Numerical Tests of the Improved Fermilab Action

TL;DR

This paper presents initial numerical tests of the improved Fermilab (OK) action, which includes higher-dimension operators to reduce discretization errors, demonstrating improved results over the clover action in heavy-quark systems.

Contribution

First numerical simulations of the OK action incorporating dimension-six and -seven operators, showing improved accuracy in heavy-quark system mass calculations.

Findings

Clear improvement over clover action in mass calculations

Reduction in discretization errors demonstrated

Preliminary results support further development

Abstract

Recently, the Fermilab heavy-quark action was extended to include dimension-six and -seven operators in order to reduce the discretization errors. In this talk, we present results of the first numerical simulations with this action (the OK action), where we study the masses of the quarkonium and heavy-light systems. We calculate combinations of masses designed to test improvement and compare results obtained with the OK action to their counterparts obtained with the clover action. Our preliminary results show a clear improvement.