Geometric Mean Neutrino Mass Relation

Details Geometric Mean Neutrino Mass Relation Geometric Mean Neutrino Mass Relation

2007-02-13

arxiv.org/abs/hep-ph/0702133v2

Mod.Phys.Lett.A22:2107-2112,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages. Talk given at COSPA06. A reference added

Scientific paper

10.1142/S0217732307025352

Present experimental data from neutrino oscillations have provided much information about the neutrino mixing angles. Since neutrino oscillations only determine the mass squared differences $\Delta m^2_{ij} = m^2_i - m^2_j$, the absolute values for neutrino masses $m_i$ can not be determined using data just from oscillations. In this work we study implications on neutrino masses from a geometric mean mass relation $m_2=\sqrt{m_1 m_3}$ which enables one to determined the absolute masses of the neutrinos. We find that the central values of the three neutrino masses and their $2\sigma$ errors to be $m_1 = (1.58\pm 0.18){meV}$, $m_2 = (9.04\pm 0.42){meV}$, and $m_3 = (51.8\pm 3.5){meV}$. Implications for cosmological observation, beta decay and neutrinoless double beta decays are discussed.

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