Neutralino mass bounds at the upgraded LEP collider

Assuming that no supersymmetric signature will be found at the upgraded LEP collider we derive lower bounds on the masses of the four neutralinos consider the recently published results from the search for the light chargino LEP1.5 and study the consequences of possible future lower $\tilde{\chi}^\pm_1$ and $\tilde{\chi}^0_2$ mass limits between 65 and 95 GeV. For a chargino mass bound of 66.7 GeV at LEP1.5, a massless neutralino is not excluded for $m_{\tilde{g}} > 160$ GeV, we find $m_{\tilde{\chi}_1^0} > 28$ GeV. A possible chargino bound $m_{\tilde{\chi}_1^\pm} > 95$ GeV at LEP2 would raise this bound to 31 GeV (for all $\tan\beta$) or 44 GeV ($\tan\beta > 2$)