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Title: $$B^0_{(s)}$$-mixing matrix elements from lattice QCD for the Standard Model and beyond

Abstract

We calculate—for the first time in three-flavor lattice QCD—the hadronic matrix elements of all five local operators that contribute to neutral B0- and Bs-meson mixing in and beyond the Standard Model. We present a complete error budget for each matrix element and also provide the full set of correlations among the matrix elements. We also present the corresponding bag parameters and their correlations, as well as specific combinations of the mixing matrix elements that enter the expression for the neutral B-meson width difference. We obtain the most precise determination to date of the SU(3)-breaking ratio ξ=1.206(18)(6), where the second error stems from the omission of charm-sea quarks, while the first encompasses all other uncertainties. The threefold reduction in total uncertainty, relative to the 2013 Flavor Lattice Averaging Group results, tightens the constraint from B mixing on the Cabibbo-Kobayashi-Maskawa (CKM) unitarity triangle. Our calculation employs gauge-field ensembles generated by the MILC Collaboration with four lattice spacings and pion masses close to the physical value. We use the asqtad-improved staggered action for the light-valence quarks and the Fermilab method for the bottom quark. We use heavy-light meson chiral perturbation theory modified to include lattice-spacing effects to extrapolate the five matrix elements tomore » the physical point. We combine our results with experimental measurements of the neutral B-meson oscillation frequencies to determine the CKM matrix elements |Vtd| = 8.00(34)(8)×10-3, |Vts| = 39.0(1.2)(0.4)×10-3, and |Vtd/Vts| = 0.2052(31)(10), which differ from CKM-unitarity expectations by about 2σ. In addition, these results and others from flavor-changing-neutral currents point towards an emerging tension between weak processes that are mediated at the loop and tree levels.« less

Authors:
 [1];  [2];  [3];  [4];  [5];  [6];  [4];  [7];  [8];  [9];  [10];  [11];  [6];  [12];  [13];  [12];  [14];  [15];  [12];  [12]
  1. Univ. of Iowa, Iowa City, IA (United States)
  2. Washington Univ., St. Louis, MO (United States)
  3. The College of William and Mary, Williamsburg, VA (United States)
  4. Univ. of Illinois, Urbana, IL (United States)
  5. Univ. of Utah, Salt Lake City, UT (United States)
  6. Syracuse Univ., Syracuse, NY (United States)
  7. School of the Art Institute of Chicago, Chicago, IL (United States)
  8. Univ. de Granada, Granada (Spain)
  9. Indiana Univ., Bloomington, IN (United States)
  10. American Physical Society, Ridge, NY (United States)
  11. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Technische Univ. Munchen, Garching (Germany)
  12. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  13. Univ. of Colorado, Boulder, CO (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
  14. Univ. of California, Santa Barbara, CA (United States)
  15. Univ. of Arizona, Tucson, AZ (United States)
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Org.:
Fermilab Lattice; MILC; Fermilab Lattice and MILC Collaborations
OSTI Identifier:
1260383
Alternate Identifier(s):
OSTI ID: 1259736; OSTI ID: 1336071
Report Number(s):
FERMILAB-PUB-16-030-T; arXiv:1602.03560; BNL-112445-2016-JA
Journal ID: ISSN 2470-0010; PRVDAQ; 1421164
Grant/Contract Number:  
AC02-07CH11359; FG02-91ER40628; FC02-06ER41446; SC0010120; SC0010005; FG02-91ER40661; FG02-13ER42001; FG02-13ER41976; SC0012704; SC00112704
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 93; Journal Issue: 11; 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; Riken BNL Research Center

