$|V_{ub}|$ from $B\to\pi\ell\nu$ decays and (2+1)-flavor lattice QCD

Bailey, Jon A.

doi:10.1103/PhysRevD.92.014024

Title: $$|V_{ub}|$$ from $$B\to\pi\ell\nu$$ decays and (2+1)-flavor lattice QCD

Abstract

We present a lattice-QCD calculation of the B → πℓν semileptonic form factors and a new determination of the CKM matrix element |V_ub|. We use the MILC asqtad (2+1)-flavor lattice configurations at four lattice spacings and light-quark masses down to 1/20 of the physical strange-quark mass. We extrapolate the lattice form factors to the continuum using staggered chiral perturbation theory in the hard-pion and SU(2) limits. We employ a model-independent z parametrization to extrapolate our lattice form factors from large-recoil momentum to the full kinematic range. We introduce a new functional method to propagate information from the chiral-continuum extrapolation to the z expansion. We present our results together with a complete systematic error budget, including a covariance matrix to enable the combination of our form factors with other lattice-QCD and experimental results. To obtain |V_ub|, we simultaneously fit the experimental data for the B → πℓν differential decay rate obtained by the BABAR and Belle collaborations together with our lattice form-factor results. We find |V_ub|=(3.72±0.16) × 10^–3, where the error is from the combined fit to lattice plus experiments and includes all sources of uncertainty. Our form-factor results bring the QCD error on |V_ub| to the same level as themore »« less

Authors:

Bailey, Jon A. ^[1]; et al.

Seoul National Univ., Seoul (South Korea). et al.

Publication Date:: Thu Jul 23 00:00:00 EDT 2015

Research Org.:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

Contributing Org.:: Fermilab Lattice and MIC Collaborations

OSTI Identifier:: 1234890

Alternate Identifier(s):: OSTI ID: 1213805

Report Number(s):: FERMILAB-PUB-15-108-T
Journal ID: ISSN 1550-7998; PRVDAQ; arXiv eprint number arXiv:1503.07839; TRN: US1600932

Grant/Contract Number:: AC02-07CH11359; FG02-91ER40628; FC02-12ER41879; SC0010120; FG02-91ER40661; FC02-06ER41443; FG02-13ER42001; No. DE-FG02-13ER41976; SC0010114

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. D, Particles, Fields, Gravitation and Cosmology

Additional Journal Information:: Journal Volume: 92; Journal Issue: 1; Journal ID: ISSN 1550-7998

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Bailey, Jon A., and et al. $|V_{ub}|$ from $B\to\pi\ell\nu$ decays and (2+1)-flavor lattice QCD.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevD.92.014024.

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                    Bailey, Jon A., & et al. $|V_{ub}|$ from $B\to\pi\ell\nu$ decays and (2+1)-flavor lattice QCD.  United States.  https://doi.org/10.1103/PhysRevD.92.014024

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                    Bailey, Jon A., and et al. Thu .  
"$|V_{ub}|$ from $B\to\pi\ell\nu$ decays and (2+1)-flavor lattice QCD".  United States.  https://doi.org/10.1103/PhysRevD.92.014024.  https://www.osti.gov/servlets/purl/1234890.

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@article{osti_1234890,

  title        = {$|V_{ub}|$ from $B\to\pi\ell\nu$ decays and (2+1)-flavor lattice QCD},

  author       = {Bailey, Jon A. and et al.},

  abstractNote = {We present a lattice-QCD calculation of the B → πℓν semileptonic form factors and a new determination of the CKM matrix element |Vub|. We use the MILC asqtad (2+1)-flavor lattice configurations at four lattice spacings and light-quark masses down to 1/20 of the physical strange-quark mass. We extrapolate the lattice form factors to the continuum using staggered chiral perturbation theory in the hard-pion and SU(2) limits. We employ a model-independent z parametrization to extrapolate our lattice form factors from large-recoil momentum to the full kinematic range. We introduce a new functional method to propagate information from the chiral-continuum extrapolation to the z expansion. We present our results together with a complete systematic error budget, including a covariance matrix to enable the combination of our form factors with other lattice-QCD and experimental results. To obtain |Vub|, we simultaneously fit the experimental data for the B → πℓν differential decay rate obtained by the BABAR and Belle collaborations together with our lattice form-factor results. We find |Vub|=(3.72±0.16) × 10–3, where the error is from the combined fit to lattice plus experiments and includes all sources of uncertainty. Our form-factor results bring the QCD error on |Vub| to the same level as the experimental error. We also provide results for the B → πℓν vector and scalar form factors obtained from the combined lattice and experiment fit, which are more precisely determined than from our lattice-QCD calculation alone. Lastly, these results can be used in other phenomenological applications and to test other approaches to QCD.},

  doi          = {10.1103/PhysRevD.92.014024},

  journal      = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},

  number       = 1,

  volume       = 92,

  place        = {United States},

  year         = {Thu Jul 23 00:00:00 EDT 2015},

  month        = {Thu Jul 23 00:00:00 EDT 2015}

}

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text, January 2016

Meyer, Aaron S.; Betancourt, Minerba; Gran, Richard
arXiv
DOI: 10.48550/arxiv.1603.03048

