Proton decay and cosmology strongly constrain the minimal SU(5) supergravity model

Physics – High Energy Physics

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Decays Of Baryons

Scientific paper

We present the results of an extensive exploration of the five-dimensional parameter space of the minimal SU(5) supergravity model, including the constraints of a long enough proton lifetime and a small enough neutralino cosmological relic density. We find that the combined effect of these two constraints is never quite severe, although still leaving a small region of parameter space with mg~,g~<1 TeV. The allowed values of the proton lifetime should be fully explored by the SuperKamiokande experiment. The proton lifetime cut also entails the following mass correlations and bounds: mh<~100 GeV, mx~=1/2 mx02~=0.15mg, mχ02~= mχ+1 , and mχ<85(115) GeV, mχ02,χ+1<165(225) GeV for α3=0.113(0.120). Finally, the combined proton decay and cosmology constraints predict that if mh>~75(80) GeV then mχ+1<~90(110) GeV for α3=0.113(0.120). Thus, if this model is correct, at least one of these particles will likely be observed at LEPII.

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