Precise predictions for Λ b → Λ c semileptonic decays

Bernlochner, Florian U.; Ligeti, Zoltan; Robinson, Dean J.; Sutcliffe, William L.

doi:10.1103/PhysRevD.99.055008

Title: Precise predictions for $Λ_{b} \to Λ_{c}$ semileptonic decays

Abstract

We calculate the $${\mathrm{\ {\Lambda}}}_{b}\ {\rightarrow}{\mathrm{\ {\Lambda}}}_{c}\ {\ell}\ {\nu}$$ form factors and decay rates for all possible $$b\ {\rightarrow}c\ {\ell}\overline{\ {\nu}}$$ four-Fermi interactions beyond the Standard Model, including nonzero charged lepton masses and terms up to order $${\ {\alpha}}_{s}{\mathrm{\ {\Lambda}}}_{\mathrm{QCD}}/{m}_{c,b}$$ and $${\mathrm{\ {\Lambda}}}_{\mathrm{QCD}}^{2}/{m}_{c}^{2}$$ in the heavy quark effective theory. At this order, we obtain model independent predictions for semileptonic $${\mathrm{\ {\Lambda}}}_{b}\ {\rightarrow}{\mathrm{\ {\Lambda}}}_{c}$$ decays in terms of only two unknown sub-subleading Isgur-Wise functions, which can be determined from fitting LHCb and lattice QCD data. We thus obtain model independent results for $${\mathrm{\ {\Lambda}}}_{b}\ {\rightarrow}{\mathrm{\ {\Lambda}}}_{c}\ {\ell}\overline{\ {\nu}}$$ decays, including predictions for the ratio $$R({\mathrm{\ {\Lambda}}}_{c})=\mathcal{B}({\mathrm{\ {\Lambda}}}_{b}\ {\rightarrow}{\mathrm{\ {\Lambda}}}_{c}\ {\tau}\overline{\ {\nu}})/\mathcal{B}({\mathrm{\ {\Lambda}}}_{b}\ {\rightarrow}{\mathrm{\ {\Lambda}}}_{c}\ {\mu}\overline{\ {\nu}})$$ in the presence of new physics, that are more precise than prior results in the literature, and systematically improvable with better data on the decays with $$\ {\mu}$$ (or $$e$$) in the final state. We also explore tests of factorization in $${\mathrm{\ {\Lambda}}}_{b}\ {\rightarrow}{\mathrm{\ {\Lambda}}}_{c}\ {\pi}$$ decays, and we emphasize the importance of measuring at LHCb the double differential rate $${d}^{2}\mathrm{\ {\Gamma}}({\mathrm{\ {\Lambda}}}_{b}\ {\rightarrow}{\mathrm{\ {\Lambda}}}_{c}\ {\ell}\overline{\ {\nu}})/(d{q}^{2}d\mathrm{cos}\ {\theta})$$, in addition to the $${q}^{2}$$ spectrum.

Authors:: Bernlochner, Florian U.; Ligeti, Zoltan; Robinson, Dean J.; Sutcliffe, William L.

Publication Date:: Mon Mar 11 00:00:00 EDT 2019

Research Org.:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

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

OSTI Identifier:: 1498808

Alternate Identifier(s):: OSTI ID: 1632126

Grant/Contract Number:: AC02-05CH11231; PHY-1720252; PHY-1607611; BE 6075/1-1

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 99 Journal Issue: 5; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Bernlochner, Florian U., Ligeti, Zoltan, Robinson, Dean J., and Sutcliffe, William L. Precise predictions for Λ b → Λ c semileptonic decays.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.99.055008.

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                    Bernlochner, Florian U., Ligeti, Zoltan, Robinson, Dean J., & Sutcliffe, William L. Precise predictions for Λ b → Λ c semileptonic decays.  United States.  https://doi.org/10.1103/PhysRevD.99.055008

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                    Bernlochner, Florian U., Ligeti, Zoltan, Robinson, Dean J., and Sutcliffe, William L. Mon .  
"Precise predictions for Λ b → Λ c semileptonic decays".  United States.  https://doi.org/10.1103/PhysRevD.99.055008.

