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E6 GUT through Effects of Dimension-5 Operators

2017/05/03 by Chao-Shang Huang, Wen-Jun Li, Huang, Chao-Shang +4
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.1705.01411

20 pages, 10 tables, 8 figures, journal accepted version

openalex publication_date 2017/05/03 · arxiv created 2017/11/08 · arxiv updated 2017/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the effective field theory framework, quantum gravity can induce effective dimension-5 operators, which have important impacts on grand unified theories. Interestingly, one of main effects is the modification of the usual gauge coupling unification condition. We investigate the gauge coupling unification in E6 under modified gauge coupling unification condition at scales MX in the presence of one or more dimension-5 operators. It is shown that nonsupersymmetric models of E6 unification can be obtained and can easily satisfy the constraints from the proton lifetime. For constructing these models, we consider several maximal subgroups H=SO(10)× U(1), H=SU(3)× SU(3)× SU(3), and H=SU(2)× SU(6) of E6 and the usual breaking chains for a specific maximal subgroup, and derive all of the Clebsch-Gordan coefficients Φ(r)s,z associated with E6 breaking to the Standard Model, which are given in Appendix A.

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