Citation Formats

Bazavov, A., Bernard, C., Bouchard, C. M., Chang, C. C., DeTar, C., Du, Daping, El-Khadra, A. X., Freeland, E. D., Gamiz, E., Gottlieb, Steven, Heller, U. M., Kronfeld, A. S., Laiho, J., Mackenzie, P. B., Neil, E. T., Simone, J., Sugar, R., Toussaint, D., Van de Water, R. S., and Zhou, Ran. $B^0_{(s)}$-mixing matrix elements from lattice QCD for the Standard Model and beyond. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.93.113016.
Bazavov, A., Bernard, C., Bouchard, C. M., Chang, C. C., DeTar, C., Du, Daping, El-Khadra, A. X., Freeland, E. D., Gamiz, E., Gottlieb, Steven, Heller, U. M., Kronfeld, A. S., Laiho, J., Mackenzie, P. B., Neil, E. T., Simone, J., Sugar, R., Toussaint, D., Van de Water, R. S., & Zhou, Ran. $B^0_{(s)}$-mixing matrix elements from lattice QCD for the Standard Model and beyond. United States. doi:10.1103/PhysRevD.93.113016.
Bazavov, A., Bernard, C., Bouchard, C. M., Chang, C. C., DeTar, C., Du, Daping, El-Khadra, A. X., Freeland, E. D., Gamiz, E., Gottlieb, Steven, Heller, U. M., Kronfeld, A. S., Laiho, J., Mackenzie, P. B., Neil, E. T., Simone, J., Sugar, R., Toussaint, D., Van de Water, R. S., and Zhou, Ran. Tue . "$B^0_{(s)}$-mixing matrix elements from lattice QCD for the Standard Model and beyond". United States. doi:10.1103/PhysRevD.93.113016. https://www.osti.gov/servlets/purl/1260383.
@article{osti_1260383,
title = {$B^0_{(s)}$-mixing matrix elements from lattice QCD for the Standard Model and beyond},
author = {Bazavov, A. and Bernard, C. and Bouchard, C. M. and Chang, C. C. and DeTar, C. and Du, Daping and El-Khadra, A. X. and Freeland, E. D. and Gamiz, E. and Gottlieb, Steven and Heller, U. M. and Kronfeld, A. S. and Laiho, J. and Mackenzie, P. B. and Neil, E. T. and Simone, J. and Sugar, R. and Toussaint, D. and Van de Water, R. S. and Zhou, Ran},
abstractNote = {We calculate—for the first time in three-flavor lattice QCD—the hadronic matrix elements of all five local operators that contribute to neutral B0- and Bs-meson mixing in and beyond the Standard Model. We present a complete error budget for each matrix element and also provide the full set of correlations among the matrix elements. We also present the corresponding bag parameters and their correlations, as well as specific combinations of the mixing matrix elements that enter the expression for the neutral B-meson width difference. We obtain the most precise determination to date of the SU(3)-breaking ratio ξ=1.206(18)(6), where the second error stems from the omission of charm-sea quarks, while the first encompasses all other uncertainties. The threefold reduction in total uncertainty, relative to the 2013 Flavor Lattice Averaging Group results, tightens the constraint from B mixing on the Cabibbo-Kobayashi-Maskawa (CKM) unitarity triangle. Our calculation employs gauge-field ensembles generated by the MILC Collaboration with four lattice spacings and pion masses close to the physical value. We use the asqtad-improved staggered action for the light-valence quarks and the Fermilab method for the bottom quark. We use heavy-light meson chiral perturbation theory modified to include lattice-spacing effects to extrapolate the five matrix elements to the physical point. We combine our results with experimental measurements of the neutral B-meson oscillation frequencies to determine the CKM matrix elements |Vtd| = 8.00(34)(8)×10-3, |Vts| = 39.0(1.2)(0.4)×10-3, and |Vtd/Vts| = 0.2052(31)(10), which differ from CKM-unitarity expectations by about 2σ. In addition, these results and others from flavor-changing-neutral currents point towards an emerging tension between weak processes that are mediated at the loop and tree levels.},
doi = {10.1103/PhysRevD.93.113016},
journal = {Physical Review D},
number = 11,
volume = 93,
place = {United States},
year = {2016},
month = {6}
}

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Works referenced in this record:

Flavor Physics Constraints for Physics Beyond the Standard Model
journal, November 2010


Towards the identification of new physics through quark flavour violating processes
journal, August 2014


Can we reach the Zeptouniverse with rare K and B s,d decays?
journal, November 2014

  • Buras, Andrzej J.; Buttazzo, Dario; Girrbach-Noe, Jennifer
  • Journal of High Energy Physics, Vol. 2014, Issue 11
  • DOI: 10.1007/JHEP11(2014)121

Implications of LHCb measurements and future prospects
journal, April 2013


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


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


Neutral B -meson mixing from unquenched lattice QCD with domain-wall light quarks and static b quarks
journal, July 2010


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


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

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


Renormalization of heavy-light bilinears and fB for Wilson fermions
journal, April 1990


Flavor symmetry and the static potential with hypercubic blocking
journal, July 2001


