English

Zeros in the magic neutrino mass matrix

High Energy Physics - Phenomenology 2020-12-29 v3

Abstract

We study the phenomenological implications of the presence of two zeros in a magic neutrino mass matrix. We find that only two such patterns of the neutrino mass matrix are experimentally acceptable. We express all the neutrino observables as functions of one unknown phase ϕ\phi and two known parameters Δm122\Delta m^{2}_{12}, r=Δm122/Δm232r=\Delta m^{2}_{12}/\Delta m^{2}_{23}. In particular, we find sin2θ13=(2/3)r/(1+r)\sin^2 \theta_{13}=(2/3)r/(1+r). We also present a mass model for the allowed textures based upon the group A4A_{4} using type I+II see-saw mechanism.

Keywords

Cite

@article{arxiv.1607.08328,
  title  = {Zeros in the magic neutrino mass matrix},
  author = {Radha Raman Gautam and Sanjeev Kumar},
  journal= {arXiv preprint arXiv:1607.08328},
  year   = {2020}
}

Comments

9 pages, 3 figures, minor changes as reported in Erratum: Zeros in the magic neutrino mass matrix [Phys. Rev. D 94, 036004 (2016)] (some typographical errors in two equations and a table corrected, results and conclusions unaffected)

R2 v1 2026-06-22T15:06:18.436Z