Lightest Higgs boson and relic neutralino in the MSSM with CP violation

We discuss the lower bound to the lightest Higgs boson H{sub 1} in the minimal supersymmetric extension of the standard model with explicit CP violation, and the phenomenology of the lightest relic neutralino in the same scenario. In particular, adopting the CPX benchmark scenario, we find that the combination of experimental constraints coming from LEP, thallium electric dipole moment measurements, quarkonium decays, and B{sub s}{yields}{mu}{mu} decay favors a region of the parameter space where the mass of H{sub 1} is in the range 7 GeV or approx. M{sub H{sub 1/2}} whichmore » is allowed by cosmology is excluded by antiproton fluxes.« less