Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-10-16
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, Report at the Meeting NO-VE, Neutrino oscillations at Venice, 24-26 July 2001
Scientific paper
All existing solar and atmospheric neutrino oscillation data are described by the standard two-neutrino formulas with neutrino mass squared differences that satisfy the hierarchy relation $\Delta m^{2}_{sol} \ll \Delta m^{2}_{atm}$. We discuss this phenomenon from the point of view of three-neutrino mixing. Possibilities to see effects of three-neutrino mixing and, in particular, effects of CP-violation in the lepton sector depend on the values of $|U_{e3}|^2 $ and $\Delta m^{2}_{sol}$. We present an upper bound of $|U_{e3}|^2 $, which was obtained from a three-neutrino analysis of CHOOZ data in the case if the solar neutrino oscillation parameters lie in the LMA allowed region.
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