Fermion masses and mixing angles from SU(3) family symmetry

King, Stephen F.; Ross, Graham G.

doi:10.1016/s0370-2693(01)01139-x

Cited by 197 publications

(242 citation statements)

References 28 publications

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“…Therefore the limit close to 10 − 3 on Λ is robust, just as stated in the literature. 9 In summary, the solution to the anomaly cancellation problem with X µ = 4 becomes somewhat marginal, X µ = 5 (Λ = O(3000 TeV) being more comfortable. But both are very close to be tested in rare process experiments perhaps before the new heavy particles could even be searched for at the LHC!…”

Section: Jhep03(2011)128mentioning

confidence: 99%

Exotic particles below the TeV from low scale flavour theories

Savoy

Thormeier

2011

J. High Energ. Phys.

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A flavour gauge theory is observable only if the symmetry is broken at relatively low energies. The intrinsic parity-violation of the fermion representations in a flavour theory describing quark, lepton and higgsino masses and mixings generically requires anomaly cancellation by new fermions. Benchmark supersymmetric flavour models are built and studied to argue that: i) the flavour symmetry breaking should be about three orders of magnitude above the higgsino mass, enough also to efficiently suppress FCNC and CP violation coming from higher-dimensional operators; ii) new fermions with exotic decays into lighter particles are often predicted around the TeV region.

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Section: Jhep03(2011)128mentioning

confidence: 99%

Exotic particles below the TeV from low scale flavour theories

Savoy

Thormeier

2011

J. High Energ. Phys.

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“…(13). This equation represents the most general parameterization of the Yukawa matrices for quarks and charged leptons with an SU(3) FS [2,3]. In any supersymmetric FS, the flavon fields also couple to the sfermions through the trilinear terms…”

Section: Fermion Masses and Mfv Conditionsmentioning

confidence: 99%

“…Note that for this case the trilinear couplings (∼ z f ij ǫ p f ) will not be exactly aligned with the Yukawa couplings but will still be proportional to them and effectively we are taking 3,3) and z f 33 = c f 33 .…”

Section: Form Of the Yukawa Matrices And Soft Termsmentioning

confidence: 99%

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Constraints on supersymmetric flavour models fromb→sγ

Olive

Velasco-Sevilla

2008

J. High Energy Phys.

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We consider the effects of departures from minimal flavour violations (MFV) in the context of CMSSM-like theories. Second and third generation off-diagonal elements in the Yukawa, sfermion, and trilinear mass matrices are taken to be non-zero at the GUT scale.These are run down together with MSSM parameters to the electroweak scale. We apply constraints from fermion masses and CKM matrix elements to limit the range of the new free parameters of the model. We determine the effect of the departure from MFV on the branching ratio of b → s γ. We find that only when the expansion parameter in the down-squark sector is relatively large there is a noticeable effect, which tends to relax the lower limit from b → s γ on the universal gaugino mass. We also find that the expansion parameter associated with the slepton sector needs to be smaller than the corresponding parameter in the down-squark sector in order to be compliant with the bound imposed by the branching ratio of τ → µγ.

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“…At the first glance, the hierarchical mass spectra of the quarks and the charged leptons actually suggest underlying non-Abelian flavor symmetry groups acting on the first and second generations only. 4 However, in the light of recent atmospheric [5][6][7][8][9] and solar [10][11][12][13][14][15][16][17] neutrino experimental results, it seems to be difficult to extend this idea to the neutrinos. Especially, the result that, among the different possible solutions of the solar neutrino problem, the Mikheyev-Smirnov-Wolfenstein (MSW) [18][19][20] large mixing angle (LMA) solution is the presently preferred one [21][22][23] 5 , draws a picture of the involved flavor symmetries and their breaking mechanisms that differs remarkably from the early approaches, which have been applied to the quark sector.…”

Section: Introductionmentioning

confidence: 99%

A flavor symmetry model for bilarge leptonic mixing and the lepton masses

Ohlsson

Seidl

2002

Nuclear Physics B

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We present a model for leptonic mixing and the lepton masses based on flavor symmetries and higher-dimensional mass operators. The model predicts bilarge leptonic mixing (i.e., the mixing angles θ 12 and θ 23 are large and the mixing angle θ 13 is small) and an inverted hierarchical neutrino mass spectrum. Furthermore, it approximately yields the experimental hierarchical mass spectrum of the charged leptons. The obtained values for the leptonic mixing parameters and the neutrino mass squared differences are all in agreement with atmospheric neutrino data, the Mikheyev-Smirnov-Wolfenstein large mixing angle solution of the solar neutrino problem, and consistent with the upper bound on the reactor mixing angle. Thus, we have a large, but not close to maximal, solar mixing angle θ 12 , a nearly maximal atmospheric mixing angle θ 23 , and a small reactor mixing angle θ 13 . In addition, the model predicts θ 12 ≃ π 4 − θ 13 .

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Fermion masses and mixing angles from SU(3) family symmetry

Cited by 197 publications

References 28 publications

Exotic particles below the TeV from low scale flavour theories

Exotic particles below the TeV from low scale flavour theories

Constraints on supersymmetric flavour models fromb→sγ

A flavor symmetry model for bilarge leptonic mixing and the lepton masses

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