Nonperturbative comparison of clover and highly improved staggered quarks in lattice QCD and the properties of the $\Phi $ 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 cloverstaggered $b$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 singlemeson correlators and neglecting quarkline 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:

 Univ. of Glasgow, Scotland (United Kingdom). School of Physics and Astronomy; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Univ. of Glasgow, Scotland (United Kingdom). School of Physics and Astronomy
 Univ. of Regensburg (Germany). Inst. for Theoretical Physics
 Univ. of Glasgow, Scotland (United Kingdom). School of Physics and Astronomy; National Inst. of Nuclear Physics (INFN), Rome (Italy)
 Cornell Univ., Ithaca, NY (United States). Lab. of ElementaryParticle 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)
 Contributing Org.:
 HPQCD Collaboration
 OSTI Identifier:
 1399365
 Alternate Identifier(s):
 OSTI ID: 1395916
 Report Number(s):
 JLABTHY172447; DOE/OR/231774123; arXiv:1703.05552
Journal ID: ISSN 24700010; PRVDAQ
 Grant/Contract Number:
 AC0506OR23177
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 96; Journal Issue: 7; Journal ID: ISSN 24700010
 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. https://doi.org/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. https://doi.org/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. https://doi.org/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 cloverstaggered $b$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 singlemeson correlators and neglecting quarkline 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}
}
Web of Science
Works referenced in this record:
Charmed and light pseudoscalar meson decay constants from fourflavor lattice QCD with physical light quarks
journal, October 2014
 Bazavov, A.; Bernard, C.; Komijani, J.
 Physical Review D, Vol. 90, Issue 7
${V}_{cs}$ from ${D}_{s}\to \varphi \ell \nu $ semileptonic decay and full lattice QCD
journal, October 2014
 Donald, G. C.; Davies, C. T. H.; Koponen, J.
 Physical Review D, Vol. 90, Issue 7
Renormalisation and offshell improvement in lattice perturbation theory
journal, January 2001
 Capitani, S.; Göckeler, M.; Horsley, R.
 Nuclear Physics B, Vol. 593, Issue 12
Highprecision $c$ and $b$ masses, and QCD coupling from currentcurrent correlators in lattice and continuum QCD
journal, August 2010
 McNeile, C.; Davies, C. T. H.; Follana, E.
 Physical Review D, Vol. 82, Issue 3
Renormalization of quark bilinear operators in a momentumsubtraction scheme with a nonexceptional subtraction point
journal, July 2009
 Sturm, C.; Aoki, Y.; Christ, N. H.
 Physical Review D, Vol. 80, Issue 1
Relativistic heavy quark effective action
journal, October 2007
 Christ, Norman H.; Li, Min; Lin, HueyWen
 Physical Review D, Vol. 76, Issue 7
$B$ meson decay constants from $2+1$ flavor lattice QCD with domainwall light quarks and relativistic heavy quarks
journal, March 2015
 Christ, N. H.; Flynn, J. M.; Izubuchi, T.
 Physical Review D, Vol. 91, Issue 5
Toward the excited isoscalar meson spectrum from lattice QCD
journal, November 2013
 Dudek, Jozef J.; Edwards, Robert G.; Guo, Peng
 Physical Review D, Vol. 88, Issue 9
$B\to \pi \ell \nu $ and ${B}_{s}\to K\ell \nu $ form factors and ${V}_{ub}$ from $2+1$ flavor lattice QCD with domainwall light quarks and relativistic heavy quarks
journal, April 2015
 Flynn, J. M.; Izubuchi, T.; Kawanai, T.
 Physical Review D, Vol. 91, Issue 7
Oneloop matching factors for staggered bilinear operators with improved gauge actions
journal, June 2010
 Kim, Jongjeong; Lee, Weonjong; Sharpe, Stephen R.
 Physical Review D, Vol. 81, Issue 11
Update: Precision ${D}_{s}$ decay constant from full lattice QCD using very fine lattices
journal, December 2010
 Davies, C. T. H.; McNeile, C.; Follana, E.
