A Relativistic $O(a^2)$ Improved Action for Heavy Quarks

TL;DR

This paper develops an $O(a^2)$ improved relativistic action for heavy quarks, extending the Fermilab formalism to reduce discretization errors in lattice QCD simulations.

Contribution

The authors construct a new $O(a^2)$ improved relativistic action for heavy quarks, identifying redundant operators and calculating improvement coefficients.

Findings

The new action reduces discretization errors for heavy quark simulations.

The formalism extends the Fermilab approach to higher order improvements.

The construction includes detailed operator analysis and coefficient calculations.

Abstract

We extend the Fermilab formalism for heavy quarks to develop an $O(a^2)$ improved relativistic action. We discuss our construction of the action, including the identification of redundant operators and the calculation of the improvement coefficients.