On lattice actions for static quarks
journal, August 2005


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


Four fermion operator matching with nonrelativistic QCD heavy and asqtad light quarks
journal, June 2008


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


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


QCD spectrum with three quark flavors
journal, August 2001


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


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


Flavour and CP Violation
journal, July 2013


Status of B-mixing in the standard model and beyond
journal, November 2014


Rare Decays and CP Violation in the B s System
journal, October 2013


Quark flavour observables in the Littlest Higgs model with T-parity after LHC Run 1
journal, April 2016


Z-Z′ mixing and Z-mediated FCNCs in SU(3) C × SU(3) L × U(1) X models
journal, August 2014

  • Buras, Andrzej J.; De Fazio, Fulvia; Girrbach-Noe, Jennifer
  • Journal of High Energy Physics, Vol. 2014, Issue 8
  • DOI: 10.1007/JHEP08(2014)039

331 models facing new b → sμ + μ − data
journal, February 2014

  • Buras, Andrzej J.; De Fazio, Fulvia; Girrbach, Jennifer
  • Journal of High Energy Physics, Vol. 2014, Issue 2
  • DOI: 10.1007/JHEP02(2014)112

Stringent tests of constrained Minimal Flavor Violation through ΔF=2 transitions
journal, September 2013


Anatomy of new physics in B - B ¯ mixing
journal, February 2011


Constraints on new physics in B B ¯ mixing in the light of recent LHCb data
journal, August 2012


New physics effects in tree-level decays and the precision in the determination of the quark mixing angle γ
journal, August 2015

  • Brod, Joachim; Lenz, Alexander; Tetlalmatzi-Xolocotzi, Gilberto
  • Physical Review D, Vol. 92, Issue 3
  • DOI: 10.1103/PhysRevD.92.033002

On new physics in ΔΓ d
journal, June 2014

  • Bobeth, Christoph; Haisch, Ulrich; Lenz, Alexander
  • Journal of High Energy Physics, Vol. 2014, Issue 6
  • DOI: 10.1007/JHEP06(2014)040

Sensitivity of the squark flavor mixing to the CP violation of K, <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" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msup><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> and <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" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msub><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:math> mesons
journal, November 2013


Flavor and collider signatures of asymmetric dark matter
journal, February 2014


Heavy flavor and dark sector
journal, January 2015


Viability of minimal left–right models with discrete symmetries
journal, December 2014


Leptoquarks, dark matter, and anomalous LHC events
journal, February 2015


Exploring CP violation in the MSSM
journal, February 2015


Flavor constraints on the Two Higgs Doublet Models of Z 2 symmetric and aligned types
journal, May 2016

  • Enomoto, Tetsuya; Watanabe, Ryoutaro
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)002

Possible indications of new physics in <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:msub><mml:mi>B</mml:mi><mml:mi>d</mml:mi></mml:msub></mml:math>-mixing and in <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">sin</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>β</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> determinations
journal, August 2008


Correlations among new C P violating effects in Δ F = 2 observables
journal, August 2008


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


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


Supersymmetric flavor-changing neutral currents: exact amplitudes and phenomenological analysis
journal, March 1994


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


QCD corrections to flavor-changing neutral currents in the supersymmetric standard model
journal, October 1997


Some Physical Constraints on Gauge Models of Weak Interactions
journal, January 1973

  • Lee, Benjamin W.; Primack, J. R.; Treiman, S. B.
  • Physical Review D, Vol. 7, Issue 2
  • DOI: 10.1103/PhysRevD.7.510

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


Review of lattice results concerning low-energy particle physics
journal, September 2014


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


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

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

Width difference in the B s B ¯ s system
journal, October 1996


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


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


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


On-shell improved lattice gauge theories
journal, March 1985

  • Lüscher, M.; Weisz, P.
  • Communications in Mathematical Physics, Vol. 97, Issue 1-2
  • DOI: 10.1007/BF01206178

On-shell improved lattice gauge theories
journal, September 1985

  • Lüscher, M.; Weisz, P.
  • Communications in Mathematical Physics, Vol. 98, Issue 3
  • DOI: 10.1007/BF01205792

Computation of the action for on-shell improved lattice gauge theories at weak coupling
journal, August 1985


