Limits on SUSY particle spectra from proton stability and dark matter constraints

Jan, 1998
13 pages
Published in:
  • Phys.Lett.B 437 (1998) 344-350
e-Print:

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Abstract:
It is shown that the combined constraints on the amount of cold dark matter and of proton stability produce a stringent upper limit on the gluino mass mg~m_{\tilde g} (and hence on the lightest neutralino mass mχ10mg~/7m_{\chi_1^0}\simeq m_{\tilde g}/7) for a large class of gravity mediated supergravity unified models. One finds that for the minimal SU(5) model current data (Kamiokande) restricts mg~400m_{\tilde g}\leq 400 GeV for a scalar soft breaking mass m01m_0\leq 1 TeV. Expected future data from Super Kamionkande and ICARUS will be sensitive to the entire range of gluino mass for m01m_0\leq 1 TeV, and be able to exclude the region mg~500m_{\tilde g}\geq 500 GeV for m05m_0\leq 5 TeV. Effects of quark mass textures are studied and one finds that the bound mg~500m_{\tilde g}\leq 500 GeV holds when the experimental proton lifetime for the pνˉK+p\to \bar \nu K^+ mode becomes 5×1032\geq 5\times 10^{32} yr.Implications of these results for a test of these models at the Tevatron and at the LHC are discussed. The effects of non-universal soft breaking in the Higgs and the third generation squark sectors are also examined, and it is found that the proton lifetime is sensitive to these non-universal effects. The current data already eliminates some regions of non-universalities. The constraints of proton stability on the direct detection of dark matter are seen to reduce the maximum event rates by as much as a factor of 10310^3.
Note:
  • 13 pages including 5 figures
  • supersymmetry
  • supergravity
  • grand unified theory: SU(5)
  • sparticle: mass
  • p: lifetime
  • p: semileptonic decay
  • dark matter
  • mass: gluino
  • Higgs particle: mass
  • mass: LSP