Recent calculations have significantly decreased the scheme and residu
al scale dependence of basic radiative corrections of the Standard Ele
ctroweak Model. This leads to a theoretically accurate prediction of t
he W-boson mass M-W, as well as a reduced upper bound for the Higgs bo
son mass M-H. The implications of a precise M-W measurement on the M-H
estimate are emphasized. (C) 1998 Elsevier Science B.V.