High energy neutrinos from neutralino annihilations in the Sun

Neutralino annihilations in the Sun to weak boson and top-quark pairs lead to high-energy neutrinos that can be detected by the IceCube and KM3 experiments in the search for neutralino dark matter. We calculate the neutrino signals from real and virtual $WW$, $ZZ$, $Zh$, and tt̄ production and decays, accounting for the spin dependences of the matrix elements, which can have important influences on the neutrino energy spectra. We take into account neutrino propagation including neutrino oscillations, matter-resonance, absorption, and ν_τ regeneration effects in the Sun and evaluate the neutrino flux at the Earth. We concentrate on the compelling focus point (FP) region of the supergravity model that reproduces the observed dark matter relic density. For the FP region, the lightest neutralino has a large bino-Higgsino mixture that leads to a high neutrino flux and the spin-dependent neutralino capture rate in the Sun is enhanced by 10³ over the spin-independent rate. For the standard estimate of neutralino captures, the muon signal rates in IceCube are identifiable over the atmospheric neutrino background for neutralino masses above MZ up to 400 GeV.