Solar Neutrino Flux.

The interplay between neutrinos and charged leptons in the minimal SU(3) ×U(1) gauge model

“…(49), it can be found that the leading terms of O(δU µ,τ ) contained in m (1) ν3 turns out to vanish. The cancellation can be seen from the insertion of the leading terms of M 12,13 ≈ N 12,13 into the equation of M 12 N 13 − M 13 N 12 appearing in the numerator of m (1) ν3 in Eq. (39) that turns out to vanish.…”

“…The next nonvanishing contributions to m (1) ν3 are given by the second order terms in M 12 N 13 − M 13 N 12 that result in the third order contributions to m (1) ν3 , which is beyond our approximation because possible third order terms for δM ij (i, j=2,3), which have not been included, directly give the third order contributions as can be seen from the definition of m (1) ν3 in Eq. (33) The cancellation of the diagonalization effects on the neutrino masses of m (1) ν1,ν3 is a reasonable consequence because the (1,2) and (1,3) entries of M ν are exactly proportional to those of M (see Eqs. (63)- (65)) so that the rotation effects due to δU µ,τ , which induce δM 22 = 2m ν cos ϑ ν δU µ , δM 23 = m ν (cos ϑ ν δU µ + sin ϑ ν δU τ ), δM 33 = 2m ν sin ϑ ν δU τ , are partially cancelled.…”

“…In the recent report on the detailed analysis of solar neutrino oscillations [1][2][3] done by the Super-Kamiokande collaboration [4], it has been suggested that solutions with large mixing angles are favored while solutions with small mixing angles are disfavored at the 95% confidence level. Neutrino oscillations controlled by such large mixing angle have also been observed and confirmed for atmospheric neutrinos [5].…”

Evidence for neutrino oscillations in the Sudbury Neutrino Observatory

“…In the late 1950s it was realized that the decay of 8 B in Figure 1.1 would provide a source of high-energy neutrinos from the Sun [26] and attempts were made to estimate the flux at the Earth [26,27]. Experimenters began searching for methods of detecting these neutrinos in the 1960s.…”

What doesμ−τsymmetry imply about neutrino mixings?

“…Since the confirmation of the atmospheric neutrino oscillations in 1998 [1], neutrino oscillations have been observed in various neutrinos [2] coming from the Sun [3,4], accelerators [5] and reactors [6]. The results of the neutrino oscillations are known to be interpreted in terms of the mixings of three flavor neutrinos, ν e , ν µ and ν τ , which evolve into three massive neutrinos ν 1 , ν 2 and ν 3 during their flights.…”