Neutral B-meson mixing from full lattice QCD at the physical point

doi:10.1103/PhysRevD.100.094508

Title: Neutral $B$ -meson mixing from full lattice QCD at the physical point

Abstract

We calculate the bag parameters for neutral $B$-meson mixing in and beyond the Standard Model, in full four-flavour lattice QCD for the first time. We work on gluon field configurations that include the effect of $u$, $d$, $s$ and $c$ sea quarks with the Highly Improved Staggered Quark (HISQ) action at three values of the lattice spacing and with three $u/d$ quark masses going down to the physical value. The valence $b$ quarks use the improved NRQCD action and the valence light quarks, the HISQ action. Our analysis was blinded. Our results for the bag parameters for all five operators are the most accurate to date. For the Standard Model operator between $$B_s$$ and $$B_d$$ mesons we find: $$\hat{B}_{B_s}=1.232(53)$$, $$\hat{B}_{B_d}=1.222(61)$$. Combining our results with lattice QCD calculations of the decay constants using HISQ quarks from the Fermilab/MILC collaboration and with experimental values for $$B_s$$ and $$B_d$$ oscillation frequencies allows determination of the CKM elements $$V_{ts}$$ and $$V_{td}$$. We find $$V_{ts} = 0.04189(93)$$, $$V_{td} = 0.00867(23)$$ and $$V_{ts}/V_{td} = 0.2071(27)$$. Our results agree well (within $$2\sigma$$) with values determined from CKM unitarity constraints based on tree-level processes (only). Using a ratio to $$\Delta M$$ in which CKM elements cancel in the Standard Model, we determine the branching fractions $${\text{Br}}(B_s\rightarrow \mu^+\mu^-) = 3.81(18) \times 10^{-9}$$ and $${\text{Br}}(B_d\rightarrow \mu^+\mu^-) = 1.031(54) \times 10^{-10}$$. We also give results for matrix elements of the operators $$R_0$$, $$R_1$$ and $$\tilde{R}_1$$ that contribute to neutral $B$-meson width differences.

Authors:

Dowdall, R. J. ^[1];

^[2]; Horgan, R. R. ^[1]; Lepage, G. P. ^[3]; Monahan, C. J. ^[4]; Shigemitsu, J. ^[5];

^[1]

Univ. of Cambridge, Cambridge (United Kingdom)
Univ. of Glasgow, Glasgow (United Kingdom)
Cornell Univ., Ithaca, NY (United States)
Univ. of Washington, Seattle, WA (United States); College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
The Ohio State Univ., Columbus, OH (United States)

Publication Date:: 2019-11-25

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE

Contributing Org.:: HPQCD Collaboration

OSTI Identifier:: 1575791

Alternate Identifier(s):: OSTI ID: 1576222

Report Number(s):: JLAB-THY-19-3068; DOE/OR/23177-4789; arXiv:1907.01025
Journal ID: ISSN 2470-0010; PRVDAQ

Grant/Contract Number:: AC05-06OR23177

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 100; Journal Issue: 9; 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


                    Dowdall, R. J., Davies, Christine T. H., Horgan, R. R., Lepage, G. P., Monahan, C. J., Shigemitsu, J., and Wingate, M. Neutral B-meson mixing from full lattice QCD at the physical point.  United States: N. p., 2019. 
        Web.  doi:10.1103/PhysRevD.100.094508.

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                    Dowdall, R. J., Davies, Christine T. H., Horgan, R. R., Lepage, G. P., Monahan, C. J., Shigemitsu, J., & Wingate, M. Neutral B-meson mixing from full lattice QCD at the physical point.  United States.  doi:10.1103/PhysRevD.100.094508.

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                    Dowdall, R. J., Davies, Christine T. H., Horgan, R. R., Lepage, G. P., Monahan, C. J., Shigemitsu, J., and Wingate, M. Mon .  
        "Neutral B-meson mixing from full lattice QCD at the physical point".  United States.  doi:10.1103/PhysRevD.100.094508.

