The discrete family symmetries as the possible solution to the flavour problem
- 21 Downloads
In order to explain the fermions’ masses and mixing parameters appearing in the lepton sector of the Standard Model, one proposes the extension of its symmetry. A discrete, non-Abelian subgroup of U(3) is added to the gauge group SU(3) C × SU(2) L × U(1) Y . Apart from that, one assumes the existence of one extra Higgs doublet. This article focuses mainly on the mathematical theorems and computational techniques which brought us to the results.
Unable to display preview. Download preview PDF.
- 3.F. G. Canales, A. Mondragón, M. Mondragón, et al., J. Phys.: Conf. Ser. 447, 012053 (2013).Google Scholar
- 5.P. O. Ludl, PhD Thesis (Vienna Univ., 2009).Google Scholar
- 6.The GAP Group. GAP: Groups, Algorithms, and Programming Version 4.8.4 (2016).Google Scholar
- 8.V. Dabbaghian, REPSN: a GAP4 Package for Constructing Representations of Finite Groups Version 3.0.2. (2011).Google Scholar