B - and D -meson leptonic decay constants from four-flavor lattice QCD

Bazavov, A.; Bernard, C.; Brown, N.; DeTar, C.; El-Khadra, A. X.; Gámiz, E.; Gottlieb, Steven; Heller, U. M.; Komijani, J.; Kronfeld, A. S.; Laiho, J.; Mackenzie, P. B.; Neil, E. T.; Simone, J. N.; Sugar, R. L.; Toussaint, D.; Van de Water, R. S.

doi:10.1103/PhysRevD.98.074512

Title: $B$ - and $D$ -meson leptonic decay constants from four-flavor lattice QCD

Abstract

Here, we calculate the leptonic decay constants of heavy-light pseudoscalar mesons with charm and bottom quarks in lattice quantum chromodynamics on four-flavor QCD gauge-field configurations with dynamical $$u$$, $$d$$, $$s$$, and $$c$$ quarks. We analyze over twenty isospin-symmetric ensembles with six lattice spacings down to $$a\approx 0.03$$~fm and several values of the light-quark mass down to the physical value $$\frac{1}{2}(m_u+m_d)$$. We employ the highly-improved staggered-quark (HISQ) action for the sea and valence quarks; on the finest lattice spacings, discretization errors are sufficiently small that we can calculate the $$B$$-meson decay constants with the HISQ action for the first time directly at the physical $$b$$-quark mass. We obtain the most precise determinations to-date of the $$D$$- and $$B$$-meson decay constants and their ratios, $$f_{D^+} = 212.7(0.6)$$~MeV, $$f_{D_s} = 249.9(0.4)$$~MeV, $$f_{D_s}/f_{D^+} = 1.1749(16)$$, $$f_{B^+} = 189.4 (1.4)$$~MeV, $$f_{B_s} = 230.7(1.3)$$~MeV, $$f_{B_s}/f_{B^+} = 1.2180(47)$$, where the errors include statistical and all systematic uncertainties. Our results for the $$B$$-meson decay constants are three times more precise than the previous best lattice-QCD calculations, and bring the QCD errors in the Standard-Model predictions for the rare leptonic decays $$\overline{\mathcal{B}}(B_s \to \mu^+\mu^-) = 3.64(11) \times 10^{-9}$$, $$\overline{\mathcal{B}}(B^0 \to \mu^+\mu^-) = 1.00(3) \times 10^{-11}$$, and $$\overline{\mathcal{B}}(B^0 \to \mu^+\mu^-)/\overline{\mathcal{B}}(B_s \to \mu^+\mu^-) = 0.00264(8)$$ to well below other sources of uncertainty. As a byproduct of our analysis, we also update our previously published results for the light-quark-mass ratios and the scale-setting quantities $$f_{p4s}$$, $$M_{p4s}$$, and $$R_{p4s}$$. We obtain the most precise lattice-QCD determination to date of the ratio $$f_{K^+}/f_{\pi^+} = 1.1950(^{+16}_{-23})$$~MeV.

Authors:: Bazavov, A.; Bernard, C.; Brown, N.; DeTar, C.; El-Khadra, A. X.; Gámiz, E.; Gottlieb, Steven; Heller, U. M.; Komijani, J.; Kronfeld, A. S.; Laiho, J.; Mackenzie, P. B.; Neil, E. T.; Simone, J. N.; Sugar, R. L.; Toussaint, D.; Van de Water, R. S.; Fermilab Lattice and MILC Collaborations

Publication Date:: 2018-10-29

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

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

Contributing Org.:: Fermilab Lattice and MILC Collaborations

OSTI Identifier:: 1479610

Alternate Identifier(s):: OSTI ID: 1423226

Report Number(s):: arXiv:1712.09262; FERMILAB-PUB-17/491-T
Journal ID: ISSN 2470-0010; PRVDAQ; 074512

Grant/Contract Number:: AC02-05CH11231; AC02-06CH11357; FG02-91ER40628; FC02-12ER41879; SC0010120; FG02-91ER40661; FG02-13ER42001; SC0015655; SC0010005; FG02-13ER41976; SC0009998; SC0012704; AC02-07CH11359

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 7; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Bazavov, A., Bernard, C., Brown, N., DeTar, C., El-Khadra, A. X., Gámiz, E., Gottlieb, Steven, Heller, U. M., Komijani, J., Kronfeld, A. S., Laiho, J., Mackenzie, P. B., Neil, E. T., Simone, J. N., Sugar, R. L., Toussaint, D., Van de Water, R. S., and Fermilab Lattice and MILC Collaborations. B - and D -meson leptonic decay constants from four-flavor lattice QCD.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.98.074512.

