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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, 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:
Journal Article: 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.
@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 = {Mon Oct 02 00:00:00 EDT 2017},
month = {Mon Oct 02 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on October 2, 2018
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