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Coxeter groups and the PMNS matrix
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DOI：10.1140/epjc/s10052-017-5305-8.png)
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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.
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4.8
论文数:
1.8W
被引数:
4.7W
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