Out-going muon flux from neutralino annihilation in the Sun and the earth in supergravity unification

Predictions for the out-going muon fluxes from the annihilation of neutrali nos in the center of the sun and the earth in mSUGRA models are given. Effe cts of uncertainties of the input data on the local wimp density and on the rms wimp velocity are analyzed. It is shown that the out-going muon flux m easurements from the sun and the earth are complementary, with the earth pr oviding a larger flux for low values of fine tuning and the Sun providing a larger flux for high values of fine-tuning. It is further shown that a com bination of the out-going muon flux measurements from both the earth and th e sun can compete favorably with the direct detection measurements. The mSU GRA predictions are compared with the recent limits from BAIKAL NT-96, MACR O, and BAKSAN.