Scaling behavior of improvement and renormalization constants

TL;DR

This paper investigates the scaling behavior of renormalization and improvement constants in lattice QCD, analyzing their dependence on lattice spacing and quantifying residual discretization errors across multiple beta values.

Contribution

It provides a comprehensive analysis of scale independent renormalization and improvement constants, including their quark mass dependence and residual discretization errors in lattice QCD.

Findings

Renormalization constants show specific scaling patterns across beta values.

Quantification of residual discretization errors at different lattice spacings.

Insights into the quark mass dependence of renormalization constants.

Abstract

This talk summarizes results for all the scale independent renormalization constants for bilinear currents ($Z_A$, $Z_V$, and $Z_S/Z_P$), the improvement constants ($c_A$, $c_V$, and $c_T$), the quark mass dependence of $Z_O$, and the coefficients of the equation of motion operators for $O(a)$ improved lattice QCD. Using data at $\beta=6.0$, 6.2 and 6.4 we study the scaling behavior of these quantities and quantify residual discretization errors.