Results from the Cryogenic Dark Matter Search at Soudan Underground Laboratory

We present results from the Cryogenic Dark Matter Search at Soudan Underground Laboratory for two-tower arrays of detector. Twelve detectors were operated from March 25 to August 8, 2004, or 74.5 detector live days.Within expected background, no statistically significant indication of a WIMP signal was observed. Based on this null observation and combined with our previous results, we exclude a spin-averaged WIMP-nucleon interaction cross section above 1.6 x 10{sup -43} cm{sup 2} for Ge detectors, and 3 x 10{sup -42} cm{sup 2} for Si detectors, for a WIMP mass 60GeV/c{sup 2} with 90%C.L. This result constrains parameter space of minimal supersymmetric standard models (MSSM) and starts to reach the parameter space of a constrained model (CMSSM)