  The two-loop Higgs mass upper bounds are reanalyzed. Previous results for a
cutoff scale $\Lambda\approx$ few TeV are found to be too stringent. For
$\Lambda=10^{19}$ GeV we find $M_H < 180 \pm 4\pm 5$ GeV, the first error
indicating the theoretical uncertainty, the second error reflecting the
experimental uncertainty due to $ m_t = 175 \pm 6 $ GeV. We also summarize the
lower bounds on $M_H$. We find that a SM Higgs mass in the range of 160 to 170
GeV will certainly allow for a perturbative and well-behaved SM up to the
Planck-mass scale $\Lambda_{Pl}\simeq 10^{19}$ GeV, with no need for new
physics to set in below this scale.
