Radiative Electroweak Breaking with Pseudogoldstone Higgs Doublets

preprint1995arXivOpen access

Abstract

We consider a realistic example of supersymmetric grand unification based on SU(3)c×SU(3)L×SU(3)RSU(3)_c \times SU(3)_L \times SU(3)_R in which the electroweak (EW) higgs doublets are `light' as a consequence of the `pseudogoldstone' mechanism. We discuss radiative EW breaking in this model, exploring in particular the `small' (order unity) and `large' (≈mt/mb)(\approx m_t/m_b) tan⁡β\tan β regions by studying the variations of r(≡μ1,22/μ32)r (\equiv \sqrt{μ^2_{1,2}/μ^2_3}), where μ1,2,32μ^2_{1,2,3} are the well known MSSM parameters evaluated at the GUT scale. For rr sufficiently close to unity the quantity tan⁡β\tan β can be of order unity, but the converse is not always true.

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