Minimal eclectic flavor group Q 8 ⋊ S 3 and neutrino mixing

Autor: Cai-Chang Li, Jun-Nan Lu, Gui-Jun Ding
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 12, Pp 1-40 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP12(2024)015
Popis: Abstract We perform a comprehensive analysis of the minimal eclectic flavor group Q 8 ⋊ S 3 which is isomorphic to GL(2, 3), and all its irreducible representations are induced from the irreducible representations of Q 8 and S 3. The consistency conditions between EFG and generalized CP (gCP) symmetry are revisited, and we find the gCP symmetry compatible with the minimal EFG Q 8 ⋊ S 3. The most general forms of Kähler potential and superpotential based on Q 8 ⋊ S 3 are discussed, and the corresponding fermion mass matrices are presented. A concrete lepton model invariant under Q 8 ⋊ S 3 and gCP is constructed, in which the experimental data of all six lepton masses and six mixing parameters can be successfully described through seven real input parameters. The model predicts a vanishing effective mass m ββ in neutrinoless double beta decay.
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