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Why is TeV-scale a geometric mean of neutrino mass and GUT-scale?
Among three typical energy scales, a neutrino mass scale ( 0.1
eV), a GUT scale ( GeV), and a TeV-scale (
TeV), there is a fascinating relation of . The TeV-scale, , is a new physics scale beyond the standard
model which is regarded as supersymmetry in this letter. We suggest a simple
supersymmetric neutrinophilic Higgs doublet model, which realizes the above
relation dynamically as well as the suitable through a tiny vacuum
expectation value of neutrinophilic Higgs without additional scales other than
and . A gauge coupling unification, which is an excellent
feature in the supersymmetric standard model, is preserved automatically in
this setup.Comment: 7 page