Towards a non-perturbative computation of the RGI strange quark mass   with two dynamical flavors
  The non-perturbative running of the quark mass in the Schroedinger functional scheme is computed over a large energy range (covering scales differing by two orders of magnitude). This allows to relate lattice estimates of the running quark mass to the renormalization group invariant mass. The result is used in a preliminary computation of the strange quark mass in the theory with two flavors of non-perturbatively improved Wilson quarks. A more detailed discussion of the calculation can be found in [1]. 
Michele Della Morte, Roland Hoffmann, Francesco Knechtli, Juri Rolf,   Rainer Sommer, Ines Wetzorke and Ulli Wolff