Abstract:We develop an improved lattice action for heavy quarks based on Brillouintype fermions, that have excellent energy-momentum dispersion relation. The leading discretization errors of O(a) and O(a 2 ) are eliminated at tree-level. We carry out a scaling study of this improved Brillouin fermion action on quenched lattices by calculating the charmonium energy-momentum dispersion relation and hyperfine splitting. We present a comparison to standard Wilson fermions and domain-wall fermions.

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We present scaling studies for heavy-quark observables calculated with an O(a 2 )-improved fermion action on tree-level Symanzik improved gauge configurations. Lattices of 1/a = 2.0-3.8 GeV with an equal physical volume 1.6 fm are used. The results are compared with the standard domain-wall and naive Wilson fermions.

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We present results showing that Domain Wall fermions are a suitable discretisation for the simulation of heavy quarks. This is done by a continuum scaling study of charm quarks in a Möbius Domain Wall formalism using a quenched set-up. We find that discretisation effects remain well controlled by the choice of Domain Wall parameters preparing the ground work for the ongoing dynamical 2 + 1 f charm program of RBC/UKQCD.