"Seesawing" away the hierarchy problem

Abstract

We describe a model for the scalar sector where all interactions occur either at an ultra-high scale LU ~ 1016 - 1019 GeV or at an intermediate scale LI=109 - 1011 GeV. The interaction of physics on these two scales results in an SU(2) Higgs condensate at the electroweak (EW) scale, LEW, through a seesaw-like Higgs mechanism, LEW ~ (LI)2/LU, while the breaking of the SM SU(2)XU(1) gauge symmetry occurs at the intermediate scale LI. The EW scale is, therefore, not fundamental but is naturally generated in terms of ultra-high energy phenomena and so the hierarchy problem is alleviated. We show that our ``seesaw-Higgs'' model predicts the existence of sub-eV neutrino masses which are generated through a ``two-step'' seesaw mechanism in terms of the same two ultra-high scales: mnu ~ (LI)4/(LU)3 ~ (LEW)2/LU. We also show that our seesaw Higgs model can be naturally embedded in theories with tiny extra dimensions of size R ~ 1/LU ~ 10-16 fm, where the seesaw induced EW scale arises from a violation of a symmetry at a distant brane if there are 7 tiny extra dimensions.

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