On building superpotentials in F-GUTs

Saidi, El Hassan

doi:10.1093/ptep/ptv183

Cited by 4 publications

(2 citation statements)

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“…We begin by noticing that it is quite commonly admitted that the family symmetry relating flavors belonging to different generations of the SM might be behind the neutrino mass hierarchy and their mixing. This hypothetical flavor symmetry Γ is a discrete invariance that has been the subject of several studies, and particular interest has been focused on those Γ's given by non-Abelian discrete symmetries [16,31]. In this study, we consider the interesting case where flavor symmetry is given by A 4 × A 3 ; and describe how this discrete symmetry can be implemented in models around the supersymmetric scale M 2 SU SY where the discrete Γ's are expected to follow from more basic symmetries such as the breaking of E 8 gauge invariance of heterotic string or F-theory GUTs on Calabi-Yau manifolds [32][33][34].…”

Section: Flavor Symmetry In Supersymmetric Modelsmentioning

confidence: 99%

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Type II seesaw supersymmetric neutrino model forθ13≠0

2016

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Using the type II seesaw approach and properties of discrete flavor symmetry group representations, we build a supersymmetric A 4 × A 3 neutrino model with θ 13 = 0.After describing the basis of this model-which is beyond the minimal supersymmetric Standard Model-with a superfield spectrum containing flavons in A 4 × A 3 representations, we first generate the tribimaximal neutrino mixing which is known to be in agreement with the mixing angles θ 12 and θ 23 . Then, we give the scalar potential of the theory where the A 3 discrete subsymmetry is used to avoid the so-called sequestering problem. We next study the deviation from the tribimaximal mixing matrix which is produced by perturbing the neutrino mass matrix with a nontrivial A 4 singlet. Normal and inverted mass hierarchies are discussed numerically. We also study the breaking of A 4 down to Z 3 in the charged lepton sector, and use the branching ratio of the decay τ → µµe-which is allowed by the residual symmetry Z 3 -to get estimations on the mass of one of the flavons and the cutoff scale Λ of the model.

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Section: Flavor Symmetry In Supersymmetric Modelsmentioning

confidence: 99%

“…where ω = e with the usual feature 1 + ω +ω = 0 andω = ω 2 . These irreducible representations obey the following tensor product algebra [16,31]:…”

Section: )mentioning

confidence: 99%

Type II seesaw supersymmetric neutrino model forθ13≠0

2016

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MSSM-like from SU 5 × D 4 models

2016

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Using finite discrete group characters and symmetry breaking by hyperflux as well as constraints on top-quark family, we study minimal low energy effective theory following from SU 5 × D 4 models embedded in F-theory with non abelian flux. Matter curves spectrum of the models is obtained from SU 5 × S 5 theory with monodromy S 5 by performing two breakings; first from symmetric group S 5 to S 4 subsymmetry; and next to dihedral D 4 subgroup. As a consequence, and depending on the ways of decomposing triplets of S 4 , we end with three types of D 4 -models. Explicit constructions of these theories are given and a MSSM-like spectrum is derived.

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