Opportunities for lattice QCD in quark and lepton flavor physics
text, January 2019

Lehner, Christoph; Meinel, Stefan; Blum, Tom
arXiv
DOI: 10.48550/arxiv.1904.09479

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Title: $$|V_{ub}|$$ from $$B\to\pi\ell\nu$$ decays and (2+1)-flavor lattice QCD

Abstract

Citation Formats

Functions of Positive and Negative Type, and their Connection with the Theory of Integral Equations journal, January 1909

Extrapolation and unitarity bounds for the B → π form factor journal, February 2015

Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks journal, October 2014

Unitary Symmetry and Leptonic Decays journal, June 1963

B meson semileptonic form factors from unquenched lattice QCD journal, April 2006

Semileptonic decays B → π l ν and D → π l ν from lattice QCD journal, May 2001

B → π l ν semileptonic form factor from three-flavor lattice QCD: A model-independent determination of | V ub | journal, March 2009

Heavy-light semileptonic decays in staggered chiral perturbation theory journal, July 2007

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

On the factorization of chiral logarithms in the pion form factors journal, September 2012

Review of Particle Physics journal, August 2014

B → π ℓ ν and B s → K ℓ ν form factors and | V u b | from 2 + 1 -flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks journal, April 2015

Static quark potential in three flavor QCD journal, July 2000

B → π and B → K transitions in partially quenched chiral perturbation theory journal, October 2003

Decay B → π ℓ ν in heavy quark effective theory journal, March 1994

Flavor-symmetry restoration and Symanzik improvement for staggered quarks journal, February 1999

Proposal for a Precision Measurement of | V u b | journal, November 2004

Improved staggered quark actions with reduced flavor symmetry violations for lattice QCD journal, December 1998

Update of | V c b | from the B ¯ → D * ℓ ν ¯ form factor at zero recoil with three-flavor lattice QCD journal, June 2014

C P -Violation in the Renormalizable Theory of Weak Interaction journal, February 1973

Study of exclusive B → X u ℓ ν decays and extraction of | V u b | using full reconstruction tagging at the Belle experiment journal, August 2013

Axial Couplings and Strong Decay Widths of Heavy Hadrons journal, April 2012

Variants of fattening and flavor symmetry restoration journal, July 1999

Staggered chiral perturbation theory for heavy-light mesons journal, January 2006

Hard pion chiral perturbation theory for and formfactors journal, November 2010

QCD spectrum with three quark flavors journal, August 2001

Light hadrons with improved staggered quarks: Approaching the continuum limit journal, November 2004

Improved continuum limit lattice action for QCD with wilson fermions journal, September 1985

B - and D -meson decay constants from three-flavor lattice QCD journal, June 2012

Calculation of the heavy-hadron axial couplings g 1 , g 2 , and g 3 using lattice QCD journal, June 2012

Erratum to “Hard pion chiral perturbation theory for B → π and D → π formfactors” [Nucl. Phys. B 840 (2010) 54–66] journal, March 2011

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

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

Erratum: B meson semileptonic form factors from unquenched lattice QCD [Phys. Rev. D 73 , 074502 (2006)] journal, June 2007

Nonperturbative QCD simulations with 2 + 1 flavors of improved staggered quarks journal, May 2010

Testing improved actions for dynamical Kogut-Susskind quarks journal, November 1998

Application of heavy-quark effective theory to lattice QCD. II. Radiative corrections to heavy-light currents journal, May 2002

Continuum limit improved lattice action for pure Yang-Mills theory (I) journal, February 1983

Lattice QCD ensembles with four flavors of highly improved staggered quarks journal, March 2013

On-shell improved lattice gauge theories journal, March 1985

Improving flavor symmetry in the Kogut-Susskind hadron spectrum journal, February 1997

Chiral perturbation theory for hadrons containing a heavy quark journal, April 1992

Domain wall QCD with near-physical pions journal, May 2013

Determination of | V u s | from a Lattice QCD Calculation of the K → π ℓ ν Semileptonic Form Factor with Physical Quark Masses journal, March 2014

The unitarity triangle fit in the standard model and hadronic parameters from lattice QCD: a reappraisal after the measurements of Δ m s and BR ( B →τν τ ) journal, October 2006

