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Title: Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the Φ meson

Journal Article · · Physical Review D
 [1];  [2];  [3];  [4];  [5]
  1. Univ. of Glasgow, Scotland (United Kingdom). School of Physics and Astronomy; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Univ. of Glasgow, Scotland (United Kingdom). School of Physics and Astronomy
  3. Univ. of Regensburg (Germany). Inst. for Theoretical Physics
  4. Univ. of Glasgow, Scotland (United Kingdom). School of Physics and Astronomy; National Inst. of Nuclear Physics (INFN), Rome (Italy)
  5. Cornell Univ., Ithaca, NY (United States). Lab. of Elementary-Particle Physics

Here, we compare correlators for pseudoscalar and vector mesons made from valence strange quarks using the clover quark and highly improved staggered quark (HISQ) formalisms in full lattice QCD. We use fully nonperturbative methods to normalise vector and axial vector current operators made from HISQ quarks, clover quarks and from combining HISQ and clover fields. This allows us to test expectations for the renormalisation factors based on perturbative QCD, with implications for the error budget of lattice QCD calculations of the matrix elements of clover-staggered $$b$$-light weak currents, as well as further HISQ calculations of the hadronic vacuum polarisation. We also compare the approach to the (same) continuum limit in clover and HISQ formalisms for the mass and decay constant of the $$\phi$$ meson. Our final results for these parameters, using single-meson correlators and neglecting quark-line disconnected diagrams are: $$m_{\phi} =$$ 1.023(5) GeV and $$f_{\phi} = $$ 0.238(3) GeV in good agreement with experiment. These results come from calculations in the HISQ formalism using gluon fields that include the effect of $$u$$, $$d$$, $$s$$ and $$c$$ quarks in the sea with three lattice spacing values and $$m_{u/d}$$ values going down to the physical point.

Research Organization:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Contributing Organization:
HPQCD Collaboration
Grant/Contract Number:
AC05-06OR23177
OSTI ID:
1399365
Alternate ID(s):
OSTI ID: 1395916
Report Number(s):
JLAB-THY-17-2447; DOE/OR/23177-4123; arXiv:1703.05552; PRVDAQ
Journal Information:
Physical Review D, Vol. 96, Issue 7; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 19 works
Citation information provided by
Web of Science

References (71)

Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks journal October 2014
V c s from D s → ϕ ℓ ν semileptonic decay and full lattice QCD journal October 2014
Renormalisation and off-shell improvement in lattice perturbation theory journal January 2001
Review of Particle Physics journal October 2016
High-precision c and b masses, and QCD coupling from current-current correlators in lattice and continuum QCD journal August 2010
Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point journal July 2009
Relativistic heavy quark effective action journal October 2007
B -meson decay constants from 2 + 1 -flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks journal March 2015
Toward the excited isoscalar meson spectrum from lattice QCD journal November 2013
B → π ℓ ν and B s → K ℓ ν form factors and | V u b | from 2 + 1 -flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks journal April 2015
One-loop matching factors for staggered bilinear operators with improved gauge actions journal June 2010
Update: Precision D s decay constant from full lattice QCD using very fine lattices journal December 2010
Non-perturbative renormalisation and improvement of the local vector current for quenched and unquenched Wilson fermions journal February 2004
Improved nonrelativistic QCD for heavy-quark physics journal November 1992
Precise B , B s , and B c meson spectroscopy from full lattice QCD journal January 2011
High-precision quark masses and QCD coupling from n f = 4 lattice QCD journal March 2015
Strange and charm quark contributions to the anomalous magnetic moment of the muon journal June 2014
Update of | V c b | from the B ¯ → D * ℓ ν ¯ form factor at zero recoil with three-flavor lattice QCD journal June 2014
B → π ℓ ν at zero recoil from lattice QCD with physical u / d quarks journal February 2016
High-precision scale setting in lattice QCD journal September 2012
Radiative corrections to the lattice gluon action for highly improved staggered quarks and the effect of such corrections on the static potential journal April 2009
B - and D -meson decay constants from three-flavor lattice QCD journal June 2012
Highly improved staggered quarks on the lattice with applications to charm physics journal March 2007
Non-perturbative determination of the axial current normalization constant in 0(a) improved lattice QCD journal April 1997
Hadronic vacuum polarization contribution to a μ from full lattice QCD journal August 2017
Application of heavy-quark effective theory to lattice QCD. III. Radiative corrections to heavy-heavy currents journal May 2002
One loop renormalization of lattice nonrelativistic QCD currents for semileptonic B → D ( * ) decays to order p → / M journal September 2000
Matching lattice and continuum axial-vector and vector currents with nonrelativistic QCD and highly improved staggered quarks journal February 2013
Application of heavy-quark effective theory to lattice QCD. II. Radiative corrections to heavy-light currents journal May 2002
| V u b | from B → π ℓ ν decays and ( 2 + 1 )-flavor lattice QCD journal July 2015
Constrained curve fitting journal March 2002
Lattice QCD ensembles with four flavors of highly improved staggered quarks journal March 2013
The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea journal March 2012
Perturbative calculation of improvement coefficients to O ( g 2 a ) for bilinear quark operators in lattice QCD journal October 1998
One-loop matching of the heavy-light A 0 and V 0 currents with nonrelativistic QCD heavy and improved naive light quarks journal April 2004
High-precision f B s and heavy quark effective theory from relativistic lattice QCD journal February 2012
Exclusive D s semileptonic branching fraction measurements journal July 2015
Massive fermions in lattice gauge theory journal April 1997
High-Precision Determination of the π , K , D , and D s Decay Constants from Lattice QCD journal February 2008
Calculation of B 0 → K * 0 μ + μ − and B s 0 → ϕ μ + μ − Observables Using Form Factors from Lattice QCD journal May 2014
Lattice Methods for Quantum Chromodynamics book September 2006
Leptonic-Decay-Constant Ratio f K + / f π + from Lattice QCD with Physical Light Quarks journal April 2013
Study of the decay D s + → K + K − e + ν e journal September 2008
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
Two-loop renormalization of vector, axial-vector, and tensor fermion bilinears on the lattice journal May 2009
Heavy-light mesons with staggered light quarks journal March 2003
B -meson decay constants: A more complete picture from full lattice QCD journal June 2015
Viability of lattice perturbation theory journal September 1993
Precise determination of the lattice spacing in full lattice QCD journal February 2010
Perturbative corrections for staggered four-fermion operators journal April 1994
Estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD journal April 2016
Perturbative matching of lattice and continuum heavy-light currents with NRQCD heavy quarks journal March 1999
Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
  • Skouroupathis, Apostolos; Panagopoulos, Haralambos
  • Proceedings of European Physical Society Europhysics Conference on High Energy Physics — PoS(EPS-HEP 2009) https://doi.org/10.22323/1.084.0465
conference June 2010
Review of Particle Physics text January 2008
Review of Particle Physics text January 2018
Review of Particle Physics text January 2012
Radiative corrections to the lattice gluon action for highly improved staggered quarks (HISQ) and the effect of such corrections on the static potential text January 2008
Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point text January 2009
Precise determination of the lattice spacing in full lattice QCD text January 2009
One-loop matching factors for staggered bilinear operators with improved gauge actions text January 2010
The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea text January 2011
Toward the excited isoscalar meson spectrum from lattice QCD text January 2013
Strange and charm quark contributions to the anomalous magnetic moment of the muon text January 2014
B-meson decay constants: a more complete picture from full lattice QCD text January 2015
Non-perturbative renormalisation and improvement of the local vector current for quenched and unquenched Wilson fermions text January 2003
Relativistic Heavy Quark Effective Action text January 2006
Perturbative Corrections for Staggered Four-Fermion Operators text January 1993
Massive Fermions in Lattice Gauge Theory text January 1996
Perturbative matching of lattice and continuum heavy-light currents with NRQCD heavy quarks text January 1998

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Left-Right SU(4) Vector Leptoquark Model for Flavor Anomalies text January 2018
Renormalising vector currents in lattice QCD using momentum-subtraction schemes text January 2019