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                    Bazavov, A., Bernard, C., Brown, N., DeTar, C., El-Khadra, A. X., Gámiz, E., Gottlieb, Steven, Heller, U. M., Komijani, J., Kronfeld, A. S., Laiho, J., Mackenzie, P. B., Neil, E. T., Simone, J. N., Sugar, R. L., Toussaint, D., Van de Water, R. S., & Fermilab Lattice and MILC Collaborations. B - and D -meson leptonic decay constants from four-flavor lattice QCD.  United States.  https://doi.org/10.1103/PhysRevD.98.074512

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                    Bazavov, A., Bernard, C., Brown, N., DeTar, C., El-Khadra, A. X., Gámiz, E., Gottlieb, Steven, Heller, U. M., Komijani, J., Kronfeld, A. S., Laiho, J., Mackenzie, P. B., Neil, E. T., Simone, J. N., Sugar, R. L., Toussaint, D., Van de Water, R. S., and Fermilab Lattice and MILC Collaborations. Mon .  
"B - and D -meson leptonic decay constants from four-flavor lattice QCD".  United States.  https://doi.org/10.1103/PhysRevD.98.074512.

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@article{osti_1479610,

  title        = {B - and D -meson leptonic decay constants from four-flavor lattice QCD},

  author       = {Bazavov, A. and Bernard, C. and Brown, N. and DeTar, C. and El-Khadra, A. X. and Gámiz, E. and Gottlieb, Steven and Heller, U. M. and Komijani, J. and Kronfeld, A. S. and Laiho, J. and Mackenzie, P. B. and Neil, E. T. and Simone, J. N. and Sugar, R. L. and Toussaint, D. and Van de Water, R. S. and Fermilab Lattice and MILC Collaborations},

  abstractNote = {Here, we calculate the leptonic decay constants of heavy-light pseudoscalar mesons with charm and bottom quarks in lattice quantum chromodynamics on four-flavor QCD gauge-field configurations with dynamical $u$, $d$, $s$, and $c$ quarks. We analyze over twenty isospin-symmetric ensembles with six lattice spacings down to $a\approx 0.03$~fm and several values of the light-quark mass down to the physical value $\frac{1}{2}(m_u+m_d)$. We employ the highly-improved staggered-quark (HISQ) action for the sea and valence quarks; on the finest lattice spacings, discretization errors are sufficiently small that we can calculate the $B$-meson decay constants with the HISQ action for the first time directly at the physical $b$-quark mass. We obtain the most precise determinations to-date of the $D$- and $B$-meson decay constants and their ratios, $f_{D^+} = 212.7(0.6)$~MeV, $f_{D_s} = 249.9(0.4)$~MeV, $f_{D_s}/f_{D^+} = 1.1749(16)$, $f_{B^+} = 189.4 (1.4)$~MeV, $f_{B_s} = 230.7(1.3)$~MeV, $f_{B_s}/f_{B^+} = 1.2180(47)$, where the errors include statistical and all systematic uncertainties. Our results for the $B$-meson decay constants are three times more precise than the previous best lattice-QCD calculations, and bring the QCD errors in the Standard-Model predictions for the rare leptonic decays $\overline{\mathcal{B}}(B_s \to \mu^+\mu^-) = 3.64(11) \times 10^{-9}$, $\overline{\mathcal{B}}(B^0 \to \mu^+\mu^-) = 1.00(3) \times 10^{-11}$, and $\overline{\mathcal{B}}(B^0 \to \mu^+\mu^-)/\overline{\mathcal{B}}(B_s \to \mu^+\mu^-) = 0.00264(8)$ to well below other sources of uncertainty. As a byproduct of our analysis, we also update our previously published results for the light-quark-mass ratios and the scale-setting quantities $f_{p4s}$, $M_{p4s}$, and $R_{p4s}$. We obtain the most precise lattice-QCD determination to date of the ratio $f_{K^+}/f_{\pi^+} = 1.1950(^{+16}_{-23})$~MeV.},

  doi          = {10.1103/PhysRevD.98.074512},

  journal      = {Physical Review D},

  number       = 7,

  volume       = 98,

  place        = {United States},

  year         = {2018},

  month        = {10}

}

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Similar Records

Title: B - and D -meson leptonic decay constants from four-flavor lattice QCD

Abstract

Citation Formats

CP violation and the CKM matrix: assessing the impact of the asymmetric B factories journal, May 2005

