Narrow Results

Due to flavor transition mechanisms in neutrino propagations, both neutrino oscillation and decay, neutrinos flavor ratio at astrophysical sources can quite different from observed ratios on the Earth.¹ We use the recent global fitting result of the mixing angle values² to determine the allowed neutrino flavor ratios on the Earth for standard neutrino oscillation and general decay mechanisms. In this analysis, four types of the neutrino decay mechanisms can be distinguished from the oscillation case easily with arbitrary initial neutrino flavor ratio and the other four types of neutrino decay mechanisms can be distinguished from the oscillation case with the specified source. The rest types of neutrino decays strongly overlap with the oscillation and cannot be identified.

The inclusion of elastic rescattering and annihilation of quark–antiquarks pairs in final state can explain the $t$-dependency for cross-section ratio of $\eta$ and ${\eta }^{\prime }$ mesons in charge exchange reaction. The estimation for mixing angle $\eta -{\eta }^{\prime }$ with isoscalar states $ūu+\bar{d}d$ and hidden strangeness $\bar{s}s$ has been obtained. The consistent description of $\eta$ and ${\eta }^{\prime }$ meson outputs in $B^0$, $B_s^0$ and $J/\psi$ decays was also considered.

The purpose of this paper is both to provide mathematical reinforcements to the paper [Mecozzi and Bellini, Superluminal group velocity of neutrinos, arXiv: 1110.1253 [hep-ph]] by taking decoherence into consideration and to present some important related problems.

We claim that neutrinos have superluminality as a latent possibility.

In the neutrino propagation mechanisms, both neutrino oscillation and decay mechanisms, the actual neutrinos flavor ratio at astrophysical sources can be quite different from observed ratios on Earth.¹ We introduce the recent global fitting result of the mixing angle values² into the analysis to point out the allowed neutrino avor ratios on Earth for standard neutrino oscillation and general decay mechanisms. In this analysis, four types of the neutrino decay mechanisms can be separated from the oscillation case easily with arbitary initial neutrino avor ratio and the other four types of neutrino decay mechanisms can be identified from the oscillation case with the specified source. The rest types of neutrino decays strongly overlape with the oscillation and cannot be identified.