2009/07/27 by Alfredo Aranda, J. Lorenzo Díaz-Cruz, J. Lorenzo Diaz-Cruz +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph
paper · pdf · doi:10.1103/physrevd.80.085027
published as Phys.Rev.D80:085027,2009 · 13 pages, 2 figures
arxiv created 2009/07/27 · openalex publication_date 2009/10/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the framework of supersymmetric grand unified theories, the minimal Higgs sector is often extended by introducing multidimensional Higgs representations in order to obtain realistic models. However these constructions should remain anomaly-free, which significantly constrains their structure. We review the necessary conditions for the cancellation of anomalies in general and discuss in detail the different possibilities for supersymmetric SU(5) models. Alternative anomaly-free combinations of Higgs representations, beyond the usual vectorlike choice, are identified, and it is shown that their corresponding \ensuremathβ functions are not equivalent. Although the unification of gauge couplings is not affected, the introduction of multidimensional representations leads to different scenarios for the perturbative validity of the theory up to the Planck scale.