Cobimaximal lepton mixing from soft symmetry breaking

Autor(en)

Walter Grimus, Luis Lavoura

Abstrakt

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(en)

Teilchenphysik

Externe Organisation(en)

Universidade de Lisboa

Journal

Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics

Band

774

Seiten

325-331

Anzahl der Seiten

7

ISSN

0370-2693

DOI

https://doi.org/10.1016/j.physletb.2017.09.082

Publikationsdatum

11-2017

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik, 103034 Teilchenphysik

Schlagwörter

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics

Link zum Portal

https://ucris.univie.ac.at/portal/de/publications/cobimaximal-lepton-mixing-from-soft-symmetry-breaking(97b562c7-45c7-48fe-99fc-d3d61e29bcab).html