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An exploratory study of heavy domain wall fermions on the lattice

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arxiv 1602.04118 v1 pith:HFSVV6MW submitted 2016-02-12 hep-lat

classification hep-lat
keywords latticeheavydomainexploratoryfermionsfindingsindependentmass
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $am_h\approx 0.4$, 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.

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Cited by 2 Pith papers

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  1. Split-even approach to the rare kaon decay $K \to \pi \ell^+ \ell^-$

    hep-lat 2025-01 conditional novelty 6.0 of 10

    Applying the split-even estimator to the rare kaon decay lattice calculation reduces statistical noise by roughly an order of magnitude on the dominant loop diagrams.

  2. Form factors for semileptonic B(s) -> D*(s) l nu_l decays

    hep-lat 2024-12 accept novelty 5.0 of 10

    RBC/UKQCD presents preliminary, unrenormalized lattice form factors for B_s to D*_s semileptonic decay on a single ensemble, covering a q^2 range similar to published calculations.

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