Massive fermions in lattice gauge theory journal, April 1997

Erratum: Application of heavy-quark effective theory to lattice QCD. II. Radiative corrections to heavy-light currents [Phys. Rev. D 65 , 094513 (2002)] journal, January 2005

Continuum limit improved lattice action for pure Yang-Mills theory (II) journal, April 1984

A new way to set the energy scale in lattice gauge theories and its application to the static force and σs in SU (2) Yang-Mills theory journal, January 1994

Branching fraction and form-factor shape measurements of exclusive charmless semileptonic B decays, and determination of | V u b | journal, November 2012

Measurement of the decay B 0 → π − ℓ + ν and determination of | V u b | journal, April 2011

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

On-shell improved lattice gauge theories journal, September 1985

| V c d | from D meson leptonic decays journal, September 2012

Heavy-light mesons with staggered light quarks journal, March 2003

Application of heavy-quark effective theory to lattice QCD: Power corrections journal, June 2000

Lattice QCD inputs to the CKM unitarity triangle analysis journal, February 2010

Can the Differences in the Determinations of V u b and V c b Be Explained by New Physics? journal, January 2015

Study of B → π l ν and B → ρ l ν decays and determination of | V u b | journal, February 2011

Viability of lattice perturbation theory journal, September 1993

Precise determination of the lattice spacing in full lattice QCD journal, February 2010

Scaling tests of the improved Kogut-Susskind quark action journal, April 2000

Heavy-to-light scalar form factors from Muskhelishvili–Omnès dispersion relations journal, April 2018

FLAG Review 2019: Flavour Lattice Averaging Group (FLAG) journal, February 2020

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

Impact of leptonic $$\tau $$ τ decays on the distribution of $$B\rightarrow P\mu \bar{\nu }$$ B → P μ ν ¯ decays journal, June 2016

Probing lepton universality with (semi)-leptonic B decays journal, January 2019

Patterns of flavour violation in models with vector-like quarks journal, April 2017

FLAG Review 2019 text, January 2019

Extraction of bare form factors for Bs →Kℓν decays in nonperturbative HQET text, January 2019

Opportunities for Lattice QCD in quark and lepton flavor physics journal, November 2019

Phenomenological applications of rational approximants journal, September 2016

FLAG Review 2019 text, January 2020

FLAG Review 2019 text, January 2020

Search for B−→μ−¯νμ Decays at the Belle Experiment text, January 2018

Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the ϕ meson text, January 2017

Deuterium target data for precision neutrino-nucleus cross sections text, January 2016

Functions of Positive and Negative Type, and their Connection with the Theory of Integral Equations
journal, January 1909

Extrapolation and unitarity bounds for the B → π form factor
journal, February 2015

Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
journal, October 2014

Unitary Symmetry and Leptonic Decays
journal, June 1963

$B$ meson semileptonic form factors from unquenched lattice QCD
journal, April 2006

Semileptonic decays $\vec{B} π l ν$ and $\vec{D} π l ν$ from lattice QCD
journal, May 2001

$B \to π l ν$ semileptonic form factor from three-flavor lattice QCD: A model-independent determination of $| V_{ub} |$
journal, March 2009

Heavy-light semileptonic decays in staggered chiral perturbation theory
journal, July 2007

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

On the factorization of chiral logarithms in the pion form factors
journal, September 2012

Review of Particle Physics
journal, August 2014

$B \to π ℓ ν$ and $B_{s} \to K ℓ ν$ form factors and $| V_{u b} |$ from $2 + 1$ -flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
journal, April 2015

Static quark potential in three flavor QCD
journal, July 2000

$\vec{B} π$ and $\vec{B} K$ transitions in partially quenched chiral perturbation theory
journal, October 2003

Decay $B \to π ℓ ν$ in heavy quark effective theory
journal, March 1994

Flavor-symmetry restoration and Symanzik improvement for staggered quarks
journal, February 1999

Proposal for a Precision Measurement of $| V_{u b} |$
journal, November 2004

Improved staggered quark actions with reduced flavor symmetry violations for lattice QCD
journal, December 1998

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

C P -Violation in the Renormalizable Theory of Weak Interaction
journal, February 1973

Study of exclusive $B \to X_{u} ℓ ν$ decays and extraction of $| V_{u b} |$ using full reconstruction tagging at the Belle experiment
journal, August 2013

Axial Couplings and Strong Decay Widths of Heavy Hadrons
journal, April 2012

Variants of fattening and flavor symmetry restoration
journal, July 1999

Staggered chiral perturbation theory for heavy-light mesons
journal, January 2006

Hard pion chiral perturbation theory for and formfactors
journal, November 2010

QCD spectrum with three quark flavors
journal, August 2001

Light hadrons with improved staggered quarks: Approaching the continuum limit
journal, November 2004

