Physics of Atomic Nuclei

, Volume 80, Issue 4, pp 747–751 | Cite as

The discrete family symmetries as the possible solution to the flavour problem

  • B. DziewitEmail author
  • J. Holeczek
  • M. Richter
  • S. Zajac
  • M. Zralek
Elementary Particles and Fields Theory


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.


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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  • B. Dziewit
    • 1
    Email author
  • J. Holeczek
    • 1
  • M. Richter
    • 1
  • S. Zajac
    • 2
  • M. Zralek
    • 1
  1. 1.Institute of Physics, University of SilesiaKatowicePoland
  2. 2.Faculty of Mathematics and Natural Studies Cardinal Stefan Wyszyński University in WarsawWarszawaPoland

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