1.Institute of Physics, University of Silesia,Katowice,Poland;2.Faculty of Mathematics and Natural Studies Cardinal Stefan Wyszyński University in Warsaw,Warszawa,Poland
Abstract:
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.