  We present a new dataset analysis of the neutrino experiment at the Baksan
Underground Scintillator Telescope with muon energy threshold about 1 GeV for
the longest exposure time toward the Sun. In search for a signal from
self-annihilations of dark matter particles in the center of the Sun we use an
updated sample of upward through-going muons for 24.12 years of live time. No
observable excess has been found in measured muons relative to expected
background from neutrinos of atmospheric origin. We present an improved data
analysis procedure and describe it in detail. We set the 90\% C.L. new upper
limits on expected neutrino and muon fluxes from dark matter annihilations in
the Sun, on the corresponding annihilation rates and cross sections of their
elastic scattering off proton.