 Physical Review D, Vol. 82, Issue 11
Nonperturbative renormalisation and improvement of the local vector current for quenched and unquenched Wilson fermions
journal, February 2004
 Bakeyev, T.; Göckeler, M.; Horsley, R.
 Physics Letters B, Vol. 580, Issue 34
Improved nonrelativistic QCD for heavyquark physics
journal, November 1992
 Lepage, G. Peter; Magnea, Lorenzo; Nakhleh, Charles
 Physical Review D, Vol. 46, Issue 9
Precise $B$ , ${B}_{s}$ , and ${B}_{c}$ meson spectroscopy from full lattice QCD
journal, January 2011
 Gregory, Eric B.; Davies, Christine T. H.; Kendall, Iain D.
 Physical Review D, Vol. 83, Issue 1
Highprecision quark masses and QCD coupling from ${n}_{f}=4$ lattice QCD
journal, March 2015
 Chakraborty, Bipasha; Davies, C. T. H.; Galloway, B.
 Physical Review D, Vol. 91, Issue 5
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
Update of ${V}_{cb}$ from the $\overline{B}\to {D}^{*}\mathbf{\ell}\overline{\nu}$ form factor at zero recoil with threeflavor lattice QCD
journal, June 2014
 Bailey, Jon A.; Bazavov, A.; Bernard, C.
 Physical Review D, Vol. 89, Issue 11
$B\to \pi \ell \nu $ at zero recoil from lattice QCD with physical $u/d$ quarks
journal, February 2016
 Colquhoun, B.; Dowdall, R. J.; Koponen, J.
 Physical Review D, Vol. 93, Issue 3
Highprecision scale setting in lattice QCD
journal, September 2012
 Borsányi, Szabolcs; Dürr, Stephan; Fodor, Zoltán
 Journal of High Energy Physics, Vol. 2012, Issue 9
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
 Hart, A.; von Hippel, G. M.; Horgan, R. R.
 Physical Review D, Vol. 79, Issue 7
$B$  and $D$ meson decay constants from threeflavor lattice QCD
journal, June 2012
 Bazavov, A.; Bernard, C.; Bouchard, C. M.
 Physical Review D, Vol. 85, Issue 11
Highly improved staggered quarks on the lattice with applications to charm physics
journal, March 2007
 Follana, E.; Mason, Q.; Davies, C.
 Physical Review D, Vol. 75, Issue 5
Nonperturbative determination of the axial current normalization constant in 0(a) improved lattice QCD
journal, April 1997
 Lüscher, Martin; Sint, Stefan; Sommer, Rainer
 Nuclear Physics B, Vol. 491, Issue 12
Hadronic vacuum polarization contribution to ${a}_{\mu}$ from full lattice QCD
journal, August 2017
 Chakraborty, Bipasha; Davies, C. T. H.; de Oliveira, P. G.
 Physical Review D, Vol. 96, Issue 3
Application of heavyquark effective theory to lattice QCD. III. Radiative corrections to heavyheavy currents
journal, May 2002
 Harada, Junpei; Hashimoto, Shoji; Kronfeld, Andreas S.
 Physical Review D, Vol. 65, Issue 9
One loop renormalization of lattice nonrelativistic QCD currents for semileptonic $\overrightarrow{B}{D}^{\left(*\right)}$ decays to order $\overrightarrow{p}/M$
journal, September 2000
 Boyle, Peter; Davies, Christine
 Physical Review D, Vol. 62, Issue 7
Matching lattice and continuum axialvector and vector currents with nonrelativistic QCD and highly improved staggered quarks
journal, February 2013
 Monahan, Christopher; Shigemitsu, Junko; Horgan, Ron
 Physical Review D, Vol. 87, Issue 3
Application of heavyquark effective theory to lattice QCD. II. Radiative corrections to heavylight currents
journal, May 2002
 Harada, Junpei; Hashimoto, Shoji; Ishikawa, KenIchi
 Physical Review D, Vol. 65, Issue 9
${V}_{ub}$ from $B\to \pi \ell \nu $ decays and ( $2+1$ )flavor lattice QCD
journal, July 2015
 Bailey, Jon. A.; Bazavov, A.; Bernard, C.
