal, April 2019

Exclusive semileptonic decays of heavy mesons
journal, December 1985

Weak transition form factors between heavy mesons
journal, March 1990

Lattice QCD calculation of the $B_{(s)} \to D_{(s)}^{*} ℓ ν$ form factors at zero recoil and implications for $| V_{c b} |$
journal, March 2018

Electroweak gauge boson self-energies: Complete QCD corrections
journal, April 1996

Test of lepton flavor universality by the measurement of the $B^{0} \to {D^{*}}^{-} τ^{+} ν_{τ}$ branching fraction using three-prong $τ$ decays
journal, April 2018

Erratum: $B \to D l ν$ form factors at nonzero recoil and extraction of $| V_{c b} |$ [Phys. Rev. D 92 , 054510 (2015)]
journal, June 2016

Mesons with beauty and charm: New horizons in spectroscopy
journal, March 2019

Footprints of new physics in $b \to c τ ν$ transitions
journal, November 2018

Lepton flavor universality violation in semileptonic tree level weak transitions
journal, June 2019

Semileptonic Bc decay and heavy quark spin symmetry
journal, February 1993

Measurement of the branching ratio of $\bar{B} \to D^{()} τ^{-} {\bar{ν}}_{τ}$ relative to $\bar{B} \to D^{()} ℓ^{-} {\bar{ν}}_{ℓ}$ decays with hadronic tagging at Belle
journal, October 2015

Measurement of the Ratio of Branching Fractions $B (B_{c}^{+} \to J / ψ τ^{+} ν_{τ}) / B (B_{c}^{+} \to J / ψ μ^{+} ν_{μ})$
journal, March 2018

Heavy meson form factors from QCD
journal, October 1990

Semileptonic Bc-meson decays in sum rules of QCD and NRQCD
journal, March 2000

Baryons in the heavy quark effective theory
journal, May 1991

$$b \rightarrow c \tau \nu _{\tau }$$ b → c τ ν τ Decays: a catalogue to compare, constrain, and correlate new physics effects
journal, March 2019

Erratum: Combined analysis of semileptonic $B$ decays to $D$ and $D^{}$ : $R (D^{()})$ , $| V_{c b} |$ , and new physics [Phys. Rev. D 95 , 115008 (2017)]
journal, March 2018

Update of $| V_{c b} |$ from the $\bar{B} \to D^{*} ℓ \bar{ν}$ form factor at zero recoil with three-flavor lattice QCD
journal, June 2014

QCD sum rules I: Perturbative results for current correlators
journal, June 1990

Implications of new physics in the decays $B_{c} \to (J / ψ, η_{c}) τ ν$
journal, March 2018

Evidence for an Excess of $\bar{B} \to D^{(*)} τ^{-} {\bar{ν}}_{τ}$ Decays
journal, September 2012

Observation of $B_{c}^{+} \to J / ψ D^{()} K^{()}$ decays
journal, February 2017

Above-threshold poles in model-independent form factor parametrizations
journal, December 2015

$B \to D l ν$ form factors at nonzero recoil and extraction of $| V_{c b} |$
journal, September 2015

Leptonic and semileptonic decays of charm and bottom hadrons
journal, October 1995

Analyzing new physics in the decays ${\bar{B}}^{0} \to D^{(*)} τ^{-} {\bar{ν}}_{τ}$ with form factors obtained from the covariant quark model
journal, November 2016

Measurement of the shape of the $Λ_{b}^{0} \to Λ_{c}^{+} μ^{-} {\bar{ν}}_{μ}$ differential decay rate
journal, December 2017

Model-independent determinations of form factors
journal, February 1996

Looking for possible new physics in $B \to D^{(*)} τ ν_{τ}$ in light of recent data
journal, April 2017

Constraints on Form Factors for Exclusive Semileptonic Heavy to Light Meson Decays
journal, June 1995

Measurement of $| V_{cb} |$ and the Form-Factor Slope in $\bar{B} \to D ℓ^{-} {\bar{ν}}_{ℓ}$ Decays in Events Tagged by a Fully Reconstructed $B$ Meson
journal, January 2010

Model-independent prediction of R(ηc)
journal, December 2018

Measurement of the branching ratio of ${\bar{B}}^{0} \to D^{* +} τ^{-} {\bar{ν}}_{τ}$ relative to ${\bar{B}}^{0} \to D^{* +} ℓ^{-} {\bar{ν}}_{ℓ}$ decays with a semileptonic tagging method
journal, October 2016

Measurement of the decay $B \to D ℓ ν_{ℓ}$ in fully reconstructed events and determination of the Cabibbo-Kobayashi-Maskawa matrix element $| V_{c b} |$
journal, February 2016

