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We report on an exploratory study of domain wall fermions (DWF) as a latticeregularisation for heavy quarks. Within the framework of quenched QCD with thetree-level improved Symanzik gauge action we identify the DWF parameters whichminimise discretisation effects. We find the corresponding effective 4$d$overlap operator to be exponentially local, independent of the quark mass. Wedetermine a maximum bare heavy quark mass of $am_h\approx 0.4$, below which theapproximate chiral symmetry and O(a)-improvement of DWF are sustained. Thisthreshold appears to be largely independent of the lattice spacing. Based onthese findings, we carried out a detailed scaling study for the heavy-strangemeson dispersion relation and decay constant on four ensembles with latticespacings in the range $2.0-5.7\,\mathrm{GeV}$. We observe very mild $a^2$scaling towards the continuum limit. Our findings establish a sound basis forheavy DWF in dynamical simulations of lattice QCD with relevance to StandardModel phenomenology.

An exploratory study of heavy domain wall fermions on the lattice