A Global $\chi^{2}$ Analysis of Electroweak Data in SO(10) SUSY GUTs

We present the details of a global $\chi^2$ analysis of electroweak data, including fermion masses and mixing angles, in SO(10) SUSY GUTs. Just as precision electroweak data is used to test the Standard Model, the well determined Standard Model parameters are the precision electroweak data for testing theories beyond the Standard Model. In this paper we use the latest experimentally measured values for these parameters. We study several models discussed in the literature. One of these models provides an excellent fit to the low energy data with $\chi^2 \sim 1$ for 3 degrees of freedom. We present graphs of constant $\chi^2$ contours as functions of position in soft SUSY breaking parameter space, as well as our predictions for a few selected points in parameter space. We also study the sensitivity of our results to changes in various parameters. Finally, we discuss the consequences of our work in the context of a general MSSM analysis at the Z scale.