We carry out a detailed analysis of the light Higgs bosons in supersymmetric
left-right models (SLRM). This includes models with minimal particle content
and those with additional Higgs superfields. We also consider models with
non-renormalizable higher-dimensional terms. We obtain an upper bound on the
mass of the lightest CP-even neutral Higgs boson in these models. The upper
bound depends only on the gauge couplings, and the vacuum expectation values of
those neutral Higgs fields which control the spontaneous breakdown of the
SU(2)L×U(1)Y gauge symmetry. We calculate the one-loop radiative
corrections to this upper bound, and evaluate it numerically in the minimal
version of the supersymmetric left-right model. We consider the couplings of
this lightest CP-even Higgs boson to the fermions, and show that in a
phenomenologically viable model the branching ratios are similar to the
corresponding branching ratios in the minimal supersymmetric standard model
(MSSM). We then study the most promising particle for distinguishing the SLRM
from other models, namely the doubly charged Higgs boson. We obtain the mass of
this doubly charged Higgs boson in different types of supersymmetric left-right
models, and discuss its phenomenology.Comment: 29 pages, 4 figure
