Flavour symmetries in a renormalizable SO (10) model

Ferreira, P. M.; Grimus, Walter; Jurčiukonis, Darius; Lavoura, L.

doi:10.1016/j.nuclphysb.2016.03.011

Cited by 16 publications

(37 citation statements)

References 65 publications

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“…Symmetries external to SO(10) have also been applied in the context of renormalizable SUSY SO(10) with some success in explaining the fermion spectrum. See for example Ref [44][45][46][47][48]…”

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confidence: 99%

Yukawa sector of minimal SO(10) unification

Babu

Bajc

Saad

2017

J. High Energ. Phys.

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We show that in SO(10) models, a Yukawa sector consisting of a real 10 H , a real 120 H and a complex 126 H of Higgs fields can provide a realistic fit to all fermion masses and mixings, including the neutrino sector. Although the group theory of SO(10) demands that the 10 H and 120 H be real, most constructions complexify these fields and impose symmetries exterior to SO(10) to achieve predictivity. The proposed new framework with real 10 H and real 120 H relies only on SO(10) gauge symmetry, and yet has a limited number of Yukawa parameters. Our analysis shows that while there are restrictions on the observables, a good fit to the entire fermion spectrum can be realized. Unification of gauge couplings is achieved with an intermediate scale Pati-Salam gauge symmetry. Proton decay branching ratios are calculable, with the leading decay modes being p → νπ + and p → e + π 0 .

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confidence: 99%

Yukawa sector of minimal SO(10) unification

Babu

Bajc

Saad

2017

J. High Energ. Phys.

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“…In the present and further flavoured GUTs can be found in . More recently, a generalised approach to flavour symmetries in SO(10) is considered in [81,82].…”

Section: The Modelmentioning

confidence: 99%

A natural S 4 × SO(10) model of flavour

Björkeroth

Anda

King

et al. 2017

J. High Energ. Phys.

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We propose a natural S 4 × SO(10) supersymmetric grand unified theory of flavour with an auxiliary Z 2 4 × Z R 4 symmetry, based on small Higgs representations (nothing larger than an adjoint) and hence a type-I seesaw mechanism. The Yukawa structure of all fermions is determined by the hierarchical vacuum expectation values of three S 4 triplet flavons, with CSD3 vacuum alignments, where up-type quarks and neutrinos couple to one Higgs 10, and the down-type quarks and charged leptons couple to a second Higgs 10. The Yukawa matrices are obtained from sums of low-rank matrices, where each matrix in the sum naturally accounts for the mass of a particular family, as in sequential dominance in the neutrino sector, which predicts a normal neutrino mass hierarchy. The model accurately fits all available quark and lepton data, with predictions for the leptonic CP phase in 95% credible intervals given by 281 • < δ < 308 • and 225 • < δ < 253 • . The model reduces to the MSSM, with the two Higgs doublets emerging from the two Higgs 10s without mixing, and we demonstrate how a µ term of O(TeV) can be realised, as well as doublettriplet splitting, with Planck scale operators controlled by symmetry, leading to acceptable proton decay.

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“…However, adding a 120-plet leads to a proliferation of parameters in the Yukawa couplings; one might want to restrict the number of parameters in order to obtain potentially predictive scenarios [2].…”

Section: The Modelmentioning

confidence: 99%

“…13 cases are generated by Z n symmetries (with a suitable n), and one case is generated by the Z 2 × Z 2 symmetry [2]. …”

Section: Pos(ichep2016)1187mentioning

confidence: 99%