We present semi-analytical solutions of the supersymmetric non-universal masses models for low $tanbeta$ regime. In addition to this, scale and $tanbeta$ dependencies of the soft (mass)$^2$ terms are given in the form of numerical solutions. By using the constrained form of the semi-analtic results, particular attention is paid on the non-universality assumption of the Higgs mass values and their potential measurable effects on the mass spectra of the minimal supersymmetric standard model. It is observed that, certain measurables are almost insensitive to the initial mass choices of the Higgs fields, like the mass of the light $mathcal{CP}$-even Higgs boson. On the other hand, large deviations exist on the mass of the remaining physical Higgs bosons signal that the allowed parameter space of the model can be probed successfully. For this aim, in addition to the other physical Higgs bosons, imprints originating from the heavier chargino ($tilde chi^pm_2$), heavy neutralinos ($tilde chi^0_3$, $tilde chi^0_4$) and the light scalar tau ($tilde tau_1$) are necessary and found to be promising.
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