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@article{osti_1498808,

  title        = {Precise predictions for Λ b → Λ c semileptonic decays},

  author       = {Bernlochner, Florian U. and Ligeti, Zoltan and Robinson, Dean J. and Sutcliffe, William L.},

  abstractNote = {We calculate the ${\mathrm{\ {\Lambda}}}_{b}\ {\rightarrow}{\mathrm{\ {\Lambda}}}_{c}\ {\ell}\ {\nu}$ form factors and decay rates for all possible $b\ {\rightarrow}c\ {\ell}\overline{\ {\nu}}$ four-Fermi interactions beyond the Standard Model, including nonzero charged lepton masses and terms up to order ${\ {\alpha}}_{s}{\mathrm{\ {\Lambda}}}_{\mathrm{QCD}}/{m}_{c,b}$ and ${\mathrm{\ {\Lambda}}}_{\mathrm{QCD}}^{2}/{m}_{c}^{2}$ in the heavy quark effective theory. At this order, we obtain model independent predictions for semileptonic ${\mathrm{\ {\Lambda}}}_{b}\ {\rightarrow}{\mathrm{\ {\Lambda}}}_{c}$ decays in terms of only two unknown sub-subleading Isgur-Wise functions, which can be determined from fitting LHCb and lattice QCD data. We thus obtain model independent results for ${\mathrm{\ {\Lambda}}}_{b}\ {\rightarrow}{\mathrm{\ {\Lambda}}}_{c}\ {\ell}\overline{\ {\nu}}$ decays, including predictions for the ratio $R({\mathrm{\ {\Lambda}}}_{c})=\mathcal{B}({\mathrm{\ {\Lambda}}}_{b}\ {\rightarrow}{\mathrm{\ {\Lambda}}}_{c}\ {\tau}\overline{\ {\nu}})/\mathcal{B}({\mathrm{\ {\Lambda}}}_{b}\ {\rightarrow}{\mathrm{\ {\Lambda}}}_{c}\ {\mu}\overline{\ {\nu}})$ in the presence of new physics, that are more precise than prior results in the literature, and systematically improvable with better data on the decays with $\ {\mu}$ (or $e$) in the final state. We also explore tests of factorization in ${\mathrm{\ {\Lambda}}}_{b}\ {\rightarrow}{\mathrm{\ {\Lambda}}}_{c}\ {\pi}$ decays, and we emphasize the importance of measuring at LHCb the double differential rate ${d}^{2}\mathrm{\ {\Gamma}}({\mathrm{\ {\Lambda}}}_{b}\ {\rightarrow}{\mathrm{\ {\Lambda}}}_{c}\ {\ell}\overline{\ {\nu}})/(d{q}^{2}d\mathrm{cos}\ {\theta})$, in addition to the ${q}^{2}$ spectrum.},

  doi          = {10.1103/PhysRevD.99.055008},

  journal      = {Physical Review. D.},

  number       = 5,

  volume       = 99,

  place        = {United States},

  year         = {Mon Mar 11 00:00:00 EDT 2019},

  month        = {Mon Mar 11 00:00:00 EDT 2019}

}

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FIG. 1: Left: The data points show the LHCb measurement of the normalized dΓ(Λ_b → $Λ_cμ\barν$) = dq² spectrum. The red band shows our fit of the HQET predictions to these data and to the LQCD form factors. The blue curve shows the fit results, setting the order $Λ^{2}_{QCD}$/$m^{2}_{c}$ termsmore »

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Title: Precise predictions for Λ b → Λ c semileptonic decays

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Figures / Tables:

Phenomenology of Λ b → Λ c τ ν ¯ τ $$ {\Lambda}_b\to {\Lambda}_c\tau {\overline{\nu}}_{\tau } $$ using lattice QCD calculations journal, August 2017

New physics in the visible final states of B → D(∗) τν journal, January 2017

Testing lepton flavour universality in semileptonic Λb → Λ c * decays journal, June 2018

Reparametrization invariance and the expansion of currents in the heavy quark effective theory journal, June 1993

Test of lepton flavor universality by the measurement of the B 0 → D * − τ + ν τ branching fraction using three-prong τ decays journal, April 2018

Extracting short distance information from b → s ℓ + ℓ − effectively journal, February 2007

Heavy-baryon weak form factors journal, January 1991

Heavy-quark symmetry journal, September 1994

Erratum: Form factors for Λ b → Λ transitions in the soft-collinear effective theory [Phys. Rev. D 85 , 014035 (2012)] journal, October 2012

Erratum: Model-independent description of B → π l ν decays and a determination of | V u b | [Phys. Rev. DPRVDAQ1550-7998 79 , 013008 (2009)] journal, November 2010

Erratum: Semileptonic decay Λ b → Λ c + τ − + ν ¯ τ in the covariant confined quark model [Phys. Rev. D 91 , 074001 (2015)] journal, June 2015

