CERN LEP indications for two light Higgs bosons and theU(1)′model

Reanalyses of LEP data have shown preference to two light $CP$-even Higgs bosons. We discuss implications of such a Higgs boson spectrum for the minimal supersymmetric model extended by a standard model singlet chiral superfield and an additional Abelian gauge invariance [the $\mathrm{U}(1{)}^{\prime }$ model]. We, in particular, determine parameter regions that lead to two light $CP$-even Higgs bosons while satisfying existing bounds on the mass and mixings of the extra vector boson. In these parameter regions, the pseudoscalar Higgs is found to be nearly degenerate in mass with either the lightest or next-to-lightest Higgs boson. Certain parameters of the $\mathrm{U}(1{)}^{\prime }$ model such as the effective $\mu$ parameter are found to be significantly bounded by the LEP two light Higgs signal.