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

Hybrid Monte Carlo journal, September 1987

Review of Particle Physics journal, October 2016

Erratum: B → D l ν form factors at nonzero recoil and extraction of | V c b | [Phys. Rev. D 92 , 054510 (2015)] journal, June 2016

B → π l l Form Factors for New Physics Searches from Lattice QCD journal, October 2015

Charmed and strange pseudoscalar meson decay constants from HISQ simulations conference, May 2015

Summary of the CKM2016 working group on semileptonic and leptonic $B$ decays conference, June 2017

Hamiltonian evolution for the hybrid Monte Carlo algorithm journal, August 1992

Radiative Corrections to π − e Decay journal, June 1959

Decay constants $f_B$ and $f_{B_s}$ from HISQ simulations conference, July 2016

Dynamical QCD+QED simulation with staggered quarks conference, May 2015

B -meson decay constants from 2 + 1 -flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks journal, March 2015

Experimental overview on $D_{(s)}$ purely leptonic decays conference, June 2017

The effect of H on B and B journal, September 2003

High-precision quark masses and QCD coupling from n f = 4 lattice QCD journal, March 2015

Isospin breaking in the decay constants of heavy mesons from QCD sum rules journal, February 2017

Leptonic decay constants f K , f D , and f D s with N f = 2 + 1 + 1 twisted-mass lattice QCD journal, March 2015

Electromagnetic effects on the light hadron spectrum journal, September 2015

Power-counting theorem for staggered fermions journal, October 2007

Lattice gauge theory with staggered fermions: how, where, and why (not) conference, March 2008

New methods for B meson decay constants and form factors from lattice NRQCD journal, March 2018

Probing new physics with the B s → μ + μ − time-dependent rate journal, July 2013

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

Strong and electromagnetic mass splittings in heavy mesons journal, June 2007

Scalar and vector form factors of D → π ( K ) ℓ ν decays with N f = 2 + 1 + 1 twisted fermions journal, September 2017

Results for light pseudoscalar mesons conference, June 2011

B → D l ν form factors at nonzero recoil and extraction of | V c b | journal, September 2015

QCD spectrum with three quark flavors journal, August 2001

MILC results for light pseudoscalars conference, February 2010

Precision determination of | V ub | from inclusive decays journal, November 2001

Light hadrons from lattice QCD with light (u, d), strange and charm dynamical quarks journal, June 2010

Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD journal, September 2018

Taming the higher power corrections in semileptonic B decays journal, December 2016

The High-Luminosity upgrade of the LHC: Physics and Technology Challenges for the Accelerator and the Experiments journal, April 2016

In pursuit of new physics with B s,d 0 → ℓ + ℓ − journal, May 2017

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

| V u b | from B → π ℓ ν decays and ( 2 + 1 )-flavor lattice QCD journal, July 2015

Locality of the fourth root of the staggered-fermion determinant: Renormalization-group approach journal, February 2005

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

Non-equilibration of topological charge and its effects conference, March 2017

Chiral perturbation theory with virtual photons and leptons journal, February 2000

Strong-Isospin-Breaking Correction to the Muon Anomalous Magnetic Moment from Lattice QCD at the Physical Point journal, April 2018

Enhanced charged Higgs boson effects in B − → τ ν ¯ , μ ν ¯ and b → τ ν ¯ + X journal, September 1993

Study of the rare decays of $$B^0_s$$ B s 0 and $$B^0$$ B 0 into muon pairs from data collected during the LHC Run 1 with the ATLAS detector journal, September 2016

Staggered chiral perturbation theory and the fourth-root trick journal, June 2006

Staggered fermions, zero modes, and flavor-singlet mesons journal, September 2011

Staggered chiral perturbation theory fits to light pseudoscalar masses and decay constants from HISQ ensembles conference, July 2012

Charm Physics Prospects at Belle II conference, February 2017

Massive fermions in lattice gauge theory journal, April 1997

High-Precision Determination of the π , K , D , and D s Decay Constants from Lattice QCD journal, February 2008

QCD Coupling from a Nonperturbative Determination of the Three-Flavor Λ Parameter journal, September 2017