Perspectives on Higgs Physics II book, November 1997

Heavy meson form factors from QCD journal, October 1990

Second-order power corrections in the heavy-quark effective theory. II. Baryon form factors journal, April 1993

Measurements of Absolute Hadronic Branching Fractions of the Λ c + Baryon journal, February 2016

B → D*l v at non-zero recoil journal, January 2018

Minimally flavored colored scalar in $ \overline{B}\to {D^{{\left( * \right)}}}\tau \overline{\nu} $ and the mass matrices constraints journal, November 2013

Semileptonic Λ b decay to excited Λ c baryons at order Λ QCD / m Q journal, May 1998

Model-independent analysis of semileptonic B decays to D * * for arbitrary new physics journal, April 2018

Review of Particle Physics journal, August 2018

Measurement of the Branching Fraction B ( Λ c + → p K − π + ) journal, July 2014

Semileptonic Λ b → Λ c ℓ ν ¯ ℓ transition in full QCD journal, April 2018

Form Factor Ratio Measurement in Λ c + → Λ e + ν e journal, July 1995

An effective field theory for heavy quarks at low energies journal, April 1990

Measurement of the shape of the Λ b 0 → Λ c + μ − ν ¯ μ differential decay rate journal, December 2017

Λb semileptonic decay form factors for mc ≠ ∞ journal, December 1990

Model-independent determinations of form factors journal, February 1996

Two-body non-leptonic heavy-to-heavy decays at NNLO in QCD factorization journal, September 2016

Semileptonic decay Λ b → Λ c + τ − + ν ¯ τ in the covariant confined quark model journal, April 2015

Analyticity, shapes of semileptonic form factors, and B ¯ → π l ν ¯ journal, July 1997

Searches for $ \Lambda_b^0 $ and $ \Xi_b^0 $ decays to $ K_{\mathrm{S}}^0p{\pi^{-}} $ and $ K_{\mathrm{S}}^0p{K^{-}} $ final states with first observation of the $ \Lambda_b^0\to K_{\mathrm{S}}^0p{\pi^{-}} $ decay journal, April 2014

Tensions and correlations in | V c b | determinations journal, November 2017

B decays in the upsilon expansion journal, March 1999

An effective field theory for the calculation of matrix elements involving heavy quarks journal, January 1990

Global analysis of inclusive B decays journal, November 2004

Detailed study of the Λb → Λcτν̄τ decay journal, October 2018

Polarization effects in exclusive semi-leptonic Λc and Λb charm and bottom baryon decays journal, January 1992

Λ b → Λ c τ ν ¯ τ decay in the standard model and with new physics journal, June 2015

It’s all right(-handed neutrinos): a new W ′ model for the R D ∗ $$ {R}_{D^{{}_{\left(\ast \right)}}} $$ anomaly journal, September 2018

Study of the kinematic dependences of Λ b 0 production in pp collisions and a measurement of the Λ b 0 → Λ c + π − branching fraction journal, August 2014

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

Λ b → ( Λ c , p ) τ ν decays within standard model and beyond journal, March 2016

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

Renormalization of heavy-quark currents journal, March 1992

Semileptonic B ( s ) decays to excited charmed mesons with e , μ , τ and searching for new physics with R ( D * * ) journal, January 2017

A fresh look at the determination of | V cb | from B → D ⁎ lν journal, June 2017

1 S and MS ¯ bottom quark masses from Υ sum rules journal, December 1999

Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG) journal, February 2017

Model-independent extraction of |V| from B ¯ → D ⁎ ℓ ν ‾ journal, August 2017

B decay shape variables and the precision determination of | V cb | and m b journal, March 2003

Predictions for nonleptonic Λb and Θb decays journal, April 2004

Heavy meson pair production in e+e− annihilation from the static quark effective theory journal, October 1990

Semileptonic decay of the $\Lambda_b$ baryon conference, April 2014

Proof of Factorization for B → D π journal, October 2001

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

Λ b → Λ c τ ν ¯ τ $$ {\varLambda}_b\to {\varLambda}_c\tau {\overline{\nu}}_{\tau } $$ decay in scalar and vector leptoquark scenarios journal, February 2017

Semileptonic B decays to excited charmed mesons journal, January 1998

HAMMER: Reweighting tool for simulated data samples conference, April 2017

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

Improved Measurement of the Form Factors in the Decay Λ c + → Λ e + ν e journal, May 2005

