Theoretical implications of the possible observation of a Higgs boson with a
mass of about 115 GeV at LEP are discussed. Within the Standard Model a Higgs
boson in this mass range agrees well with the indirect constraints from
electroweak precision data. However, it would nevertheless point towards
physics beyond the Standard Model, in particular to Supersymmetric extensions.
The interpretation of the LEP excess as production of the light or the heavy
CP-even Higgs boson is discussed within the unconstrained MSSM and the mSUGRA,
GMSB and AMSB scenarios. Prospects for Higgs physics at future colliders are
briefly summarized.Comment: 11 pages, Contribution to the proceedings of the XXXVIth Rencontres
de Moriond, Les Arcs, March 200
