Charged Higgs boson phenomenology in supersymmetric models with Higgs triplets

We present a detailed study of the Higgs sector within an extension of the minimal supersymmetric standard model that includes one complex Higgs triplet (MSSM+1CHT). The model spectrum includes three singly charged Higgs bosons as well as three CP-even (or scalar) and two CP-odd (or pseudoscalar) neutral Higgs bosons. We present an approximated calculation of the one-loop radiative corrections to the neutral CP-even Higgs masses (m(Hi)(0)) and the couplings H(i)(0)Z(0)Z(0) (i=1, 2, 3), which determine the magnitude of the Higgs-strahlung processes e(+)e(-)-> Z(0)H(i)(0). Limits from LEP2 are then considered, in order to obtain bounds on the neutral Higgs sector. Further, we also include the experimental limits from LEP2 on e(+)e(-)-> H+H- and those on BR(t -> bH(+)) from Tevatron, to derive bounds on the mass of the two lightest charged Higgs bosons (H-1(+/-) and H-2(+/-)). Concerning the latter, we find some cases, where m(H1)(+/-)similar or equal to 90 GeV, that are not excluded by any experimental bound, even for large values of tan beta, so that they should be looked for at the Large Hadron Collider (LHC).