Sfermion masses in Nelson-Strassler-type models: Supersymmetric standard models coupled with superconformal field theories - art. no. 075003

We study soft supersymmetric (SUSY) breaking parameters in the Nelson-Stras sler-type models: SUSY standard models coupled with superconformal field th eories (SCFT's). In this type of model, soft SUSY breaking parameters inclu ding sfermion masses can be suppressed around the decoupling scale of SCFT' s. We clarify the condition to derive exponential suppression of sfermion m asses within the framework of pure SCFT's. Such behavior is favorable for d egeneracy of sfermion masses. However, the realistic sfermion masses are no t quite degenerate due to the gauge couplings and the gaugino masses in the standard model sector. We show the sfermion mass spectrum obtained in such models. The aspect of suppression for the soft SUSY breaking parameters is also demonstrated in an explicit model. We also give a mechanism generatin g the mu term of the electroweak scale by a singlet field coupled with the SCFT.