Absolute values of three neutrino masses from atmospheric mixing and an ansatz for the mixing-matrix elements

Abstract

Using data from atmospheric neutrino mixing, and a simple functional form for mixing angles, the absolute values of three neutrino masses are calculated: $m_3\cong 5.37\times 10^{-2}eV$, $m_2\cong 1.94\times 10^{-2}eV$, $m_1\cong 1.46\times 10^{-2}eV$. The quantities relevant for solar neutrino mixing are calculated: $(m_2^2-m_1^2)\cong 1.63\times 10^{-4}e{V}^2$, with non-maximal mixing $\tan^2θ_\sol \cong 0.56$. The analysis gives a suggestion of a dynamical origin for the empirical, large CP-violating phase associated with an intrinsically, very small mixing angle in the quark sector.

5 pages, no figures. Version to be published in Europhysics Letters

References in corpus (2)

• Constraining neutrino oscillation parameters with current solar and atmospheric data
• Combining first KamLAND results with solar neutrino data

Cited by in corpus (3)

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• A vertex-structure model for new direct CP-violating effects in Bbar^0(B^0) -> phi K_S and in B^-+ -> pi^-+ eta' (eta)