English

Solar neutrinos and grand unification

High Energy Physics - Phenomenology 2009-10-30 v2 Astrophysics

Abstract

We consider the Grand Unification (GU) scenario for neutrino masses which is based on the see-saw mechanism with the mass of the heaviest right handed (RH) neutrino at the GU-scale: M3ΛGUM_3 \sim \Lambda_{GU}, and on the quark-lepton symmetry for fermions from the third generation. The scenario predicts for the light neutrinos: m3(24)103m_3 \sim (2 - 4) \cdot 10^{-3} eV and m2(0.33)105m_2 \sim (0.3 - 3) \cdot 10^{-5} eV (in the case of a linear mass hierarchy of the RH neutrinos or/and in presence of the Planck scale suppressed non-renormalizable operators). It also predicts large νeνμ\nu_e - \nu_{\mu} mixing:  sin22θeμ>0.2~\sin^2 2\theta_{e\mu} \stackrel{_>}{_\sim} 0.2. In this scenario the solar neutrinos (ν\nu_{\odot}) undergo both the \nue \to \nutau resonance conversion in the Sun and substantial \nue \to \numu vacuum oscillations on the way from the Sun to the Earth. The interplay of both effects enlarges the range of neutrino parameters which solve the ν\nu_{\odot}-problem. In particular, νeντ\nu_e - \nu_{\tau} mixing angle can be as small as the corresponding quark mixing: sin22θeτ(2  5)104\sin^2 2\theta_{e\tau} \geq (2~-~5) \cdot 10^{-4}. The scenario predicts peculiar (oscillatory) distortion of the boron neutrino energy spectrum and seasonal variations of signals. Manifestations of these effects in the Super-Kamiokande and SNO experiments are studied.

Keywords

Cite

@article{arxiv.hep-ph/9707457,
  title  = {Solar neutrinos and grand unification},
  author = {K. S. Babu and Q. Y. Liu and A. Yu. Smirnov},
  journal= {arXiv preprint arXiv:hep-ph/9707457},
  year   = {2009}
}

Comments

36 pages, LaTeX, includes 14 figures, revised and expanded