Particle Physics Booklet - Particle Data Group - Lawrence Berkeley ...

198 13. Neutrino mixing
Figure 13.10: The regions of squared-mass splitting and mixing
angle favored or excluded by various experiments. The figure was
contributed by H. Murayama (University of California, Berkeley, and
IPMU, University of Tokyo).
averaging over the region of neutrino production in the Sun. The νe
undergo transitions into (νμ + ντ )/ √ 2. As a consequence of the effects
of the solar matter, the solar νe transitions observed by the Super-
Kamiokande and SNO experiments exhibit a characteristic dependence
on sin 2 θ12: P 3ν
⊙ (νe → νe) ∼ = |Ue3| 4 +(1−|Ue3| 2 ) 2 sin 2 θ12. The data
show that P 3ν
⊙ ∼ = 0.3, which is a strong evidence for solar matter
effects in the transitions [85] since in the case of transitions in vacuum
P 3ν
⊙ ∼ = |Ue3| 4 +(1−|Ue3| 2 ) 2 (1 − 0.5sin 2 2θ12) � 0.48,whereweusedthe
experimental limits |Ue3| 2 < 0.056 and sin 2 2θ12 � 0.93.
IV. The evidence for flavour neutrino oscillations. The evidence
for flavour neutrino oscillations/transitions is compelling. We discuss the
relevant data in the full edition. The regions of the oscillation parameter
space favored or excluded by various neutrino oscillation experiments are
shown in Fig. 13.10.