Family Symmetries and Multi Higgs Doublet Models

Dziewit, Bartosz; Holeczek, J.; Zajac, S.; Zrałek, M.

doi:10.3390/sym12010156

Cited by 3 publications

(4 citation statements)

References 12 publications

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“…Explicit flavor symmetry breaking can be avoided in the presence of Higgs fields that transform under G. Two-Higgs doublet models [15] are obvious candidates to investigate that principle. In [16] and [17] non-Abelian groups have been identified providing lepton masses and a mixing matrix, but these were not in agreement with experiment. Although the implied lepton masses of the model were found nondegenerate, the implied mixing matrices appeared to be always monomial.…”

mentioning

confidence: 71%

Lepton masses and mixing in a three-Higgs doublet model

Vergeest¹,

Zrałek²,

Dziewit³

et al. 2022

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In the three-Higgs doublet model (3HDM) frame, we search for discrete flavour symmetries that give relations among the lepton masses and their mixing angles. We explore discreet non-Abelian groups of order less than 1035, treating neutrinos as Majorana or Dirac particles. Unlike the Standard Model, the 3HDM does not require the flavor symmetry to be broken. Despite the four free dynamic parameters available in the model, none of the groups fully predicts the lepton data. However, some of the scanned groups provide either the correct neutrino masses and mixing angles or the correct masses of the charged leptons. ∆( 96) is the smallest group compatible with the experimental data of neutrino masses and PMNS mixing. S4 is an approximate symmetry of Dirac neutrino mixing, with parameters staying about 3σ apart from the measured θ12, θ23, θ13 and δCP .

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mentioning

confidence: 71%

Lepton masses and mixing in a three-Higgs doublet model

Vergeest¹,

Zrałek²,

Dziewit³

et al. 2022

Preprint

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“…In case A = χ 4 and B = χ 4 it is found that A ⊗ B = (9, −6, 0, 3, −6). For H = χ 4 it follows from Equation (19) 4 ) is a candidate character triplet to define a symmetry of the charged-lepton mass term. One more triplet, (A, B, H) = (χ 4 , χ 4 , χ 5 ) appears viable too.…”

Section: Methods To Find Relations Among the Lepton Mass And Mixing P...mentioning

confidence: 99%

“…The aforementioned explicit flavor symmetry breakdown in the Yukawa sector can be avoided in the presence of Higgs fields (causing spontaneous symmetry breaking) that transform under G. Two-Higgs doublet models (2HDM) [17] are obvious candidates to investigate that principle. In [18,19] non-Abelian groups that have two-and threedimensional irreducible representations have been investigated. The lepton masses and the angles of the mixing matrix resulting from the assumed discrete symmetry were found, but the agreement with the experimental data was not satisfactory.…”

Section: Introductionmentioning

confidence: 99%

A Method to Explore Flavor Symmetries of the 3HDM and Their Implications on Lepton Masses and Mixing

et al. 2022

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We present a method to identify symmetry groups of the Yukawa sector of the three-Higgs-doublet model and to determine the implication that the symmetry has on the lepton masses and mixing. The method can accommodate different hypotheses about the group representation assignments, and thus support the exploration of candidate symmetry groups. For one particular representation selection scheme we apply the computer-implemented method to scan all discrete groups of order less than 1035. It can be proven that none of these groups defines a flavor symmetry that implies masses and neutrino mixing angles consistent with the experimental lepton data, although several cases are found that are partially or approximately consistent.

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“…The aforementioned explicit flavor symmetry breakdown in the Yukawa sector can be avoided in the presence of Higgs fields (causing spontaneous symmetry breaking) that transform under G. Two-Higgs doublet models (2HDM) [17] are obvious candidates to investigate that principle. In [18] and [19] non-Abelian groups that have two-and three-dimensional irreducible representations have been investigated. The lepton masses and the angles of the mixing matrix resulting from the assumed discrete symmetry were found, but the agreement with the experimental data was not satisfactory.…”

Section: Introductionmentioning

confidence: 99%

A method to explore flavor symmetries of the 3HDM and their implications on lepton masses and mixing

Dziewit¹,

Zrałek²,

Vergeest³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

We present a method to identify symmetry groups of the Yukawa sector of the three-Higgsdoublet model and to determine the implication that the symmetry has on the lepton masses and mixing. The method can accommodate different hypotheses about the group representation assignments, and thus support the exploration of candidate symmetry groups. For one particular representation selection scheme we apply the computer-implemented method to scan all discrete groups of order less than 1035. It can be proven that none of these groups defines a flavor symmetry that implies masses and neutrino mixing angles consistent with the experimental lepton data, although several cases are found that are partially or approximately consistent.

show abstract

Family Symmetries and Multi Higgs Doublet Models

Cited by 3 publications

References 12 publications

Lepton masses and mixing in a three-Higgs doublet model

Lepton masses and mixing in a three-Higgs doublet model

A Method to Explore Flavor Symmetries of the 3HDM and Their Implications on Lepton Masses and Mixing

A method to explore flavor symmetries of the 3HDM and their implications on lepton masses and mixing

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