Naturalness implications of LEP results

We analyse the fine-tuning constraints arising from absence of superpartner s at LEP, without strong universality assumptions. We show that such constr aints do not imply that charginos or neutralinos should have been seen at L EP, contrary to the usual arguments. They do however imply relatively light gluinos (m((g) over tilde) less than or similar to 350 GeV) and/or a relat ion between the soft-breaking SU(3) gaugino mass and Higgs soft mass m(Hv). The LEP limit on the Higgs mass is significant, especially at low tan beta , and we investigate to what extent this provides evidence for both a light er gluino and correlations between soft masses. (C) 1999 Elsevier Science B .V. All rights reserved.