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We investigate the extended Higgs sectors, specially the charged Higgs sectorin a supersymmetric $Y=0$ $SU(2)$ triplet and a Standard Model (SM) gaugesinglet extension of SM. We show that in this model the allowed data for theHiggs boson interaction eigenstates tend to group into separate blocks for$SU(2)$ triplet, doublet and singlet. The triplet sector has two degeneratepaired states, each pair composed of a mostly-triplet charged Higgs and of amostly-triplet scalar or pseudoscalar state. The mostly-doublet sector involvesa Standard Model like Higgs of 125 GeV and extra mass-degenerate states,composed of a charged, a scalar and a pseudoscalar. The CP-odd component of thesinglet scalar, after supersymmetry breaking, takes the role of apseudo-Nambu-Goldstone mode in the $Z_3$ symmetric case, while the CP-even onebecomes decoupled. In a second part of our study we investigate the differentdecay processes allowed to a charged Higgs boson of this model. Specifically,we search for general signatures of the TNMSSM in order to distinguish amongHiggs fields belonging to $SU(2)$ doublet, triplet and singlet representationsat the LHC. We also propose few golden plated final state modes carrying thedistinctive signatures of this model which could be investigated in collidersearches. We also show how in the decoupling limit of the triplet ($|\lambda_T|\simeq 0$) affects the decays as well as the production channels at the LHC.

General Analysis of the Charged Higgs Sector of the $Y=0$ Triplet-Singlet Extension of the MSSM at the LHC