skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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:
 [1]; ORCiD logo [2];  [1];  [3];  [4];  [5]; ORCiD logo [1]
  1. Univ. of Cambridge, Cambridge (United Kingdom)
  2. Univ. of Glasgow, Glasgow (United Kingdom)
  3. Cornell Univ., Ithaca, NY (United States)
  4. 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)
  5. The Ohio State Univ., Columbus, OH (United States)
Publication Date:
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.
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.
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.
@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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.100.094508

Save / Share:

Works referenced in this record:

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

  • Carrasco, N.; Ciuchini, M.; Dimopoulos, P.
  • Journal of High Energy Physics, Vol. 2014, Issue 3
  • DOI: 10.1007/JHEP03(2014)016

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


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 μ + μ Effective Lifetime
journal, July 2012


Towards a next-to-next-to-leading order analysis of matching in B 0 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

  • Garron, Nicolas; Hudspith, Renwick J.; Lytle, Andrew T.
  • Journal of High Energy Physics, Vol. 2016, Issue 11
  • DOI: 10.1007/JHEP11(2016)001

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

  • Inami, T.; Lim, C. S.
  • Progress of Theoretical Physics, Vol. 65, Issue 5
  • DOI: 10.1143/PTP.65.1772

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


Measurement of the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msubsup><mml:mi>B</mml:mi><mml:mi>s</mml:mi><mml:mn>0</mml:mn></mml:msubsup><mml:mtext>–</mml:mtext><mml:msubsup><mml:mover accent="true"><mml:mi>B</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mi>s</mml:mi><mml:mn>0</mml:mn></mml:msubsup></mml:math> oscillation frequency <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>m</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:math> in <mml:math altimg="si3.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msubsup><mml:mi>B</mml:mi><mml:mi>s</mml:mi><mml:mn>0</mml:mn></mml:msubsup><mml:mo>→</mml:mo><mml:msubsup><mml:mi>D</mml:mi><mml:mi>s</mml:mi><mml:mo>−</mml:mo></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mi>π</mml:mi></mml:math> decays
journal, March 2012


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


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 π 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 + in the Standard Model with Reduced Theoretical Uncertainty
journal, March 2014


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


Observation of B s 0 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 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


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


Enhanced Electromagnetic Corrections to the Rare Decay B s , d 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

  • Bećirević, Damir; Giménez, Vicente; Martinelli, Guido
  • Journal of High Energy Physics, Vol. 2002, Issue 04
  • DOI: 10.1088/1126-6708/2002/04/025

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

  • Buchalla, Gerhard; Buras, Andrzej J.; Lautenbacher, Markus E.
  • Reviews of Modern Physics, Vol. 68, Issue 4
  • DOI: 10.1103/RevModPhys.68.1125

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 t ¯ dilepton channel from 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 s + 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 J / Ψ K + K Decays
journal, January 2015


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


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

  • King, Daniel; Lenz, Alexander; Rauh, Thomas
  • Journal of High Energy Physics, Vol. 2019, Issue 5
  • DOI: 10.1007/JHEP05(2019)034

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

  • Inami, T.; Lim, C. S.
  • Progress of Theoretical Physics, Vol. 65, Issue 1
  • DOI: 10.1143/PTP.65.297

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 ( s ) = 7 and 8 TeV
journal, April 2016


Measurement of the B s 0 μ + μ Branching Fraction and Search for B 0 μ + μ with the CMS Experiment
journal, September 2013


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


Viability of lattice perturbation theory
journal, September 1993


Universal Unitarity Triangle 2016 and the tension between $$\Delta M_{s,d}$$ Δ M s , d and $$\varepsilon _K$$ ε K in CMFV models
journal, April 2016


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


Determination of quark masses from n f = 4 lattice QCD and the RI-SMOM intermediate scheme
journal, July 2018


A precise measurement of the $$B^0$$ B 0 meson oscillation frequency
journal, July 2016


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


Leading and next-to-leading QCD corrections to ɛ-parameter and mixing in the presence of a heavy top quark
journal, December 1990