  Indirect searches for the cosmological dark matter have become ever more
competitive during the past years. Here, we report the first full calculation
of leading electroweak corrections to the annihilation rate of supersymmetric
neutralino dark matter. We find that these corrections can be huge, partially
due to contributions that have been overlooked so far. Our results imply a
significantly enhanced discovery potential of this well motivated dark matter
candidate with current and upcoming cosmic ray experiments, in particular for
gamma rays and models with somewhat small annihilation rates at tree level.