Electroweak gauge boson self-energies: Complete QCD corrections
journal, April 1994

Two-point functions for flavour changing currents in QCD
journal, July 1981

Hadron properties from QCD sum rules
journal, October 1985

Extraction of form Factors from a Four-Dimensional Angular Analysis of $\bar{B} \to D^{*} ℓ^{-} {\bar{ν}}_{ℓ}$
journal, August 2019

Addendum to “Impact of polarization observables and $B_{c} \to τ ν$ on new physics explanations of the $b \to c τ ν$ anomaly”
journal, August 2019

Model-independent determination of $B_{c}^{+} \to η_{c} ℓ^{+} ν$ form factors
journal, November 2018

Precision corrections to dispersive bounds on form factors
journal, December 1997

Measurement of an excess of $\bar{B} \to D^{(*)} τ^{-} {\bar{ν}}_{τ}$ decays and implications for charged Higgs bosons
journal, October 2013

Measurement of the $τ$ Lepton Polarization and $R (D^{})$ in the Decay $\bar{B} \to D^{} τ^{-} {\bar{ν}}_{τ}$
journal, May 2017

Lattice QCD form factor for $B_{s} \to D_{s}^{*} l ν$ at zero recoil with nonperturbative current renormalization
journal, June 2019

Combined analysis of semileptonic $B$ decays to $D$ and $D^{}$ : $R (D^{()})$ , $| V_{c b} |$ , and new physics
journal, June 2017

Model-independent extraction of |Vcb| using dispersion relations
journal, June 1995

Measurement of the Ratio of Branching Fractions $B ({\bar{B}}^{0} \to D^{* +} τ^{-} {\bar{ν}}_{τ}) / B ({\bar{B}}^{0} \to D^{* +} μ^{-} {\bar{ν}}_{μ})$
journal, September 2015

Measurement of the $τ$ lepton polarization and $R (D^{})$ in the decay $\bar{B} \to D^{} τ^{-} {\bar{ν}}_{τ}$ with one-prong hadronic $τ$ decays at Belle
journal, January 2018

QCD contribution to vacuum polarization: The pseudoscalar unequal mass case
journal, December 1980

R(D∗), |Vcb|, and the Heavy Quark Symmetry relations between form factors
journal, November 2017

New Predictions for $Λ_{b} \to Λ_{c}$ Semileptonic Decays and Tests of Heavy Quark Symmetry
journal, November 2018

Revisiting $B \to D ℓ ν$
journal, November 2016

Tests of the standard model in $B \to D ℓ ν_{ℓ}$ , $B \to D^{*} ℓ ν_{ℓ}$ and $B_{c} \to J / ψ ℓ ν_{ℓ}$
journal, August 2018

Publisher’s Note: Measurement of the Ratio of Branching Fractions $B ({\bar{B}}^{0} \to D^{* +} τ^{-} {\bar{ν}}_{τ}) / B ({\bar{B}}^{0} \to D^{* +} μ^{-} {\bar{ν}}_{μ})$ [Phys. Rev. Lett. 115 , 111803 (2015)]
journal, October 2015

Model-independent bounds on R(J/ψ)
journal, September 2018

Weak decays of heavy mesons in the static quark approximation
journal, November 1989

Observation of Two Excited $B_{c}^{+}$ States and Measurement of the $B_{c}^{+} (2 S)$ Mass in $p p$ Collisions at $\sqrt{s} = 13 TeV$
journal, April 2019

Bound on the curvature of the Isgur-Wise function of the baryon semileptonic decay $Λ_{b} \to Λ_{c} ℓ {\bar{ν}}_{ℓ}$
journal, January 2009

Measurement of the Ratio of the $B^{0} \to D^{* -} τ^{+} ν_{τ}$ and $B^{0} \to D^{* -} μ^{+} ν_{μ}$ Branching Fractions Using Three-Prong $τ$ -Lepton Decays
journal, April 2018

Improved QCD form factor constraints and
journal, February 1997

$Λ_{b} \to p ℓ^{-} {\bar{ν}}_{ℓ}$ and $Λ_{b} \to Λ_{c} ℓ^{-} {\bar{ν}}_{ℓ}$ form factors from lattice QCD with relativistic heavy quarks
journal, August 2015

Extraction of |Vcb| from B → D(∗)ℓνℓ and the Standard Model predictions of R(D(∗))
journal, December 2017

$B \to D ℓ ν$ form factors at nonzero recoil and $| V_{c b} |$ from $2 + 1$ -flavor lattice QCD
journal, August 2015

Averages of b-hadron, c-hadron, and $$\tau $$ τ -lepton properties as of summer 2016
journal, December 2017