 Physical Review D, Vol. 92, Issue 1
Constrained curve fitting
journal, March 2002
 Lepage, G. P.; Clark, B.; Davies, C. T. H.
 Nuclear Physics B  Proceedings Supplements, Vol. 106107
Lattice QCD ensembles with four flavors of highly improved staggered quarks
journal, March 2013
 Bazavov, A.; Bernard, C.; Komijani, J.
 Physical Review D, Vol. 87, Issue 5
The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea
journal, March 2012
 Dowdall, R. J.; Colquhoun, B.; Daldrop, J. O.
 Physical Review D, Vol. 85, Issue 5
Perturbative calculation of improvement coefficients to ${O(g}^{2}a)$ for bilinear quark operators in lattice QCD
journal, October 1998
 Taniguchi, Yusuke; Ukawa, Akira
 Physical Review D, Vol. 58, Issue 11
Oneloop matching of the heavylight ${A}_{0}$ and ${V}_{0}$ currents with nonrelativistic QCD heavy and improved naive light quarks
journal, April 2004
 Gulez, Emel; Shigemitsu, Junko; Wingate, Matthew
 Physical Review D, Vol. 69, Issue 7
Highprecision ${f}_{{B}_{s}}$ and heavy quark effective theory from relativistic lattice QCD
journal, February 2012
 McNeile, C.; Davies, C. T. H.; Follana, E.
 Physical Review D, Vol. 85, Issue 3
Exclusive ${D}_{s}$ semileptonic branching fraction measurements
journal, July 2015
 Hietala, J.; CroninHennessy, D.; Pedlar, T.
 Physical Review D, Vol. 92, Issue 1
Massive fermions in lattice gauge theory
journal, April 1997
 ElKhadra, Aida X.; Kronfeld, Andreas S.; Mackenzie, Paul B.
 Physical Review D, Vol. 55, Issue 7
HighPrecision Determination of the $\pi $ , $K$ , $D$ , and ${D}_{s}$ Decay Constants from Lattice QCD
journal, February 2008
 Follana, E.; Davies, C. T. H.; Lepage, G. P.
 Physical Review Letters, Vol. 100, Issue 6
Calculation of ${B}^{0}\to {K}^{*0}{\mu}^{+}{\mu}^{}$ and ${B}_{s}^{0}\to \varphi {\mu}^{+}{\mu}^{}$ Observables Using Form Factors from Lattice QCD
journal, May 2014
 Horgan, Ronald R.; Liu, Zhaofeng; Meinel, Stefan
 Physical Review Letters, Vol. 112, Issue 21
LeptonicDecayConstant Ratio ${f}_{{K}^{+}}/{f}_{{\pi}^{+}}$ from Lattice QCD with Physical Light Quarks
journal, April 2013
 Bazavov, A.; Bernard, C.; DeTar, C.
 Physical Review Letters, Vol. 110, Issue 17
Study of the decay ${D}_{s}^{+}\to {K}^{+}{K}^{}{e}^{+}{\nu}_{e}$
journal, September 2008
 Aubert, B.; Bona, M.; Karyotakis, Y.
 Physical Review D, Vol. 78, Issue 5
$B$ Meson Decay Constants from Improved Lattice Nonrelativistic QCD with Physical $u$ , $d$ , $s$ , and $c$ Quarks
journal, May 2013
 Dowdall, R. J.; Davies, C. T. H.; Horgan, R. R.
