Europhys. Lett.
Volume 63, Number 4, August 2003
Page(s) 519 - 523
Section The physics of elementary particles and fields
Published online 01 November 2003
DOI: 10.1209/epl/i2003-00463-3
Europhys. Lett., 63 (4) , pp. 519-523 (2003)

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

S. Barshay and G. Kreyerhoff

III. Physikalisches Institut, RWTH Aachen - D-52056 Aachen, Germany

(Received 15 April 2003; accepted 12 June 2003)

Using data from atmospheric-neutrino mixing, and a simple functional form for mixing angles, the absolute values of three neutrino masses are calculated: $m_3\cong 5.37\times
10^{-2}$ $\un{eV}$, $m_2= (1.37\tx{--}1.94)\times 10^{-2}$ $\un{eV}$, $m_1 = (1.03\tx{--}1.46)\times 10^{-2}$ $\un{eV}$. The quantities relevant for solar-neutrino mixing are calculated: $(m_2^2-m_1^2)
= (0.8\tx{--}1.63)\times 10^{-4}$ $\un{eV^2}$, with non-maximal mixing $\tan^{2}\theta_{\ab{sol}} \cong 0.56$. 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.

14.60.Pq - Neutrino mass and mixing.
12.15.Ff - Quark and lepton masses and mixing.

© EDP Sciences 2003