Coxeter groups and the PMNS matrix
High Energy Physics - Phenomenology
2017-12-06 v4
Abstract
We discuss the symmetries of the Lagrangian of the leptonic sector. We consider the case when this symmetry group is a Coxeter group. The number of elements of the PMNS matrix predicted by this group structure would depend on the number of generators of this group. We analyze finite Coxeter groups with 2 to 4 generators and even finite subgroups of infinite Coxeter groups with 4 generators and show which of them can give results that are consistent with experimental data.
Cite
@article{arxiv.1601.08063,
title = {Coxeter groups and the PMNS matrix},
author = {Pritibhajan Byakti and Palash B. Pal},
journal= {arXiv preprint arXiv:1601.08063},
year = {2017}
}
Comments
31 pages, 1 figure and 4 table, minor changes. Matches with publish version