A novel mathematical construct for the family of leptonic mixing patterns
Mar 29, 2017Citations per year
Abstract: (arXiv)
In order to induce a family of mixing patterns of leptons which accommodate the experimental data with a simple mathematical construct, we construct a novel object from the hybrid of two elements of a finite group with a parameter . This construct is an element of a mathematical structure called group-algebra. It could reduce to a generator of a cyclic group if is a rational number. We discuss a specific example on the base of the group . This example shows that infinite cyclic groups could give the viable mixing patterns for Dirac neutrinos.Note:
- 9 pages, 2 figures, 1 table
- group: finite
- lepton: mixing
- lepton: family
- quantum mechanics
- hybrid
- S(4)
References(0)
Figures(4)
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