Effects of subleading operators in the heavy quark effective theory journal, December 1990

Leading logarithms of heavy quark masses in processes with light and heavy quarks journal, June 1988

B Decay and the ϒ Mass journal, January 1999

Precise predictions for B → X c τ ν ¯ decay distributions journal, August 2014

R(D(∗)) from W ′ and right-handed neutrinos journal, September 2018

Model-independent description of B → π l ν decays and a determination of | V u b | journal, January 2009

Form factors for Λ b → Λ transitions in the soft-collinear effective theory journal, January 2012

Improved QCD form factor constraints and journal, February 1997

Flavor models for B ¯ → D ( * ) τ ν ¯ journal, September 2015

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

Predictions for B → D 1 ( 2420 ) ℓ ν ¯ and B → D 2 * ( 2460 ) ℓ ν ¯ at Order Λ QCD / m c , b journal, May 1997

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

Measurement of σ Λ b 0 / σ B ¯ 0 × B ( Λ b 0 → Λ c + π − ) / B ( B ¯ 0 → D + π − ) in p p ¯ Collisions at s = 1.96 TeV journal, March 2007

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

Title: Precise predictions for $Λ_{b} \to Λ_{c}$ semileptonic decays

Phenomenology of Λ b → Λ c τ ν ¯ τ $$ {\Lambda}_b\to {\Lambda}_c\tau {\overline{\nu}}_{\tau } $$ using lattice QCD calculations
journal, August 2017

New physics in the visible final states of B → D(∗) τν
journal, January 2017

Testing lepton flavour universality in semileptonic Λb → Λ c * decays
journal, June 2018

Reparametrization invariance and the expansion of currents in the heavy quark effective theory
journal, June 1993

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

Extracting short distance information from $b \to s ℓ^{+} ℓ^{-}$ effectively
journal, February 2007

Heavy-baryon weak form factors
journal, January 1991

Heavy-quark symmetry
journal, September 1994

Erratum: Form factors for $Λ_{b} \to Λ$ transitions in the soft-collinear effective theory [Phys. Rev. D 85 , 014035 (2012)]
journal, October 2012

Erratum: Model-independent description of $B \to π l ν$ decays and a determination of $| V_{u b} |$ [Phys. Rev. DPRVDAQ1550-7998 79 , 013008 (2009)]
journal, November 2010

Erratum: Semileptonic decay $Λ_{b} \to Λ_{c} + τ^{-} + {\bar{ν}}_{τ}$ in the covariant confined quark model [Phys. Rev. D 91 , 074001 (2015)]
journal, June 2015

Perspectives on Higgs Physics II
book, November 1997

Heavy meson form factors from QCD
journal, October 1990

Second-order power corrections in the heavy-quark effective theory. II. Baryon form factors
journal, April 1993

Measurements of Absolute Hadronic Branching Fractions of the $Λ_{c}^{+}$ Baryon
journal, February 2016

B → Dl* v at non-zero recoil
journal, January 2018

Minimally flavored colored scalar in $ \overline{B}\to {D^{{\left( * \right)}}}\tau \overline{\nu} $ and the mass matrices constraints
journal, November 2013

Semileptonic $Λ_{b}$ decay to excited $Λ_{c}$ baryons at order $Λ_{QCD} {/ m}_{Q}$
journal, May 1998

Model-independent analysis of semileptonic $B$ decays to $D^{* *}$ for arbitrary new physics
journal, April 2018

Review of Particle Physics
journal, August 2018

Measurement of the Branching Fraction $B (Λ_{c}^{+} \to p K^{-} π^{+})$
journal, July 2014

Semileptonic $Λ_{b} \to Λ_{c} ℓ {\bar{ν}}_{ℓ}$ transition in full QCD
journal, April 2018

Form Factor Ratio Measurement in $Λ_{c}^{+} \to Λ e^{+} ν_{e}$
journal, July 1995

An effective field theory for heavy quarks at low energies
journal, April 1990

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

Λb semileptonic decay form factors for mc ≠ ∞
journal, December 1990

Model-independent determinations of form factors
journal, February 1996

Two-body non-leptonic heavy-to-heavy decays at NNLO in QCD factorization
journal, September 2016

Semileptonic decay $Λ_{b} \to Λ_{c} + τ^{-} + {\bar{ν}}_{τ}$ in the covariant confined quark model
journal, April 2015

Analyticity, shapes of semileptonic form factors, and $\bar{B} \to π l \bar{ν}$
journal, July 1997

