https://doi.org/10.1140/epjc/s10052-017-5305-8
Regular Article - Theoretical Physics
Coxeter groups and the PMNS matrix
1
Department of Theoretical Physics, Indian Association for the Cultivation of Science, Kolkata, 700 032, India
2
Saha Institute of Nuclear Physics, 1/AF Bidhan-Nagar, Calcutta, 700064, India
* e-mail: priti137@gmail.com
Received:
24
July
2017
Accepted:
14
October
2017
Published online:
2
November
2017
We discuss symmetries of the Lagrangian of the leptonic sector. We consider the case when this symmetry group is a Coxeter group, and identify the low energy residual symmetries with the involution generators, i.e., generators with order equal to 2. 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 all finite Coxeter groups with two–four generators and check which ones can produce a PMNS matrix that is consistent with experimental data. We then extend the analysis to other groups which can be presented by generators of order 2, and therefore can be seen as subgroups of infinite Coxeter groups.
© The Author(s), 2017
