A non-standard CP transformation leading to maximal atmospheric neutrino mixing

Details A non-standard CP transformation leading to maximal atmospheric neutrino mixing A non-standard CP transformation leading to maximal atmospheric neutrino mixing

2003-05-28

arxiv.org/abs/hep-ph/0305309v3

Phys.Lett. B579 (2004) 113-122

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, plain LaTeX, no figures; minor modifications, final version for Phys. Lett. B

Scientific paper

We discuss a neutrino mass matrix $\mathcal{M}_\nu$ originally found by Babu, Ma, and Valle (BMV) and show that this mass matrix can be characterized by a simple algebraic relation. From this relation it follows that atmospheric neutrino mixing is exactly maximal while at the same time an arbitrary mixing angle $\theta_{13}$ of the lepton mixing matrix $U$ is allowed and--in the usual phase convention--CP violation in mixing is maximal; moreover, neither the neutrino mass spectrum nor the solar mixing angle are restricted. We put forward a simple seesaw extension of the Standard Model where the family lepton numbers are softly broken by the Majorana mass terms of the right-handed neutrino singlets and the BMV mass matrix results from a non-standard $CP$ symmetry.

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