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@article{osti_1575791,

  title        = {Neutral B-meson mixing from full lattice QCD at the physical point},

  author       = {Dowdall, R. J. and Davies, Christine T. H. and Horgan, R. R. and Lepage, G. P. and Monahan, C. J. and Shigemitsu, J. and Wingate, M.},

  abstractNote = {We calculate the bag parameters for neutral $B$-meson mixing in and beyond the Standard Model, in full four-flavour lattice QCD for the first time. We work on gluon field configurations that include the effect of $u$, $d$, $s$ and $c$ sea quarks with the Highly Improved Staggered Quark (HISQ) action at three values of the lattice spacing and with three $u/d$ quark masses going down to the physical value. The valence $b$ quarks use the improved NRQCD action and the valence light quarks, the HISQ action. Our analysis was blinded. Our results for the bag parameters for all five operators are the most accurate to date. For the Standard Model operator between $B_s$ and $B_d$ mesons we find: $\hat{B}_{B_s}=1.232(53)$, $\hat{B}_{B_d}=1.222(61)$. Combining our results with lattice QCD calculations of the decay constants using HISQ quarks from the Fermilab/MILC collaboration and with experimental values for $B_s$ and $B_d$ oscillation frequencies allows determination of the CKM elements $V_{ts}$ and $V_{td}$. We find $V_{ts} = 0.04189(93)$, $V_{td} = 0.00867(23)$ and $V_{ts}/V_{td} = 0.2071(27)$. Our results agree well (within $2\sigma$) with values determined from CKM unitarity constraints based on tree-level processes (only). Using a ratio to $\Delta M$ in which CKM elements cancel in the Standard Model, we determine the branching fractions ${\text{Br}}(B_s\rightarrow \mu^+\mu^-) = 3.81(18) \times 10^{-9}$ and ${\text{Br}}(B_d\rightarrow \mu^+\mu^-) = 1.031(54) \times 10^{-10}$. We also give results for matrix elements of the operators $R_0$, $R_1$ and $\tilde{R}_1$ that contribute to neutral $B$-meson width differences.},

  doi          = {10.1103/PhysRevD.100.094508},

  journal      = {Physical Review D},

  number       = 9,

  volume       = 100,

  place        = {United States},

  year         = {2019},

  month        = {11}

}

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New Journal of Physics, Vol. 15, Issue 5
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Buras, Andrzej J.; Jäger, Sebastian; Urban, Jörg
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Michael, C.
Physical Review D, Vol. 49, Issue 5
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Chiral behavior of the B ⁰ _{d , s} −bar B ⁰ _{d , s} mixing amplitude in the Standard Model and beyond
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Bećirević, Damir; Fajfer, Svjetlana; Kamenik, Jernej
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Physical Review Letters, Vol. 110, Issue 22
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Michael, C.; McKerrell, A.
Physical Review D, Vol. 51, Issue 7
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Aoki, Yasumichi; Ishikawa, Tomomi; Izubuchi, Taku
Physical Review D, Vol. 91, Issue 11
DOI: 10.1103/PhysRevD.91.114505

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McNeile, C.; Davies, C. T. H.; Follana, E.
Physical Review D, Vol. 86, Issue 7
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Monahan, Christopher; Gámiz, Elvira; Horgan, Ron
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Khachatryan, V.; Sirunyan, A. M.; Tumasyan, A.
Physical Review D, Vol. 93, Issue 7
DOI: 10.1103/PhysRevD.93.072004

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journal, September 2013

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Physical Review Letters, Vol. 111, Issue 10
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$B$ -meson decay constants: A more complete picture from full lattice QCD
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Blanke, Monika; Buras, Andrzej J.
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Determination of quark masses from $n_{f} = 4$ lattice QCD and the RI-SMOM intermediate scheme
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Lytle, A. T.; Davies, C. T. H.; Hatton, D.
Physical Review D, Vol. 98, Issue 1
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A precise measurement of the $$B^0$$ B 0 meson oscillation frequency
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Aaij, R.; Abellán Beteta, C.; Adeva, B.
The European Physical Journal C, Vol. 76, Issue 7
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Averages of b-hadron, c-hadron, and $$\tau $$ τ -lepton properties as of summer 2016
journal, December 2017

Amhis, Y.; Banerjee, Sw.; Ben-Haim, E.
The European Physical Journal C, Vol. 77, Issue 12
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Sirunyan, A. M.; Tumasyan, A.; Adam, W.
The European Physical Journal C, Vol. 78, Issue 11
DOI: 10.1140/epjc/s10052-018-6332-9

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Buras, Andrzej J.; Jamin, Matthias; Weisz, Peter H.
Nuclear Physics B, Vol. 347, Issue 3
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Title: Neutral B -meson mixing from full lattice QCD at the physical point

Abstract

Citation Formats

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High-Precision Lattice QCD Confronts Experiment journal, January 2004

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Precision lattice QCD computation of the B ⁎ B π coupling journal, January 2015

