O(α3 s) conversion relation betweeen MS and Euclidean quark masses∗

Abstract

Quark masses are fundamental parameters of the QCD Lagrangian. Nevertheless, their relation to measurable physical quantities is not direct: the masses depend on the renormalization scheme and, within a given one, on the renormalization scale μ. In the realm of pQCD the most often used definition is based on the MS-scheme [1,2] which leads to the so-called short-distance MS mass. Such a definition is of great convenience for dealing with mass-dependent inclusive physical observables dominated by short distances (for a review see [3]). Unfortunately, as their mass dependence is relatively weak the predictions are usually difficult to use for getting a precise information on quark masses. To determine the absolute values of quark masses, one necessarily has to rely on the methods which incorporate the features of nonperturbative QCD. So far, the only two methods which are based on QCD from the first principles are QCD sum rules and lattice QCD (for recent discussions see e.g. [4–6,8–13]). Rather accurate determinations of the ratios of various quarks masses can be obtained within Chiral Perturbation Theory [14]. Lattice QCD provides a direct way to determine a quark mass from first principles. Unlike QCD sum rules it does not require model assumptions. It is possible to carry out the systematic improvement of lattice QCD so that

Cite this paper

@inproceedings{Chetyrkin1999O3SC, title={O(α3 s) conversion relation betweeen MS and Euclidean quark masses∗}, author={Konstantin Chetyrkin and A. Retey}, year={1999} }