Two-mixing texture for three active neutrinos

2000/07/24 by W. Krolikowski, Krolikowski, W.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0007255

9 pages, no figures

arxiv created 2000/07/24 · arxiv updated 2009/11/30

Abstract

The conjecture that among three massive neutrinos ν₁, ν₂, ν₃ there is no direct mixing between ν₁ and ν₃ leads to a two-mixing texture for three active neutrinos ν_e, ν_μ, ν_τ. This texture, much discussed previously, is neatly consistent with the observed deficits of solar ν_e's and atmospheric ν_μ's, but (without extra mixing with at least one sterile neutrino ν_s) predicts no LSND effect for accelerator ν_μ's. In this option, the masses m²₁\stackrel<∼ m²₂ << m²₃ are readily estimated. The characteristic feature of the two-mixing neutrino texture that \it only the close neighbours in the hierarchy of massive neutrinos ν₁, ν₂, ν₃ mix significantly may be physically meaningful. Going out from the notion of mixing matrix we construct an intrinsic occupation-number operator whose \it eigenvalues 0, 1, 2 \it numerate the three generations of massive neutrinos. Analogical constructions work also for charged leptons as well as for up and down quarks.

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