A new exact method for dynamical fermion computations with non-local actions journal, March 1999

π/ K → e ν̄ e branching ratios to O ( e 2 p 4 ) in Chiral Perturbation Theory journal, October 2007

Theory of charmless inclusive B decays and the extraction of V u b journal, October 2005

Kaon decays in the standard model journal, March 2012

Leading isospin-breaking corrections to pion, kaon, and charmed-meson masses with twisted-mass fermions journal, June 2017

Chiral perturbation theory in a θ vacuum journal, February 2010

Accumulating Evidence for Nonstandard Leptonic Decays of D s Mesons journal, June 2008

V u s from π and K decay constants in full lattice QCD with physical u , d , s , and c quarks journal, October 2013

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

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

On-shell improved lattice gauge theories journal, September 1985

Optimized Verlet-like algorithms for molecular dynamics simulations journal, May 2002

Observations on staggered fermions at nonzero lattice spacing journal, June 2006

Belle II Physics Prospects, Status and Schedule journal, November 2016

Accelerating Dynamical-Fermion Computations Using the Rational Hybrid Monte Carlo Algorithm with Multiple Pseudofermion Fields journal, January 2007

Isospin Splittings in the Light-Baryon Octet from Lattice QCD and QED journal, December 2013

QED corrections to hadronic processes in lattice QCD journal, April 2015

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

Stochastic quantization versus the microcanonical ensemble: Getting the best of both worlds journal, January 1985

Precise determination of the strong coupling constant in N f = 2+1 lattice QCD with the Schrödinger functional scheme journal, October 2009

Continuum limit and improved action in lattice theories journal, September 1983

Lattice fermions: Species doubling, chiral invariance and the triangle anomaly journal, May 1981

Inclusive semileptonic B decays and the determination of | V ub | journal, October 2007

Search for the Decays B s 0 → τ + τ − and B 0 → τ + τ − journal, June 2017

High-precision c and b masses, and QCD coupling from current-current correlators in lattice and continuum QCD journal, August 2010

Title: $B$ - and $D$ -meson leptonic decay constants from four-flavor lattice QCD

CP violation and the CKM matrix: assessing the impact of the asymmetric B factories
journal, May 2005

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

Hybrid Monte Carlo
journal, September 1987

Review of Particle Physics
journal, October 2016

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

$B \to π l l$ Form Factors for New Physics Searches from Lattice QCD
journal, October 2015

Charmed and strange pseudoscalar meson decay constants from HISQ simulations
conference, May 2015

Summary of the CKM2016 working group on semileptonic and leptonic $B$ decays
conference, June 2017

Hamiltonian evolution for the hybrid Monte Carlo algorithm
journal, August 1992

Radiative Corrections to $π - e$ Decay
journal, June 1959

Decay constants $f_B$ and $f_{B_s}$ from HISQ simulations
conference, July 2016

Dynamical QCD+QED simulation with staggered quarks
conference, May 2015

$B$ -meson decay constants from $2 + 1$ -flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
journal, March 2015

Experimental overview on $D_{(s)}$ purely leptonic decays
conference, June 2017

The effect of H on B and B
journal, September 2003

High-precision quark masses and QCD coupling from $n_{f} = 4$ lattice QCD
journal, March 2015

Isospin breaking in the decay constants of heavy mesons from QCD sum rules
journal, February 2017

Leptonic decay constants $f_{K}$ , $f_{D}$ , and $f_{D_{s}}$ with $N_{f} = 2 + 1 + 1$ twisted-mass lattice QCD
journal, March 2015

Electromagnetic effects on the light hadron spectrum
journal, September 2015

Power-counting theorem for staggered fermions
journal, October 2007

Lattice gauge theory with staggered fermions: how, where, and why (not)
conference, March 2008

New methods for $B$ meson decay constants and form factors from lattice NRQCD
journal, March 2018

Probing new physics with the B s → μ + μ − time-dependent rate
journal, July 2013

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

Strong and electromagnetic mass splittings in heavy mesons
journal, June 2007

Scalar and vector form factors of $D \to π (K) ℓ ν$ decays with $N_{f} = 2 + 1 + 1$ twisted fermions
journal, September 2017

Results for light pseudoscalar mesons
conference, June 2011

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

QCD spectrum with three quark flavors
journal, August 2001

MILC results for light pseudoscalars
conference, February 2010

Precision determination of $| V_{ub} |$ from inclusive decays
journal, November 2001

