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

Abstract

Among three typical energy scales, a neutrino mass scale ($m_{\nu }\sim$ 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 $M_{NP}\simeq \sqrt{m_{\nu }\cdot M_{GUT}}$. 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 $m_{\nu }$ 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.

7 pages

References in corpus (6)

• A New Two Higgs Doublet Model
• LHC phenomenology of a two-Higgs-doublet neutrino mass model
• $\nu$-Two Higgs Doublet Model and its Collider Phenomenology
• Comment on astrophysical consequences of a neutrinophilic 2HDM
• Low scale thermal leptogenesis in neutrinophilic Higgs doublet models
• TeV-scale seesaw from a multi-Higgs model

Cited by in corpus (3)

• Precise predictions for Dirac neutrino mixing
• Phenomenology of SUSY SU(5) GUT with neutrinophilic Higgs
• Resonant leptogenesis with mild degeneracy