Family Symmetries and Multi Higgs Doublet Models
1
August Chełkowski Institute of Physics, University of Silesia in Katowice, ul. 75 Pułku Piechoty 1, 41-500 Chorzów, Poland
2
SGH Warsaw School of Economics, Collegium of Economic Analysis, ul. Madalińskiego 6/8, 02-513 Warsaw, Poland
3
Faculty of Applied Sciences, Humanitas University, ul. Kilińskiego 43, 41-200 Sosnowiec, Poland
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(1), 156; https://doi.org/10.3390/sym12010156 (registering DOI)
Received: 30 November 2019 / Revised: 3 January 2020 / Accepted: 9 January 2020 / Published: 12 January 2020
(This article belongs to the Special Issue Selected Papers from 43rd International Conference of Theoretical Physics: Matter to the Deepest, Recent Developments In Physics Of Fundamental Interactions (MTTD2019))
Imposing a family symmetry on the Standard Model in order to reduce the number of its free parameters, due to the Schur’s Lemma, requires an explicit breaking of this symmetry. To avoid the need for this symmetry to break, additional Higgs doublets can be introduced. In such an extension of the Standard Model, we investigate family symmetries of the Yukawa Lagrangian. We find that adding a second Higgs doublet (2HDM) does not help, at least for finite subgroups of the group up to the order of 1025.
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Keywords:
lepton masses and mixing; family symmetry
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MDPI and ACS Style
Dziewit, B.; Holeczek, J.; Zając, S.; Zrałek, M. Family Symmetries and Multi Higgs Doublet Models. Symmetry 2020, 12, 156.
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