On-shell improvement of the massive Wilson quark action

TL;DR

This paper discusses an improved relativistic approach to heavy quark physics in lattice QCD, reducing discretization errors and determining key coefficients up to one-loop level, with preliminary simulation results.

Contribution

It introduces a relativistic $O(a)$ improvement method for the massive Wilson quark action, including the calculation of improvement coefficients and renormalization factors in a mass-dependent framework.

Findings

Reduction of uncertainties to order $(a\Lambda_{ m QCD})^2$

Determination of four improvement coefficients at one-loop level

Presentation of preliminary numerical simulation results

Abstract

We review a relativistic approach to the heavy quark physics in lattice QCD by applying a relativistic $O(a)$ improvement to the massive Wilson quark action on the lattice. After explaining how power corrections of $m_Q a$ can be avoided and remaining uncertainties are reduced to be of order $(a\Lambda_{\rm QCD})^2$, we demonstrate a determination of four improvement coefficients in the action up to one-loop level in a mass dependent way. We also show a perturbative determination of mass dependent renormalization factors and $O(a)$ improvement coefficients for the vector and axial vector currents. Some preliminary results of numerical simulations are also presented.