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We compare correlators for pseudoscalar and vector mesons made from valencestrange quarks using the clover quark and highly improved staggered quark(HISQ) formalisms in full lattice QCD. We use fully nonperturbative methods tonormalise vector and axial vector current operators made from HISQ quarks,clover quarks and from combining HISQ and clover fields. This allows us to testexpectations for the renormalisation factors based on perturbative QCD, withimplications for the error budget of lattice QCD calculations of the matrixelements of clover-staggered $b$-light weak currents, as well as further HISQcalculations of the hadronic vacuum polarisation. We also compare the approachto the (same) continuum limit in clover and HISQ formalisms for the mass anddecay constant of the $\phi$ meson. Our final results for these parameters,using single-meson correlators and neglecting quark-line disconnected diagramsare: $m_{\phi} =$ 1.023(6) GeV and $f_{\phi} = $ 0.238(3) GeV in good agreementwith experiment. The results come from calculations in the HISQ formalism usinggluon fields that include the effect of $u$, $d$, $s$ and $c$ quarks in the seawith three lattice spacing values and $m_{u/d}$ values going down to thephysical point.

Nonperturbative comparison of clover and HISQ quarks in lattice QCD and the properties of the phi meson