Measurement of the B s 0 → μ + μ − Branching Fraction and Effective Lifetime and Search for B 0 → μ + μ − Decays journal, May 2017

B s 0 − B ¯ s 0 mixing parameters from unquenched lattice QCD journal, July 2007

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Measurement of the top quark mass using proton-proton data at ( s ) = 7 and 8 TeV journal, April 2016

Title: Neutral $B$ -meson mixing from full lattice QCD at the physical point

B-physics from Nf = 2 tmQCD: the Standard Model and beyond
journal, March 2014

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

Theoretical update of B _s −bar B _s mixing
journal, June 2007

$B$ - and $D$ -meson leptonic decay constants from four-flavor lattice QCD
journal, October 2018

Chiral perturbation theory for and
journal, August 1992

Improved measurement of CP -violation parameters $\sin 2 ϕ_{1}$ and $| λ |$ , $B$ meson lifetimes, and $B^{0}$ - ${\bar{B}}^{0}$ mixing parameter $Δ m_{d}$
journal, April 2005

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

Probing New Physics via the $B_{s}^{0} \to μ^{+} μ^{-}$ Effective Lifetime
journal, July 2012

Towards a next-to-next-to-leading order analysis of matching in $B^{0} - {\bar{B}}^{0}$ mixing
journal, October 2017

Lifetime differences and CP violation parameters of neutral B mesons at the next-to-leading order in QCD
journal, August 2003

Update: Precision $D_{s}$ decay constant from full lattice QCD using very fine lattices
journal, December 2010

Neutral kaon mixing beyond the Standard Model with nf = 2 + 1 chiral fermions. Part 1: bare matrix elements and physical results
journal, November 2016

Effects of Superheavy Quarks and Leptons in Low-Energy Weak Processes KL-> Formula, K+-> + Formula and K0 Formula
journal, May 1981

Neutral $B$ meson mixing in unquenched lattice QCD
journal, July 2009

A complete analysis of FCNC and CP constraints in general SUSY extensions of the standard model
journal, October 1996

Improved nonrelativistic QCD for heavy-quark physics
journal, November 1992

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

Prediction of the Bottomonium $D$ -Wave Spectrum from Full Lattice QCD
journal, March 2012

Erratum: Bottomonium hyperfine splittings from lattice nonrelativistic QCD including radiative and relativistic corrections [Phys. Rev. D 89 , 031502(R) (2014)]
journal, August 2015

Quark Mass Relations to Four-Loop Order in Perturbative QCD
journal, April 2015

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

Neutral $B$ -meson mixing from three-flavor lattice quantum chromodynamics: Determination of the $S U (3)$ -breaking ratio $ξ$
journal, August 2012

$B \to π ℓ ν$ at zero recoil from lattice QCD with physical $u / d$ quarks
journal, February 2016

Review of Particle Physics
journal, August 2018

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

$B_{s, d} \to ℓ^{+} ℓ^{-}$ in the Standard Model with Reduced Theoretical Uncertainty
journal, March 2014

$B * B π$ coupling using relativistic heavy quarks
journal, January 2016

Publisher’s Note: Improved measurement of $C P$ -violation parameters $\sin 2 ϕ_{1}$ and $| λ |$ , $B$ meson lifetimes, and $B^{0} - {\bar{B}}^{0}$ mixing parameter $Δ m_{d}$ [Phys. Rev. D 71 , 072003 (2005) ]
journal, April 2005

Observation of $B_{s}^{0} - {\bar{B}}_{s}^{0}$ Oscillations
journal, December 2006

High-Precision Lattice QCD Confronts Experiment
journal, January 2004

Neutral $B$ mixing in staggered chiral perturbation theory
journal, June 2013

Precision lattice QCD computation of the $B^{⁎} B π$ coupling
journal, January 2015

Measurement of the $B_{s}^{0} \to μ^{+} μ^{-}$ Branching Fraction and Effective Lifetime and Search for $B^{0} \to μ^{+} μ^{-}$ Decays
journal, May 2017

$B_{s}^{0} - {\bar{B}}_{s}^{0}$ mixing parameters from unquenched lattice QCD
journal, July 2007

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

Enhanced Electromagnetic Corrections to the Rare Decay $B_{s, d} \to μ^{+} μ^{-}$
journal, January 2018

Study of the rare decays of B s 0 and B0 mesons into muon pairs using data collected during 2015 and 2016 with the ATLAS detector
journal, April 2019

Highly improved staggered quarks on the lattice with applications to charm physics
journal, March 2007

