  We study a supersymmetric extension of the SM with Higgs triplets in the
scalar sector. We begin with a review of the SM, particularly the Higgs
mechanism. In the SM, the Higgs mechanism requires the presence of a complex
Higgs doublet to break the electroweak symmetry and endow particles with a
mass; this process is called Electroweak Symmetry Breaking. Although this is
the simplest possibility, higher scalar representations may also contribute to
the EWSB. The extent to which these higher representations contribute to EWSB
is constrained by precise measurements of the $rho$ parameter. The model must
predict $\rho=1$ at tree level. It is a fortuitous circumstance that simple
doublet representations satisfy this requirement exactly. The underlying reason
is that models with doublets satisfy an accidental custodial symmetry.
Therefore, one can add any number of scalar doublets and still satisfy this
experimental constraint. For higher representations, it is a bit trickier to
maintain the custodial symmetry. We study in this work a supersymmetric model
that incorporates triplet representations and satisfies the custodial symmetry.
The non-supersymmetric Gorgi-Machacek model is one example of a custodial
invariant model of SSB with Higgs triplets. However, the GM model has a
fine-tuning problem beyond that of the SM. The solution to both issues is the
Supersymmetric Custodial Triplet Model. The supersymmetric GM model arises as a
low energy limit of the SCTM. It is this model that we study here. We make use
of public code, GMCalc and HiggsTools, to perform global fits to the parameters
of this model and obtain limits on model parameters at the $95%$ confidence
level. For these hypothetical scalars, we identify the dominant decay channels
and extract bounds on their branching ratios. We also examine the possible
presence of a 95 GeV Higgs Boson in the SGM.
