An exploratory study of heavy domain wall fermions on the lattice

Abstract

We report on an exploratory study of domain wall fermions (DWF) as a lattice regularisation for heavy quarks. Within the framework of quenched QCD with the tree-level improved Symanzik gauge action we identify the DWF parameters which minimise discretisation effects. We find the corresponding effective 4$d$ overlap operator to be exponentially local, independent of the quark mass. We determine a maximum bare heavy quark mass of $a{m}_h\approx 0.4$, below which the approximate chiral symmetry and O(a)-improvement of DWF are sustained. This threshold appears to be largely independent of the lattice spacing. Based on these findings, we carried out a detailed scaling study for the heavy-strange meson dispersion relation and decay constant on four ensembles with lattice spacings 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 for heavy DWF in dynamical simulations of lattice QCD with relevance to Standard Model phenomenology.

arXiv comment23 pages, 8 figures

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Cited by in corpus (9)

• FLAG Review 2019
• FLAG Review 2021
• The decay constants ${\mathbf{f}}_{\mathbf{D}}$ and ${\mathbf{f}}_{{\mathbf{D}}_{\mathbf{s}}}$ in the continuum limit of ${\mathbf{N}}_{\mathbf{f}}=2+1$ domain wall lattice QCD
• Proof of the renormalizability of the gradient flow
• SU(3)-breaking ratios for $D_{(s)}$ and $B_{(s)}$ mesons
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• Beauty mesons in $N_f=2+1+1+1$ lattice QCD with exact chiral symmetry
• Unphysical poles and dispersion relations for Möbius domain-wall fermions in free field theory at finite $L_s$
• Charm Physics with Domain Wall Fermions and Physical Pion Masses