Radiative symmetry breaking in minimal $N=1$ supergravity with large Yukawa couplings

We systematically study the radiative breaking of the electroweak gauge symmetry in minimal N = 1 supergravity models with a heavy top quark, m t ≥ 90 GeV, emphasizing the case of large tan β for which the Yukawa couplings for bottom and tau play an important role. We found that three differnt solutions fore tan β can exist for fixed values of m t and the soft supersymmetry breaking parameters. Two of these solutions have large tan β and lead to a large mass splitting and mixing for all third-generation sfermions, as well as a light Higgs spectrum, giving rise to rich phenomenological consequences. The reduced masses of the light b̃- and t̃-eigenstates lead to large enhancements of gluino branching ratios into b- and t-quarks, which can easily be the dominant gluino decay modes. We also show that combinations of soft breaking parameters that lead to unacceptably large neutralo relic densities for small |tan β| are cosmologically safe if there is a light ∼τ or a light pseudoscalar Higgs boson; both of these particles can be arbitrarily light for solutions with large |tan β|.

supergravity
electroweak interaction
coupling: Yukawa
Yukawa: coupling
top
bottom
symmetry breaking
radiative correction
particle: spectrum
spectrum: particle

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