Supersymmetric dark matter and Yukawa unification

An analysis of supersymmetric dark matter under the Yukawa unification constraint is given. The analysis utilizes the recently discovered region of the parameter space of models with gaugino mass nonuniversalities where large negative supersymmetric corrections to the b quark mass appear to allow

b-\tau

unification for a positive

\mu

sign consistent with the

b\to s+\gamma

and

g_{\mu}-2

constraints. In the present analysis we use the revised theoretical determination of

a_{\mu}^{SM}

(

a_{\mu}= (g_{\mu}-2)/2

) in computing the difference

a_{\mu}^{exp}-a_{\mu}^{SM}

which takes account of a reevaluation of the light by light contribution which has a positive sign. The analysis shows that the region of the parameter space with nonuniversalities of the gaugino masses which allows for unification of Yukawa couplings also contains regions which allow satisfaction of the relic density constraint. Specifically we find that the lightest neutralino mass consistent with the relic density constraint,

b\tau

unification for SU(5) and

b-t-\tau

unification for SO(10) in addition to other constraints lies in the region below 80 GeV. An analysis of the maximum and the minimum neutralino-proton scalar cross section for the allowed parameter space including the effect of a new determination of the pion-nucleon sigma term is also given. It is found that the full parameter space for this class of models can be explored in the next generation of proposed dark matter detectors.

Note:

28 pages,nLatex including 5 figs. TIFR/TH/01-49, NUB-TH/3225

12.60.Jv
95.35.+d
dark matter
supersymmetry
coupling: Yukawa
coupling: (quark tau)
bottom
quark: radiative decay
muon: magnetic moment
gaugino: mass

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