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


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


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


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


Variants of fattening and flavor symmetry restoration
journal, July 1999


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


Numerical simulations of quantum chromodynamics
journal, April 1983


Effects of staggered fermions and mixed actions on the scalar correlator
journal, January 2006


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


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


Scalar meson spectroscopy with lattice staggered fermions
journal, November 2007


Discretization effects and the scalar meson correlator in mixed-action lattice simulations
journal, June 2008


Fourth root prescription for dynamical staggered fermions
journal, December 2005


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


’t Hooft vertices, partial quenching, and rooted staggered QCD
journal, June 2008


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

  • Donald, Gordon C.; Davies, Christine T. H.; Follana, Eduardo
  • Physical Review D, Vol. 84, Issue 5
  • DOI: 10.1103/PhysRevD.84.054504

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


Massive fermions in lattice gauge theory
journal, April 1997

  • El-Khadra, Aida X.; Kronfeld, Andreas S.; Mackenzie, Paul B.
  • Physical Review D, Vol. 55, Issue 7
  • DOI: 10.1103/PhysRevD.55.3933

Tuning Fermilab heavy quarks in 2 + 1 flavor lattice QCD with application to hyperfine splittings
journal, February 2011


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


Static quark potential in three flavor QCD
journal, July 2000


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


Review of Particle Physics
journal, August 2014


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


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

  • Wingate, Matthew; Shigemitsu, Junko; Davies, Christine T. H.
  • Physical Review D, Vol. 67, Issue 5
  • DOI: 10.1103/PhysRevD.67.054505

Effective lagrangian and dynamical symmetry breaking in strongly coupled lattice QCD
journal, November 1981


Susskind fermions on a euclidean lattice
journal, November 1981


Spinor algebra of the one-component lattice fermions
journal, September 1982


Flavours of lagrangian Susskind fermions
journal, September 1983


Partial flavor symmetry restoration for chiral staggered fermions
journal, November 1999


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


The heavy quark potential and the ϒ, J/ψ systems
journal, March 1979


Constrained curve fitting
journal, March 2002


Excited heavy-light systems and hadronic transitions
journal, October 2001


Heavy-light meson spectroscopy and Regge trajectories in the relativistic quark model
journal, January 2010


On the vanishing of evanescent operators
journal, March 1991


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


The B+−Bd0 lifetime difference beyond leading logarithms
journal, September 2002


Two-loop QCD anomalous dimensions of flavour-changing four-quark operators within and beyond the Standard Model
journal, October 2000


A new algorithm for adaptive multidimensional integration
journal, May 1978


Viability of lattice perturbation theory
journal, September 1993


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

  • El-Khadra, Aida X.; Kronfeld, Andreas S.; Mackenzie, Paul B.
  • Physical Review D, Vol. 64, Issue 1
  • DOI: 10.1103/PhysRevD.64.014502

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


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

Scale setting for α s beyond leading order
journal, February 2003


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


B K l + l decay form factors from three-flavor lattice QCD
journal, January 2016


Accurate Determinations of α s from Realistic Lattice QCD
journal, July 2005


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


Pion and kaon masses in staggered chiral perturbation theory
journal, August 2003


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


New lattice action for heavy quarks
journal, July 2008


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


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


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


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


Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
journal, December 2004


B s K ν form factors from lattice QCD
journal, September 2014


Ab initio calculation of the neutron-proton mass difference
journal, March 2015


B and B s meson decay constants from lattice QCD
journal, August 2012


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


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


Quark mass anomalous dimension to O (αs4)
journal, July 1997


The 4-loop quark mass anomalous dimension and the invariant quark mass
journal, July 1997


The four-loop β-function in quantum chromodynamics
journal, May 1997


The four-loop QCD β-function and anomalous dimensions
journal, March 2005


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

B s , d + in the Standard Model with Reduced Theoretical Uncertainty
journal, March 2014


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


High-precision f B s and heavy quark effective theory from relativistic lattice QCD
journal, February 2012


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


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


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:msup><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mtext>–</mml:mtext><mml:msup><mml:mrow><mml:mover accent="true"><mml:mi>B</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></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:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msub></mml:math> with the decays <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:msup><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math> and <mml:math altimg="si4.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:msup><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo>→</mml:mo><mml:mi>J</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>ψ</mml:mi><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>⁎</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math>
journal, February 2013


Observation of B s 0 B ¯ s 0 Oscillations
journal, December 2006


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


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


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


Precision Measurement of C P Violation in B S 0 J / Ψ K + K Decays
journal, January 2015