Light hadrons from lattice QCD with light (u, d), strange and charm dynamical quarks
journal, June 2010

Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD
journal, September 2018

Taming the higher power corrections in semileptonic B decays
journal, December 2016

The High-Luminosity upgrade of the LHC: Physics and Technology Challenges for the Accelerator and the Experiments
journal, April 2016

In pursuit of new physics with B s,d 0 → ℓ + ℓ −
journal, May 2017

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

$| V_{u b} |$ from $B \to π ℓ ν$ decays and ( $2 + 1$ )-flavor lattice QCD
journal, July 2015

Locality of the fourth root of the staggered-fermion determinant: Renormalization-group approach
journal, February 2005

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

Non-equilibration of topological charge and its effects
conference, March 2017

Chiral perturbation theory with virtual photons and leptons
journal, February 2000

Strong-Isospin-Breaking Correction to the Muon Anomalous Magnetic Moment from Lattice QCD at the Physical Point
journal, April 2018

Enhanced charged Higgs boson effects in $B^{-} \to τ \bar{ν}, μ \bar{ν}$ and $b \to τ \bar{ν} + X$
journal, September 1993

Study of the rare decays of $$B^0_s$$ B s 0 and $$B^0$$ B 0 into muon pairs from data collected during the LHC Run 1 with the ATLAS detector
journal, September 2016

Staggered chiral perturbation theory and the fourth-root trick
journal, June 2006

Staggered fermions, zero modes, and flavor-singlet mesons
journal, September 2011

Staggered chiral perturbation theory fits to light pseudoscalar masses and decay constants from HISQ ensembles
conference, July 2012

Charm Physics Prospects at Belle II
conference, February 2017

Massive fermions in lattice gauge theory
journal, April 1997

High-Precision Determination of the $π$ , $K$ , $D$ , and $D_{s}$ Decay Constants from Lattice QCD
journal, February 2008

QCD Coupling from a Nonperturbative Determination of the Three-Flavor $Λ$ Parameter
journal, September 2017

A new exact method for dynamical fermion computations with non-local actions
journal, March 1999

π/ K → e ν̄ _e branching ratios to O ( e ² p ⁴ ) in Chiral Perturbation Theory
journal, October 2007

Theory of charmless inclusive $B$ decays and the extraction of $V_{u b}$
journal, October 2005

Kaon decays in the standard model
journal, March 2012

Leading isospin-breaking corrections to pion, kaon, and charmed-meson masses with twisted-mass fermions
journal, June 2017

Chiral perturbation theory in a $θ$ vacuum
journal, February 2010

Accumulating Evidence for Nonstandard Leptonic Decays of $D_{s}$ Mesons
journal, June 2008

$V_{u s}$ from $π$ and $K$ decay constants in full lattice QCD with physical $u$ , $d$ , $s$ , and $c$ quarks
journal, October 2013

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

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

On-shell improved lattice gauge theories
journal, September 1985

Optimized Verlet-like algorithms for molecular dynamics simulations
journal, May 2002

Observations on staggered fermions at nonzero lattice spacing
journal, June 2006

Belle II Physics Prospects, Status and Schedule
journal, November 2016

Accelerating Dynamical-Fermion Computations Using the Rational Hybrid Monte Carlo Algorithm with Multiple Pseudofermion Fields
journal, January 2007

Isospin Splittings in the Light-Baryon Octet from Lattice QCD and QED
journal, December 2013

QED corrections to hadronic processes in lattice QCD
journal, April 2015

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

Stochastic quantization versus the microcanonical ensemble: Getting the best of both worlds
journal, January 1985

Precise determination of the strong coupling constant in N _f = 2+1 lattice QCD with the Schrödinger functional scheme
journal, October 2009

Continuum limit and improved action in lattice theories
journal, September 1983

Lattice fermions: Species doubling, chiral invariance and the triangle anomaly
journal, May 1981

Inclusive semileptonic B decays and the determination of | V _ub |
journal, October 2007

Search for the Decays $B_{s}^{0} \to τ^{+} τ^{-}$ and $B^{0} \to τ^{+} τ^{-}$
journal, June 2017

High-precision $c$ and $b$ masses, and QCD coupling from current-current correlators in lattice and continuum QCD
journal, August 2010

QCD at fixed topology
journal, May 2003

Speeding up the hybrid Monte Carlo algorithm for dynamical fermions
journal, October 2001