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

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

doi:10.1103/PhysRevD.93.113016

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 B_s-meson mixing in and beyond the Standard Model. In this paper, 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 fivemore »« less

Authors:

Bazavov, A. ^[1]; Bernard, C. ^[2]; Bouchard, C. M. ^[3]; Chang, C. C. ^[4]; DeTar, C. ^[5]; Du, Daping ^[6]; El-Khadra, A. X. ^[4]; Freeland, E. D. ^[7]; Gamiz, E. ^[8]; Gottlieb, Steven ^[9]; Heller, U. M. ^[10]; Kronfeld, A. S. ^[11]; Laiho, J. ^[6]; Mackenzie, P. B. ^[12]; Neil, E. T. ^[13]; Simone, J. ^[12]; Sugar, R. ^[14]; Toussaint, D. ^[15]; Van de Water, R. S. ^[12]; Zhou, Ran ^[12]

Univ. of Iowa, Iowa City, IA (United States)
Washington Univ., St. Louis, MO (United States)
The College of William and Mary, Williamsburg, VA (United States)
Univ. of Illinois, Urbana, IL (United States)
Univ. of Utah, Salt Lake City, UT (United States)
Syracuse Univ., Syracuse, NY (United States)
School of the Art Institute of Chicago, Chicago, IL (United States)
Univ. de Granada, Granada (Spain)
Indiana Univ., Bloomington, IN (United States)
American Physical Society, Ridge, NY (United States)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Technische Univ. Munchen, Garching (Germany)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Univ. of Colorado, Boulder, CO (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
Univ. of California, Santa Barbara, CA (United States)
Univ. of Arizona, Tucson, AZ (United States)

Publication Date:: Tue Jun 28 00:00:00 EDT 2016

Research Org.:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States). RIKEN Research Center

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

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:: Journal Article: 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.

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                    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.  https://doi.org/10.1103/PhysRevD.93.113016

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                    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. 2016.  
        "$B^0_{(s)}$-mixing matrix elements from lattice QCD for the Standard Model and beyond".  United States.  https://doi.org/10.1103/PhysRevD.93.113016.  https://www.osti.gov/servlets/purl/1260383.

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@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. In this paper, 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. Lastly, 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},

  url          = {https://www.osti.gov/biblio/1260383},
  journal      = {Physical Review D},

  issn         = {2470-0010},

  number       = 11,

  volume       = 93,

  place        = {United States},

  year         = {Tue Jun 28 00:00:00 EDT 2016},

  month        = {Tue Jun 28 00:00:00 EDT 2016}

}

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Abe, K.; Abe, K.; Adachi, I.
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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) ]
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Aaij, R.; Abellan Beteta, C.; Adametz, A.
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Observation of $B_{s}^{0} - {\bar{B}}_{s}^{0}$ Oscillations
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Abulencia, A.; Adelman, J.; Affolder, T.
Physical Review Letters, Vol. 97, Issue 24
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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
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Precision measurement of the B ⁰ _s –$\overline{\rm B}{}^0_{\rm s}$ oscillation frequency with the decay B ⁰ _s → D ⁻ _s π ⁺
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Observation of $B^{0}_{s}$ – $\overline{B}{}^{0}_{s}$ mixing and measurement of mixing frequencies using semileptonic B decays
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Aaij, R.; Adeva, B.; Adinolfi, M.
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Precision Measurement of $C P$ Violation in $B_{S}^{0} \to J / Ψ K^{+} K^{-}$ Decays
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Limits on the Decay-Rate Difference of Neutral $B$ Mesons and on $C P$ , $T$ , and $C P T$ Violation in $B^{0} {\bar{B}}^{0}$ Oscillations
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Aubert, B.; Barate, R.; Boutigny, D.
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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:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msubsup><mml:mo>→</mml:mo><mml:mi>J</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>ψ</mml:mi><mml:msubsup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">S</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msubsup></mml:math> branching fraction
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Title: $$B^0_{(s)}$$-mixing matrix elements from lattice QCD for the Standard Model and beyond

Abstract

Citation Formats

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

Implications of LHCb measurements and future prospects journal, April 2013

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 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

Radiative improvement of the lattice nonrelativistic QCD action using the background field method with applications to quarkonium spectroscopy journal, July 2013

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

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

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

On new physics in ΔΓ d journal, June 2014

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

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

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

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

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

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

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

On-shell improved lattice gauge theories journal, September 1985

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

Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe journal, March 2007

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

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

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

Massive fermions in lattice gauge theory journal, April 1997

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

Static quark potential in three flavor QCD journal, July 2000

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

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

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

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

Implications of LHCb measurements and future prospects
journal, April 2013

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 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

Radiative improvement of the lattice nonrelativistic QCD action using the background field method with applications to quarkonium spectroscopy
journal, July 2013

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

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

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

Anatomy of new physics in $B$ - $\bar{B}$ mixing
journal, February 2011

Constraints on new physics in $B - \bar{B}$ 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

On new physics in ΔΓ d
journal, June 2014

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

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

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

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

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

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

Width difference in the $B_{s} - {\bar{B}}_{s}$ 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

On-shell improved lattice gauge theories
journal, September 1985

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

Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe
journal, March 2007

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

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

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

Massive fermions in lattice gauge theory
journal, April 1997

Update of $| V_{c b} |$ from the $\bar{B} \to D^{*} ℓ \bar{ν}$ form factor at zero recoil with three-flavor lattice QCD
journal, June 2014

Static quark potential in three flavor QCD
journal, July 2000

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

$B$ - 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

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