- Published 2004

The renormalisation group running of the quark mass is determined non-perturbatively for a large range of scales, by computing the step scaling function in the Schrödinger Functional formalism of quenched lattice QCD both with and without O(a) improvement. A one-loop perturbative calculation of the discretisation effects has been carried out for both the Wilson and the Clover-improved actions and for a large number of lattice resolutions. The non-perturbative computation yields continuum results which are regularisation independent, thus providing convincing evidence for the uniqueness of the continuum limit. As a byproduct, the ratio of the renormalisation group invariant quark mass to the quark mass, renormalised at a hadronic scale, is obtained with very high accuracy.

@inproceedings{Guagnelli2004TheCL,
title={The continuum limit of the quark mass step scaling function in quenched lattice QCD},
author={M. Guagnelli and J . Heitger and F. Palombi and Clara Pe{\~n}a and Anastassios Vladikas},
year={2004}
}