I will review new measurements of the b quark mass, presented at this
conference by ALEPH and DELPHI. A large set of observables has been used and
detailed studies on jet algorithms have been performed. These measurements at
the Z peak are consistent with the results obtained at the Upsilon scale when
assuming the running of the b quark mass as predicted by perturbative QCD.Comment: 2 pages, 1 figure, presented at XXXth ICHEP, Osak