  We show that in the Higgs triplet model, after the Higgs discovery, the
mixing angle in the CP-even sector can be strongly constrained from unitarity.
We also discuss how large quantum effects in $h\to\gamma\gamma$ may arise in a
SM-like scenario and a certain part of the parameter space can be ruled out
from the diphoton signal strength. Using $T$-parameter and diphoton signal
strength measurements, we update the bounds on the nonstandard scalar masses.