Limits on the Decay-Rate Difference of Neutral B Mesons and on C P , T , and C P T Violation in B 0 B ¯ 0 Oscillations
journal, May 2004


Limits on the decay-rate difference of neutral B mesons and on CP , T , and CPT violation in B 0 B 0 oscillations
journal, July 2004


Search for time-dependent C P T violation in hadronic and semileptonic B decays
journal, April 2012


Study of C P -violating charge asymmetries of single muons and like-sign dimuons in p p ¯ collisions
journal, January 2014


Measurements of the B +, B 0, $ B_s^0 $ meson and $ \Lambda_b^0 $ baryon lifetimes
journal, April 2014

  • Aaij, R.; Adeva, B.; Adinolfi, M.
  • Journal of High Energy Physics, Vol. 2014, Issue 4
  • DOI: 10.1007/JHEP04(2014)114

Measurement of the Bottom-Strange Meson Mixing Phase in the Full CDF Data Set
journal, October 2012


Phenomenology of semileptonic B -meson decays with form factors from lattice QCD
journal, February 2016


Differential branching fractions and isospin asymmetries of B → K (*) μ + μ − decays
journal, June 2014

  • Aaij, R.; Adeva, B.; Adinolfi, M.
  • Journal of High Energy Physics, Vol. 2014, Issue 6
  • DOI: 10.1007/JHEP06(2014)133

First measurement of the differential branching fraction and CP asymmetry of the B ± → π ± μ + μ − decay
journal, October 2015

  • Aaij, R.; Adeva, B.; Adinolfi, M.
  • Journal of High Energy Physics, Vol. 2015, Issue 10
  • DOI: 10.1007/JHEP10(2015)034

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


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


Three-loop QCD corrections to B s → μ + μ −
journal, December 2013

  • Hermann, Thomas; Misiak, Mikolaj; Steinhauser, Matthias
  • Journal of High Energy Physics, Vol. 2013, Issue 12
  • DOI: 10.1007/JHEP12(2013)097

Electroweak corrections to B s , d +
journal, February 2014


Branching ratio measurements of B s decays
journal, July 2012


Probing New Physics via the B s 0 μ + μ Effective Lifetime
journal, July 2012


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

  • Buras, Andrzej J.; Fleischer, Robert; Girrbach, Jennifer
  • Journal of High Energy Physics, Vol. 2013, Issue 7
  • DOI: 10.1007/JHEP07(2013)077

2000 CKM-triangle analysis a critical review with updated experimental inputs and theoretical parameters
journal, July 2001


A new approach to a global fit of the CKM matrix
journal, June 2001

  • Höcker, A.; Lacker, H.; Laplace, S.
  • The European Physical Journal C, Vol. 21, Issue 2
  • DOI: 10.1007/s100520100729

Remark on the theoretical uncertainty in B0– mixing
journal, September 2002


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


ϵ K at next-to-next-to-leading order: The charm-top-quark contribution
journal, November 2010


Next-to-Next-to-Leading-Order Charm-Quark Contribution to the C P Violation Parameter ϵ K and Δ M K
journal, March 2012


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


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


Properties and uses of the Wilson flow in lattice QCD
journal, August 2010


Erratum: Properties and uses of the Wilson flow in lattice QCD
journal, March 2014


High-precision scale setting in lattice QCD
journal, September 2012

  • Borsányi, Szabolcs; Dürr, Stephan; Fodor, Zoltán
  • Journal of High Energy Physics, Vol. 2012, Issue 9
  • DOI: 10.1007/JHEP09(2012)010

Gradient flow and scale setting on MILC HISQ ensembles
journal, May 2016


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


Measurement of Form-Factor-Independent Observables in the Decay B 0 K * 0 μ + μ
journal, November 2013


Test of Lepton Universality Using B + K + + Decays
journal, October 2014


    Works referencing / citing this record:

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


    | V u s | from K ℓ 3 decay and four-flavor lattice QCD
    journal, June 2019


    Some results on lepton flavour universality violation
    journal, July 2019


    | V u s | from K ℓ 3 decay and four-flavor lattice QCD
    journal, June 2019


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


    Some results on lepton flavour universality violation
    journal, July 2019


    Flavor physics and flavor anomalies in minimal fundamental partial compositeness
    journal, June 2018