Searches for $ \Lambda_b^0 $ and $ \Xi_b^0 $ decays to $ K_{\mathrm{S}}^0p{\pi^{-}} $ and $ K_{\mathrm{S}}^0p{K^{-}} $ final states with first observation of the $ \Lambda_b^0\to K_{\mathrm{S}}^0p{\pi^{-}} $ decay
journal, April 2014

Tensions and correlations in $| V_{c b} |$ determinations
journal, November 2017

$B$ decays in the upsilon expansion
journal, March 1999

An effective field theory for the calculation of matrix elements involving heavy quarks
journal, January 1990

Global analysis of inclusive $B$ decays
journal, November 2004

Detailed study of the Λb → Λcτν̄τ decay
journal, October 2018

Polarization effects in exclusive semi-leptonic Λc and Λb charm and bottom baryon decays
journal, January 1992

$Λ_{b} \to Λ_{c} τ {\bar{ν}}_{τ}$ decay in the standard model and with new physics
journal, June 2015

It’s all right(-handed neutrinos): a new W ′ model for the R D ∗ $$ {R}_{D^{{}_{\left(\ast \right)}}} $$ anomaly
journal, September 2018

Study of the kinematic dependences of Λ b 0 production in pp collisions and a measurement of the Λ b 0 → Λ c + π − branching fraction
journal, August 2014

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

$Λ_{b} \to (Λ_{c}, p) τ ν$ decays within standard model and beyond
journal, March 2016

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

Renormalization of heavy-quark currents
journal, March 1992

Semileptonic $B_{(s)}$ decays to excited charmed mesons with $e$ , $μ$ , $τ$ and searching for new physics with $R (D * *)$
journal, January 2017

A fresh look at the determination of | V cb | from B → D ⁎ lν
journal, June 2017

$1 S$ and $\bar{MS}$ bottom quark masses from $Υ$ sum rules
journal, December 1999

Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG)
journal, February 2017

Model-independent extraction of |V| from $\bar{B} \to D^{⁎} ℓ \overline{ν}$
journal, August 2017

$B$ decay shape variables and the precision determination of $| V_{cb} |$ and $m_{b}$
journal, March 2003

Predictions for nonleptonic Λb and Θb decays
journal, April 2004

Heavy meson pair production in e+e− annihilation from the static quark effective theory
journal, October 1990

Semileptonic decay of the $\Lambda_b$ baryon
conference, April 2014

Proof of Factorization for $B \to D π$
journal, October 2001

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

Λ b → Λ c τ ν ¯ τ $$ {\varLambda}_b\to {\varLambda}_c\tau {\overline{\nu}}_{\tau } $$ decay in scalar and vector leptoquark scenarios
journal, February 2017

Semileptonic $B$ decays to excited charmed mesons
journal, January 1998

HAMMER: Reweighting tool for simulated data samples
conference, April 2017

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

Improved Measurement of the Form Factors in the Decay $Λ_{c}^{+} \to Λ e^{+} ν_{e}$
journal, May 2005

Effects of subleading operators in the heavy quark effective theory
journal, December 1990

Leading logarithms of heavy quark masses in processes with light and heavy quarks
journal, June 1988

$B$ Decay and the $ϒ$ Mass
journal, January 1999

Precise predictions for $B \to X_{c} τ \bar{ν}$ decay distributions
journal, August 2014

R(D(∗)) from W ′ and right-handed neutrinos
journal, September 2018

Model-independent description of $B \to π l ν$ decays and a determination of $| V_{u b} |$
journal, January 2009

Form factors for $Λ_{b} \to Λ$ transitions in the soft-collinear effective theory
journal, January 2012

Improved QCD form factor constraints and
journal, February 1997

Flavor models for $\bar{B} \to D^{(*)} τ \bar{ν}$
journal, September 2015

$Λ_{b} \to p ℓ^{-} {\bar{ν}}_{ℓ}$ 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

Predictions for $B \to D_{1} (2420) ℓ \bar{ν}$ and $B \to D_{2}^{*} (2460) ℓ \bar{ν}$ at Order $Λ_{QCD} / m_{c, b}$
journal, May 1997

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

Measurement of $σ_{Λ_{b}^{0}} / σ_{{\bar{B}}^{0}} \times B (Λ_{b}^{0} \to Λ_{c}^{+} π^{-}) / B ({\bar{B}}^{0} \to D^{+} π^{-})$ in $p \bar{p}$ Collisions at $\sqrt{s} = 1.96 TeV$
journal, March 2007

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