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Invisible Decays of the Supersymmetric Higgs and Dark Matter

Abstract

We discuss effects of the light sparticles on decays of the lightest Higgs in a supersymmetric model with nonuniversal gaugino masses at the high scale, focusing on the `invisible' decays into neutralinos. These can impact significanlty the discovery possibilities of the lightest Higgs at the LHC. We show that due to these decays, there exist regions of the M2μM_2-\mu space where the B.R. (hγγ)(h \to \gamma \gamma) becomes dangerously low even after imposing the LEP constraints on the sparticle masses, implying a possible preclusion of its discovery in the γγ\gamma \gamma channel. We find that there exist regions in the parameter space with acceptable relic density and where the ratio B.R.(hγγ)SUSYB.R.(hγγ)SM{B.R. (h \to \gamma \gamma)_{SUSY} \over B.R. (h \to \gamma \gamma)_{SM}} falls below 0.6, implying loss of signal in the γγ\gamma \gamma channel. These regions correspond to χ~1+,χ~20\tilde \chi_1^+, \tilde \chi_2^0 masses which should be accessible already at the Tevatron. Further we find that considerations of relic density put lower limit on the U(1) gaugino mass parameter M1M_1 independently of μ,tanβ\mu, \tan \beta and m0m_0.Comment: 17 pages, 11 figures, Talk presented at Appi2002, Accelerator and Particle Physics Institute, Appi, Iwate, Japan, February 13--16 200

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