 Physical Review Letters, Vol. 110, Issue 22
${V}_{us}$ from $\pi $ and $K$ decay constants in full lattice QCD with physical $u$ , $d$ , $s$ , and $c$ quarks
journal, October 2013
 Dowdall, R. J.; Davies, C. T. H.; Lepage, G. P.
 Physical Review D, Vol. 88, Issue 7
Precision tests of the $J/\psi $ from full lattice QCD: Mass, leptonic width, and radiative decay rate to ${\eta}_{c}$
journal, November 2012
 Donald, G. C.; Davies, C. T. H.; Dowdall, R. J.
 Physical Review D, Vol. 86, Issue 9
Twoloop renormalization of vector, axialvector, and tensor fermion bilinears on the lattice
journal, May 2009
 Skouroupathis, A.; Panagopoulos, H.
 Physical Review D, Vol. 79, Issue 9
Heavylight mesons with staggered light quarks
journal, March 2003
 Wingate, Matthew; Shigemitsu, Junko; Davies, Christine T. H.
 Physical Review D, Vol. 67, Issue 5
$B$ meson decay constants: A more complete picture from full lattice QCD
journal, June 2015
 Colquhoun, B.; Davies, C. T. H.; Kettle, J.
 Physical Review D, Vol. 91, Issue 11
Viability of lattice perturbation theory
journal, September 1993
 Lepage, G. Peter; Mackenzie, Paul B.
 Physical Review D, Vol. 48, Issue 5
Precise determination of the lattice spacing in full lattice QCD
journal, February 2010
 Davies, C. T. H.; Follana, E.; Kendall, I. D.
 Physical Review D, Vol. 81, Issue 3
Perturbative corrections for staggered fourfermion operators
journal, April 1994
 Sharpe, Stephen R.; Patel, Apoorva
 Nuclear Physics B, Vol. 417, Issue 12
Estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD
journal, April 2016
 Chakraborty, Bipasha; Davies, C. T. H.; Koponen, J.
 Physical Review D, Vol. 93, Issue 7
Perturbative matching of lattice and continuum heavylight currents with NRQCD heavy quarks
journal, March 1999
 Morningstar, Colin J.; Shigemitsu, J.
 Physical Review D, Vol. 59, Issue 9
Works referencing / citing this record:
Exclusive semileptonic decays of D and Ds mesons in the covariant confining quark model
journal, July 2019
 Ivanov, M. A.; Körner, J. G.; Pandya, J. N.
 Frontiers of Physics, Vol. 14, Issue 6
Neutral $B$ meson mixing from full lattice QCD at the physical point
journal, November 2019
 Dowdall, R. J.; Davies, C. T. H.; Horgan, R. R.
 Physical Review D, Vol. 100, Issue 9
Renormalizing vector currents in lattice QCD using momentumsubtraction schemes
journal, December 2019
 Hatton, D.; Davies, C. T. H.; Lepage, G. P.
 Physical Review D, Vol. 100, Issue 11
Hadronicvacuumpolarization contribution to the muon’s anomalous magnetic moment from fourflavor lattice QCD
journal, February 2020
 Davies, C. T. H.; DeTar, C.; ElKhadra, A. X.
 Physical Review D, Vol. 101, Issue 3
Selfconsistency and covariance of lightfront quark models: Testing via $P$ , $V$ , and $A$ meson decay constants, and $P\to P$ weak transition form factors
journal, December 2018
 Chang, Qin; Li, XiaoNan; Li, XinQiang
 Physical Review D, Vol. 98, Issue 11
Combined explanations of the $b\to s{\mu}^{+}{\mu}^{}$ and $b\to c{\tau}^{}\overline{\nu}$ anomalies: A general model analysis
journal, January 2019
 Kumar, Jacky; London, David; Watanabe, Ryoutaro
 Physical Review D, Vol. 99, Issue 1
Leftright SU(4) vector leptoquark model for flavor anomalies
journal, March 2019
 Fornal, Bartosz; Gadam, Sri Aditya; Grinstein, Benjamín
 Physical Review D, Vol. 99, Issue 5