Why is the $3\times 3$ neutrino mixing matrix almost unitary in realistic seesaw models?

Details Why is the $3\times 3$ neutrino mixing matrix almost unitary in realistic seesaw models? Why is the $3\times 3$ neutrino mixing matrix almost unitary in realistic seesaw models?

2005-12-22

arxiv.org/abs/hep-ph/0512290v1

High Energy Phys.Nucl.Phys. 30 (2006) 828-832

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTex 8 pages, no figures

Scientific paper

A simple extension of the standard model is to introduce $n$ heavy right-handed Majorana neutrinos and preserve its $\rm SU(2)^{}_L \times U(1)^{}_Y$ gauge symmetry. Diagonalizing the $(3+n) \times (3+n)$ neutrino mass matrix, we obtain an exact analytical expression for the effective mass matrix of $\nu^{}_e$, $\nu^{}_\mu$ and $\nu^{}_\tau$. It turns out that the $3\times 3$ neutrino mixing matrix $V$, which appears in the leptonic charged-current weak interactions, must not be exactly unitary. The unitarity violation of $V$ is negligibly tiny, however, if the canonical seesaw mechanism works to reproduce the correct mass scale of light Majorana neutrinos. A similar conclusion can be drawn in the realistic Type-II seesaw models.

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