Classification of lepton mixing matrices from finite residual symmetries

Autor(en)

Renato M. Fonseca, Walter Grimus

Abstrakt

Assuming that neutrinos are Majorana particles, we perform a complete classification of all possible mixing matrices which are fully determined by residual symmetries in the charged-lepton and neutrino mass matrices. The classification is based on the assumption that the residual symmetries originate from a finite flavour symmetry group. The mathematical tools which allow us to accomplish this classification are theorems on sums of roots of unity. We find 17 sporadic cases plus one infinite series of mixing matrices associated with three-flavour mixing, all of which have already been discussed in the literature. Only the infinite series contains mixing matrices which are compatible with the data at the 3 sigma level.

Organisation(en)

Teilchenphysik

Externe Organisation(en)

Universitat de València

Journal

Journal of High Energy Physics

Band

2014

Seiten

1-54

Anzahl der Seiten

54

ISSN

1029-8479

DOI

https://doi.org/10.1007/JHEP09(2014)033

Publikationsdatum

2014

Peer-reviewed

Ja

ÖFOS 2012

103034 Teilchenphysik

Schlagwörter

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics

Link zum Portal

https://ucris.univie.ac.at/portal/de/publications/classification-of-lepton-mixing-matrices-from-finite-residual-symmetries(2906dc76-732d-4485-87bc-098d87d72a41).html