Improved continuum limit lattice action for QCD with wilson fermions
journal, September 1985

$B$ - and $D$ -meson decay constants from three-flavor lattice QCD
journal, June 2012

Calculation of the heavy-hadron axial couplings $g_{1}$ , $g_{2}$ , and $g_{3}$ using lattice QCD
journal, June 2012

Erratum to “Hard pion chiral perturbation theory for $B \to π$ and $D \to π$ formfactors” [Nucl. Phys. B 840 (2010) 54–66]
journal, March 2011

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

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

Erratum: $B$ meson semileptonic form factors from unquenched lattice QCD [Phys. Rev. D 73 , 074502 (2006)]
journal, June 2007

Nonperturbative QCD simulations with $2 + 1$ flavors of improved staggered quarks
journal, May 2010

Testing improved actions for dynamical Kogut-Susskind quarks
journal, November 1998

Application of heavy-quark effective theory to lattice QCD. II. Radiative corrections to heavy-light currents
journal, May 2002

Continuum limit improved lattice action for pure Yang-Mills theory (I)
journal, February 1983

Lattice QCD ensembles with four flavors of highly improved staggered quarks
journal, March 2013

On-shell improved lattice gauge theories
journal, March 1985

Improving flavor symmetry in the Kogut-Susskind hadron spectrum
journal, February 1997

Chiral perturbation theory for hadrons containing a heavy quark
journal, April 1992

Domain wall QCD with near-physical pions
journal, May 2013

Determination of $| V_{u s} |$ from a Lattice QCD Calculation of the $K \to π ℓ ν$ Semileptonic Form Factor with Physical Quark Masses
journal, March 2014

The unitarity triangle fit in the standard model and hadronic parameters from lattice QCD: a reappraisal after the measurements of Δ m _s and BR ( B →τν _τ )
journal, October 2006

Massive fermions in lattice gauge theory
journal, April 1997

Erratum: Application of heavy-quark effective theory to lattice QCD. II. Radiative corrections to heavy-light currents [Phys. Rev. D 65 , 094513 (2002)]
journal, January 2005

Continuum limit improved lattice action for pure Yang-Mills theory (II)
journal, April 1984

A new way to set the energy scale in lattice gauge theories and its application to the static force and σs in SU (2) Yang-Mills theory
journal, January 1994

Branching fraction and form-factor shape measurements of exclusive charmless semileptonic $B$ decays, and determination of $| V_{u b} |$
journal, November 2012

Measurement of the decay $B^{0} \to π^{-} ℓ^{+} ν$ and determination of $| V_{u b} |$
journal, April 2011

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

On-shell improved lattice gauge theories
journal, September 1985

$| V_{c d} |$ from $D$ meson leptonic decays
journal, September 2012

Heavy-light mesons with staggered light quarks
journal, March 2003

Application of heavy-quark effective theory to lattice QCD: Power corrections
journal, June 2000

Lattice QCD inputs to the CKM unitarity triangle analysis
journal, February 2010

Can the Differences in the Determinations of $V_{u b}$ and $V_{c b}$ Be Explained by New Physics?
journal, January 2015

Study of $B \to π l ν$ and $B \to ρ l ν$ decays and determination of $| V_{u b} |$
journal, February 2011

Viability of lattice perturbation theory
journal, September 1993

Precise determination of the lattice spacing in full lattice QCD
journal, February 2010

Scaling tests of the improved Kogut-Susskind quark action
journal, April 2000

Heavy-to-light scalar form factors from Muskhelishvili–Omnès dispersion relations
journal, April 2018

FLAG Review 2019: Flavour Lattice Averaging Group (FLAG)
journal, February 2020

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

Impact of leptonic $$\tau $$ τ decays on the distribution of $$B\rightarrow P\mu \bar{\nu }$$ B → P μ ν ¯ decays
journal, June 2016

Probing lepton universality with (semi)-leptonic B decays
journal, January 2019

Patterns of flavour violation in models with vector-like quarks
journal, April 2017

FLAG Review 2019
text, January 2019

Extraction of bare form factors for Bs →Kℓν decays in nonperturbative HQET
text, January 2019

Opportunities for Lattice QCD in quark and lepton flavor physics
journal, November 2019

Phenomenological applications of rational approximants
journal, September 2016

FLAG Review 2019
text, January 2020

FLAG Review 2019
text, January 2020

Search for B−→μ−¯νμ Decays at the Belle Experiment
text, January 2018

Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the ϕ meson
text, January 2017

Deuterium target data for precision neutrino-nucleus cross sections
text, January 2016

Opportunities for lattice QCD in quark and lepton flavor physics
text, January 2019