Anomalies, Beta Functions, and SGUT's with Higher-Dimensional Higgs Representations.

The minimal Higgs sectors of Supersymmetric Grand Unified Theories (SGUT's) can be extended by introducing higher dimensional (anomaly free) representations. We have found models ith different anomaly free combinations of SU(5) representations which are different in terms or their β functions. It is also interesting to consider the RGE effect associated with the Yukawa coupling that involve the additional Higgs representations. In order to do this we shall consider the 2-loop β functions for the gauge coupling, but will keep only the 1-loop RGE for the new Yukawa couplings, in a SU(5) SGUT model. [ABSTRACT FROM AUTHOR]