Implications of Neutrino Data circa 2005

Adopting the 3 neutrino framework, we present an updated determination of the oscillation parameters. We perform a global analysis and develop simple arguments that give essentially the same result. We also discuss determinations of solar neutrino fluxes, capabilities of future experiments, tests of CPT, implications for neutrino-less double-β decay, β decay, cosmology. Oscillation parameter central value 99% CL range solar mass splitting ∆m12 = (8.0 ± 0.3) 10 −5eV (7.2 ÷ 8.9) 10−5eV atmospheric mass splitting |∆m23| = (2.5± 0.3) 10 eV (1.7 ÷ 3.3) 10eV solar mixing angle tan θ12 = 0.45 ± 0.05 30 ◦ < θ12 < 38 ◦ atmospheric mixing angle sin 2θ23 = 1.02 ± 0.04 36 ◦ < θ23 < 54 ◦ ‘CHOOZ’ mixing angle sin 2θ13 = 0± 0.05 θ13 < 10 ◦ non-oscillation probed experimental 99% CL range 99% CL range parameter by limit at 99% CL normal hierarchy inverted hierarchy ee-entry of m 0ν2β mee < 0.38h eV (1.1 ÷ 4.5)meV (12÷ 57)meV (mm) 1/2 ee β-decay mνe < 2.0 eV (4.6÷ 10)meV (42÷ 57)meV m1 +m2 +m3 cosmology mcosmo < 0.94 eV (51 ÷ 66)meV (83 ÷ 114)meV Table 1: Summary of present information on neutrino masses and mixings from oscillation data (upper rows) and inferences and limits on non-oscillation probes (lower rows) A 99% C.L. range is a 2.58σ range. Some 0ν2β data are controversial, and h ∼ 1 parameterizes uncertain nuclear matrix elements. 10 10 10 10 ∆ m in eV 0 2 4 6 8 10 12 14 ∆χ 2 Neutrino masses