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

Abstract

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.

Authors:
 [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
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Contributing Org.:
HPQCD Collaboration
OSTI Identifier:
1399365
Alternate Identifier(s):
OSTI ID: 1395916
Report Number(s):
JLAB-THY-17-2447; DOE/OR/23177-4123; arXiv:1703.05552
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
AC05-06OR23177
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 7; 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

Chakraborty, Bipasha, Davies, C. T. H., Donald, G. C., Koponen, J., and Lepage, G. P. Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the Φ meson. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.96.074502.
Chakraborty, Bipasha, Davies, C. T. H., Donald, G. C., Koponen, J., & Lepage, G. P. Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the Φ meson. United States. doi:10.1103/PhysRevD.96.074502.
Chakraborty, Bipasha, Davies, C. T. H., Donald, G. C., Koponen, J., and Lepage, G. P. Mon . "Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the Φ meson". United States. doi:10.1103/PhysRevD.96.074502. https://www.osti.gov/servlets/purl/1399365.
@article{osti_1399365,
title = {Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the Φ meson},
author = {Chakraborty, Bipasha and Davies, C. T. H. and Donald, G. C. and Koponen, J. and Lepage, G. P.},
abstractNote = {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.},
doi = {10.1103/PhysRevD.96.074502},
journal = {Physical Review D},
number = 7,
volume = 96,
place = {United States},
year = {2017},
month = {10}
}

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Works referenced in this record:

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 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


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

  • Chakraborty, Bipasha; Davies, C. T. H.; Donald, G. C.
  • Physical Review D, Vol. 89, Issue 11
  • DOI: 10.1103/PhysRevD.89.114501

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


B π 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

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

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

  • Chakraborty, Bipasha; Davies, C. T. H.; de Oliveira, P. G.
  • Physical Review D, Vol. 96, Issue 3
  • DOI: 10.1103/PhysRevD.96.034516

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 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

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

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


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

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

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


    Works referencing / citing this record:

    Exclusive semileptonic decays of D and Ds mesons in the covariant confining quark model
    journal, July 2019


    Exclusive semileptonic decays of D and Ds mesons in the covariant confining quark model
    journal, July 2019