Simple $E_6$ Unification with Anomalous $U(1)_A$ Symmetry

Details Simple $E_6$ Unification with Anomalous $U(1)_A$ Symmetry Simple $E_6$ Unification with Anomalous $U(1)_A$ Symmetry

2003-03-25

arxiv.org/abs/hep-ph/0303207v1

Prog.Theor.Phys. 110 (2003) 93-105

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages

Scientific paper

10.1143/PTP.110.93

We propose simpler Higgs sectors in $E_6$ grand unified theory with anomalous $U(1)_A$ gauge symmetry than the previous model in Ref.1). As in the previous model, the doublet-triplet splitting can be realized in a natural way, while proton decay via dimension 5 operators is suppressed and gauge coupling unification is also realized without fine-tuning. Combining the matter sector, simple complete GUTs can be obtained. Since the Higgs sector is simpler, the gauge coupling constant at the cutoff scale can be in perturbative region, and therefore, the estimated value of the lifetime of a nucleon in this model, $\tau_p(p\to e^+\pi^0)\sim 5\times 10^{33}$ years, becomes more reliable.

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