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arXiv · 1107.4823

Why is TeV-scale a geometric mean of neutrino mass and GUT-scale?

Naoyuki Haba
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Abstract

Among three typical energy scales, a neutrino mass scale ($m_ν\sim$ 0.1 eV), a GUT scale ($M_{GUT}\sim 10^{16}$ GeV), and a TeV-scale ($M_{NP}\sim 1$ TeV), there is a fascinating relation of $M_{NP}\simeq \sqrt{m_ν\cdot M_{GUT}}$. The TeV-scale, $M_{NP}$, 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 $m_ν$ through a tiny vacuum expectation value of neutrinophilic Higgs without additional scales other than $M_{NP}$ and $M_{GUT}$. A gauge coupling unification, which is an excellent feature in the supersymmetric standard model, is preserved automatically in this setup.

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Naoyuki Haba. 2011-08-26. Why is TeV-scale a geometric mean of neutrino mass and GUT-scale?. https://doi.org/10.1209/0295-5075%2F96%2F21001

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