Cobimaximal lepton mixing from soft symmetry breaking
- Author(s)
- Walter Grimus, Luis Lavoura
- Abstract
Cobimaximal lepton mixing, i.e. θ23=45° and δ=±90° in the lepton mixing matrix V, arises as a consequence of SV=V⁎P, where S is the permutation matrix that interchanges the second and third rows of V and P is a diagonal matrix of phase factors. We prove that any such V may be written in the form V=URP, where U is any predefined unitary matrix satisfying SU=U⁎, R is an orthogonal, i.e. real, matrix, and P is a diagonal matrix satisfying P2=P. Using this theorem, we demonstrate the equivalence of two ways of constructing models for cobimaximal mixing—one way that uses a standard CP symmetry and a different way that uses a CP symmetry including μ–τ interchange. We also present two simple seesaw models to illustrate this equivalence; those models have, in addition to the CP symmetry, flavour symmetries broken softly by the Majorana mass terms of the right-handed neutrino singlets. Since each of the two models needs four scalar doublets, we investigate how to accommodate the Standard Model Higgs particle in them.
- Organisation(s)
- Particle Physics
- External organisation(s)
- Universidade de Lisboa
- Journal
- Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics
- Volume
- 774
- Pages
- 325-331
- No. of pages
- 7
- ISSN
- 0370-2693
- DOI
- https://doi.org/10.1016/j.physletb.2017.09.082
- Publication date
- 11-2017
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103012 High energy physics, 103034 Particle physics
- Keywords
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/cobimaximal-lepton-mixing-from-soft-symmetry-breaking(97b562c7-45c7-48fe-99fc-d3d61e29bcab).html