B -parameters of the complete set of matrix elements of (Δ B = 2) operators from the lattice
journal, April 2002

Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the $ϕ$ meson
journal, October 2017

Bottomonium hyperfine splittings from lattice nonrelativistic QCD including radiative and relativistic corrections
journal, February 2014

Weak decays beyond leading logarithms
journal, October 1996

Matching lattice and continuum axial-vector and vector currents with nonrelativistic QCD and highly improved staggered quarks
journal, February 2013

Measurement of the top quark mass in the $t \bar{t} \to dilepton$ channel from $\sqrt{s} = 8 TeV$ ATLAS data
journal, October 2016

Constrained curve fitting
journal, March 2002

Updated $B_{s}$ -mixing constraints on new physics models for $b \to s ℓ^{+} ℓ^{-}$ anomalies
journal, May 2018

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

Precision Measurement of $C P$ Violation in $B_{S}^{0} \to J / Ψ K^{+} K^{-}$ Decays
journal, January 2015

Scaling studies of QCD with the dynamical highly improved staggered quark action
journal, October 2010

Measurement of the ${\bar{B}}^{0}$ lifetime and the $B^{0} {\bar{B}}^{0}$ oscillation frequency using partially reconstructed ${\bar{B}}^{0} \to D^{* +} ℓ^{-} {\bar{ν}}_{ℓ}$ decays
journal, January 2006

Heavy meson chiral perturbation theory in finite volume
journal, July 2004

Matrix elements of the complete set of $Δ B = 2$ and $Δ C = 2$ operators in heavy meson chiral perturbation theory
journal, July 2007

The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea
journal, March 2012

Precise heavy-light meson masses and hyperfine splittings from lattice QCD including charm quarks in the sea
journal, November 2012

High-precision $f_{B_{s}}$ and heavy quark effective theory from relativistic lattice QCD
journal, February 2012

Fast fits for lattice QCD correlators
journal, February 2012

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

Bs mixing observables and |Vtd/Vts| from sum rules
journal, May 2019

Measurement of $B_{d}$ mixing using opposite-side flavor tagging
journal, December 2006

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

Observation of $B^{0}_{s}$ – $\overline{B}{}^{0}_{s}$ mixing and measurement of mixing frequencies using semileptonic B decays
journal, December 2013

Next-to-leading order QCD corrections to the lifetime difference of Bs mesons
journal, July 1999

Relations between ΔMs,d and Bs,d→μμ̄ in models with minimal flavour violation
journal, July 2003

Precision measurement of the B ⁰ _s –$\overline{\rm B}{}^0_{\rm s}$ oscillation frequency with the decay B ⁰ _s → D ⁻ _s π ⁺
journal, May 2013

Effects of Superheavy Quarks and Leptons in Low-Energy Weak Processes KL-> Formula, K+-> + Formula and K0 Formula0
journal, January 1981

Master formulae for ΔF=2 NLO-QCD factors in the Standard Model and beyond
journal, July 2001

Fitting correlated data
journal, March 1994

Chiral behavior of the B ⁰ _{d , s} −bar B ⁰ _{d , s} mixing amplitude in the Standard Model and beyond
journal, June 2007

$B_{(s)}^{0}$ -mixing matrix elements from lattice QCD for the Standard Model and beyond
journal, June 2016

$B$ -Meson Decay Constants from Improved Lattice Nonrelativistic QCD with Physical $u$ , $d$ , $s$ , and $c$ Quarks
journal, May 2013

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

Precision tests of the $J / ψ$ from full lattice QCD: Mass, leptonic width, and radiative decay rate to $η_{c}$
journal, November 2012

Fitting correlated hadron mass spectrum data
journal, April 1995

Neutral $B$ meson mixings and $B$ meson decay constants with static heavy and domain-wall light quarks
journal, June 2015

Heavy meson masses and decay constants from relativistic heavy quarks in full lattice QCD
journal, October 2012

Matching lattice and continuum four-fermion operators with nonrelativistic QCD and highly improved staggered quarks
journal, September 2014

Measurement of the top quark mass using proton-proton data at $\sqrt{(} s) = 7$ and 8 TeV
journal, April 2016

Measurement of the $B_{s}^{0} \to μ^{+} μ^{-}$ Branching Fraction and Search for $B^{0} \to μ^{+} μ^{-}$ with the CMS Experiment
journal, September 2013

$B$ -meson decay constants: A more complete picture from full lattice QCD
journal, June 2015