Hierarchy from Baryogenesis

Abstract

We study a recently proposed mechanism to solve the hierarchy problem in the context of the landscape, where the solution of the hierarchy problem is connected to the requirement of having baryons in our universe via Electroweak Baryogenesis. The phase transition is triggered by the fermion condensation of a new gauge sector which becomes strong at a scale Lambda determined by dimensional transmutation, and it is mediated to the standard model by a new singlet field. In a ``friendly'' neighborhood of the landscape, where only the relevant operators are ``scanned'' among the vacua, baryogenesis is effective only if the higgs mass m_h is comparable to this low scale Lambda, forcing m_h to be of order Lambda, and solving the hierarchy problem. A new CP violating phase is needed coupling the new singlet and the higgs field to new matter fields. We study the constraints on this model given by baryogenesis and by the electron electric dipole moment (EDM), and we briefly comment on gauge coupling unification and on dark matter relic abundance. We find that next generation experiments on the EDM will be sensitive to essentially the entire viable region of the parameter space, so that absence of a signal would effectively rule out the model.

28 pages, 4 figures. v2: Added comments and references. Corrected one typo in eq.(81). Conclusions unaltered

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