English

Two-mixing texture for three active neutrinos

High Energy Physics - Phenomenology 2007-05-23 v1

Abstract

The conjecture that among three massive neutrinos ν1,ν2,ν3\nu_1, \nu_2, \nu_3 there is no direct mixing between ν1\nu_1 and ν3\nu_3 leads to a two-mixing texture for three active neutrinos νe,νμ,ντ\nu_e, \nu_\mu, \nu_\tau. This texture, much discussed previously, is neatly consistent with the observed deficits of solar νe\nu_e's and atmospheric νμ\nu_\mu's, but (without extra mixing with at least one sterile neutrino νs\nu_s) predicts no LSND effect for accelerator νμ\nu_\mu's. In this option, the masses m12<m22<<m32m^2_1\stackrel{<}{\sim} m^2_2 << m^2_3 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\nu_1, \nu_2, \nu_3 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.

Keywords

Cite

@article{arxiv.hep-ph/0007255,
  title  = {Two-mixing texture for three active neutrinos},
  author = {W. Krolikowski},
  journal= {arXiv preprint arXiv:hep-ph/0007255},
  year   = {2007}
}

Comments

9 pages, no figures

R2 v1 2026-07-22T13:28:10.655Z