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

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.
 [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:
Report Number(s):
JLAB-THY-17-2447; DOE/OR/23177-4123; arXiv:1703.05552
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 7; Journal ID: ISSN 2470-0010
American Physical Society (APS)
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 Orgs:
HPQCD Collaboration
Country of Publication:
United States
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1395916