Constraints on Supergravity in the Light Gluino Scenario

Abstract

Minimal $N=1$ supergravity with a radiatively broken electroweak symmetry group is studied in the light gluino scenario. Constraints from the $b\rightarrow s\gamma$ decay and from the masses of the light CP-even neutral Higgs $m_h$, the lightest chargino $m_{\chi^{\pm}_1}$, and the second lightest neutralino $m_{\chi^0_2}$ are analyzed. We consider models in which the relation $A=B+m_0$ holds. We plot the allowed region in the $\tan\beta-\mu$ plane consistent with chargino/neutralino searches, and an upper bound on $\tan\beta$ given by 1.82 (1.85) for $\mu>0$ ($\mu<0$) is found. We analize the consistency of this upper bound with experimental constraints on the lightest Higgs mass. We find that a gluino with a mass of a few GeV is incompatible with this kind of models.