Proton Decay and Cosmology Strongly Constrain the Minimal SU(5) Supergravity Model

Details Proton Decay and Cosmology Strongly Constrain the Minimal SU(5) Supergravity Model Proton Decay and Cosmology Strongly Constrain the Minimal SU(5) Supergravity Model

1992-09-07

arxiv.org/abs/hep-ph/9209220v1

Phys.Rev.D47:2468-2473,1993

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages plus 5 figures (not included). CERN-TH.6628/92, CTP-TAMU-61/92. A condensed version of this paper will appear in the

Scientific paper

10.1103/PhysRevD.47.2468

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 ($\tau_p>1\times10^{32}\y$) and a small enough neutralino cosmological relic density ($\Omega_\chi h^2_0\le1$). We find that the combined effect of these two constraints is quite severe, although still leaving a small region of parameter space with $m_{\tilde g,\tilde q}<1\TeV$. The allowed values of the proton lifetime extend up to $\tau_p\approx1\times10^{33}\y$ and should be fully explored by the SuperKamiokande experiment. The proton lifetime cut also entails the following mass correlations and bounds: $m_h\lsim100\GeV$, $m_\chi\approx{1\over2}m_{\chi^0_2}\approx0.15\gluino$, $m_{\chi^0_2}\approx m_{\chi^+_1}$, and $m_\chi<85\,(115)\GeV$, $m_{\chi^0_2,\chi^+_1}<165\,(225)\GeV$ for $\alpha_3=0.113\,(0.120)$. Finally, the {\it combined} proton decay and cosmology constraints predict that if $m_h\gsim75\,(80)\GeV$ then $m_{\chi^+_1}\lsim90\,(110)\GeV$ for $\alpha_3=0.113\,(0.120)$. Thus, if this model is correct, at least one of these particles will likely be observed at LEPII.

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