An exploratory study of heavy domain wall fermions on the lattice

• Published in: arXiv.org
• Main Authors: Boyle, Peter, Juttner, Andreas, Marina Krstic Marinkovic, Sanfilippo, Francesco, Spraggs, Matthew, Justus Tobias Tsang
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 12.02.2016
• Subjects: Computer simulation; Domain walls; Fermions; Parameter identification; Phenomenology; Physics - High Energy Physics - Lattice; Quantum chromodynamics; Quarks; Regularization; Scaling
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1602.04118

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.