Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-05-02
Phys.Lett.B652:331-337,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
Minor corrections. 12 pages, 2 figures
Scientific paper
10.1016/j.physletb.2007.07.035
We show how gauge coupling unification near the Planck scale $M_P\sim 10^{19}$ GeV can be achieved in the framework of supersymmetry, facilitating a full unification of all forces with gravity. Below the conventional GUT scale $M_{GUT}\sim 10^{16}$ GeV physics is described by a Supersymmetric Standard Model whose particle content is that of three complete $\mathbf{27}$ representations of the gauge group $E_6$. Above the conventional GUT scale the gauge group corresponds to a left-right symmetric Supersymmetric Pati-Salam model, which may be regarded as a ``surrogate SUSY GUT'' with all the nice features of SO(10) but without proton decay or doublet-triplet splitting problems. At the TeV scale the extra exotic states may be discovered at the LHC, providing an observable footprint of an underlying $E_6$ gauge group broken at the Planck scale. Assuming an additional low energy $U(1)_X$ gauge group, identified as a non-trivial combination of diagonal $E_6$ generators, the $\mu$ problem of the MSSM can be resolved.
Howl R.
King Stephen F.
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