Towards the minimal renormalizable supersymmetric $E_6$ model

Abstract

We find an explicit renormalizable supersymmetric $E_6$ model with all the ingredients for being realistic. It consists of the Higgs sector $351^{\prime }+\overline{351^{\prime }}+27+\overline{27}$, which breaks $E_6$ directly to the Standard Model gauge group. Three copies of $27$ dimensional representations then describe the matter sector, while an extra $27+\overline{27}$ pair is needed to successfully split the Standard Model Higgs doublet from the heavy Higgs triplet. We perform the analysis of the vacuum structure and the Yukawa sector of this model, as well as compute contributions to proton decay. Also, we show why some other simpler $E_6$ models fail to be realistic at the renormalizable level.

36 pages, a new section on proton decay added, new reference, results unchanged. To be published in JHEP

References in corpus (6)

• Missing Partner Mechanism in SO(10) Grand Unification
• Generation Symmetry and E_6 Unification
• Gauge boson families in grand unified theories of fermion masses: E_6^4 x S_4
• Realistic Fermion Masses and Nucleon Decay Rates in SUSY SU(5) with Vector-Like Matter
• Metastable gauged O'Raifeartaigh
• Minimal Flipped SO(10) x U(1) Supersymmetric Higgs Model

Cited by in corpus (8)

• Asymptotically Safe Grand Unification
• Quasi Yukawa Unification and Fine-Tuning in U(1) Extended SSM
• Masses of Third Family Vector-like Quarks and Leptons in Yukawa-Unified $E_6$
• Trinification from ${\mathrm{E}}_6$ symmetry breaking
• Model Characterization and Dark Matter in the Secluded $U(1{)}^{\prime }$ Model
• A Minimal Supersymmetric ${\mathrm{E}}_6$ Unified Theory
• A Stronger Case for Superunification Post Higgs Boson Discovery
• Phenomenological Analysis of an ${\mathrm{E}}_6$-inspired Seesaw Model