  In this letter, we investigate the case of a twin peak around the observed
125 GeV scalar resonance, using di-Higgs production processes at both LHC and
$e^{+}e^{-}$ Linear Colliders. We have shown that both at LHC and Linear
Collider the triple Higgs couplings play an important role to identify this
scenario; and also that this scenario can be distinguishable from any Standard
Model extension by extra massive particles which might modify the triple Higgs
coupling. We also introduce a criterion that can be used to ruled out the twin
peak scenario.
