Minimal E6 supersymmetric standard model

We propose a Minimal E6 Supersymmetric Standard Model (ME6SSM) which allows Planck scale unification, provides a solution to the μ problem and predicts a new Z'. Above the conventional GUT scale MGUT ∼ 1016 GeV the gauge group corresponds to a left-right symmetric Supersymmetric Pati-Salam model, together with an additional U(1)ψ gauge group arising from an E6 gauge group broken near the Planck scale. Below MGUT the ME6SSM contains three reducible 27 representations of the Standard Model gauge group together with an additional U(1)X gauge group, consisting of a novel and non-trivial linear combination of U(1)ψ and two Pati-Salam generators, which is broken at the TeV scale by the same singlet which also generates the effective μ term, resulting in a new low energy Z' gauge boson. We discuss the phenomenology of the new Z' gauge boson in some detail