A Minimal Supersymmetric $\mathrm{E}_6$ Unified Theory
Abstract
We show explicitly that supersymmetric Grand Unified Theory with a Higgs sector consisting of fields provides a realistic scenario for symmetry breaking and fermion mass generation. While gauge symmetry breaking can be achieved without the field, its presence is critical for a successful doublet-triplet mass splitting. The Yukawa sector of the model consists of only two symmetric matrices describing all of quark, lepton and neutrino masses and mixings. The fermion mass matrices are computed at low energy and a fit to the second and third generation masses and mixings is performed. We find a good numerical fit to the low-energy data. Thus, this model, having superpotential parameters, alongside the two symmetric Yukawa matrices, seems to be the best realistic candidate for a minimal renormalizable supersymmetric unified theory.
Cite
@article{arxiv.1504.00904,
title = {A Minimal Supersymmetric $\mathrm{E}_6$ Unified Theory},
author = {K. S. Babu and Borut Bajc and Vasja Susič},
journal= {arXiv preprint arXiv:1504.00904},
year = {2015}
}
Comments
35 pages. Accepted for publication; minor comments added, extended discussion in Appendix D, references updated, conclusions unchanged