  A noncommutative(NC) version for a global $O(N)$ scalar field theory is
proposed and an alternative investigation about how noncommutative drives
spontaneous symmetry breaking (SSB) is explored. Indeed, we show that the
noncommutativity plays an important role in such mechanism, i.e., it is
possible to show that there is a Higgs group with no more than two Higgs
bosons. In this scenario, we establish two mutually exclusive options: one
Higgs boson with mass at 125 GeV and other at 750 GeV -- 2 TeV excess does not
imply a 2 TeV mass resonance -- or two Higgs bosons with mass-degenerate near
125~GeV, where 2 TeV and 750 GeV excesses do not imply a 2 TeV and 750 GeV
masses resonance.
