Influence of Light and Heavy Thresholds on SUSY Unification

In this paper we study and compare susy unification using two different approaches in order to take into account the effect of light particle thresholds on the evolution of gauge couplings: the step--function approximation, on the one hand, and a mass dependent procedure, which gives a more accurate description of the dependence of the results on the masses, on the other. We also include the effect of heavy thresholds, when $SU(5)$ is chosen as the unifying group. We find that the mass--dependent procedure excludes scenarios where all susy masses are below $1\;TeV$, and favors a value of $\alpha_3(m_Z)$ near its upper experimental bound, contrary to the results obtained with the step--function approximation. We underline the dependence of the results on the procedure chosen to deal with light thresholds.