Anomalies, Beta Functions and Supersymmetric Unification with Multi-Dimensional Higgs Representations

Understand

In the framework of supersymmetric Grand Unified Theories, the minimal Higgs sector is often extended by introducing multi-dimensional Higgs representations in order to obtain realistic models.

• However these constructions should remain anomaly-free, which constraints significantly their structure.
• We review the necessary conditions for the cancellation of anomalies in general and discuss in detail the different possibilities for SUSY SU(5) models.
• Alternative anomaly free combinations of Higgs representations, beyond the usual vector-like choice, are identified, and it is shown that their corresponding beta functions are not equivalent.