Special Issue "Flavour Problem and Family Symmetry beyond the Standard Model"

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics and Symmetry/Asymmetry".

Deadline for manuscript submissions: closed (15 July 2021) | Viewed by 1619

Special Issue Editors

Prof. Dr. Marek Zrałek
Guest Editor
Faculty of Applied Sciences, Humanitas University, ul. Kilińskiego 43, 41-200 Sosnowiec, Poland
Interests: theoretical physics; particle physics; neutrino physics

Special Issue Information

Dear Colleagues,

The Standard Model (SM), in the currently available energy range, agrees very well with the experimental results. However, generally, it is not considered as a complete theory, because it does not provide answers to many pressing questions.  Many of these unresolved problems combine with the so-called flavour problem. The SM does not completely explain why its quarks and leptons sectors are so different; it does not explain the nature of neutrinos (Dirac or Majorana), their masses and parameters of the mixing matrix. All these parameters are determined experimentally and not theoretically predicted. In general, there are three approaches to this matter. The first one derives from a theory that assumes a substructure for the fundamental fermions — the preons theory; the second is based on the grand unification theories; and the third, the family symmetries, which are sometimes also called the horizontal or flavour symmetries.

In the flavour symmetry approach, such additional symmetry between quark and lepton gauge doublets and Higgs doublets, triplets or singlets (depends on the SM extensions) should be sought for. These will give fermion mass matrices from which the determined masses, mixing angles, and the CP symmetry breaking phases are in agreement with experimental data.

Prof. Dr. Marek Zrałek
Dr. Bartosz Dziewit
Guest Editors

Manuscript Submission Information

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  • family symmetries
  • SM parameters
  • quark and lepton masses
  • CKM and PMNS mixing matrix
  • group theory applications
  • CP violation
  • Dirac and Majorana neutrinos
  • discrete symmetries

Published Papers (1 paper)

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Informationally Complete Characters for Quark and Lepton Mixings
Symmetry 2020, 12(6), 1000; https://doi.org/10.3390/sym12061000 - 11 Jun 2020
Cited by 4 | Viewed by 1338
A popular account of the mixing patterns for the three generations of quarks and leptons is through the characters κ of a finite group G. Here, we introduce a d-dimensional Hilbert space with d = c c ( G ) , [...] Read more.
A popular account of the mixing patterns for the three generations of quarks and leptons is through the characters κ of a finite group G. Here, we introduce a d-dimensional Hilbert space with d = c c ( G ) , the number of conjugacy classes of G. Groups under consideration should follow two rules, (a) the character table contains both two- and three-dimensional representations with at least one of them faithful and (b) there are minimal informationally complete measurements under the action of a d-dimensional Pauli group over the characters of these representations. Groups with small d that satisfy these rules coincide in a large part with viable ones derived so far for reproducing simultaneously the CKM (quark) and PNMS (lepton) mixing matrices. Full article
(This article belongs to the Special Issue Flavour Problem and Family Symmetry beyond the Standard Model)
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