Spontaneous breaking of $SO(3)$ to finite family symmetries with supersymmetry - an $A_4$ model

Abstract

We discuss the breaking of $SO(3)$ down to finite family symmetries such as $A_4$, $S_4$ and $A_5$ using supersymmetric potentials for the first time. We analyse in detail the case of supersymmetric $A_4$ and its finite subgroups $Z_3$ and $Z_2$. We then propose a supersymmetric $A_4$ model of leptons along these lines, originating from $SO(3)\times U(1)$, which leads to a phenomenologically acceptable pattern of lepton mixing and masses once subleading corrections are taken into account. We also discuss the phenomenological consequences of having a gauged $SO(3)$, leading to massive gauge bosons, and show that all domain wall problems are resolved in this model.

39 pages, 2 figures, refs added, published version

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Cited by in corpus (16)

• Flavor structures of charged fermions and massive neutrinos
• Neutrino Mass and Mixing with $A_5$ Modular Symmetry
• Modular $A_4$ Symmetry Models of Neutrinos and Charged Leptons
• Trimaximal TM${}_1$ mixing with two modular $S_4$ groups
• Multiple modular symmetries as the origin of flavour
• Twin Modular $S_4$ with $SU(5)$ GUT
• Broken Scaling Neutrino Mass Matrix and Leptogenesis based on A${}_4$ Modular invariance
• Classification of Abelian domain walls
• Collapsing domain walls beyond $Z_2$
• Common origin of ${\theta }_{13}$ and dark matter within the flavor symmetric scoto-seesaw framework
• Flavor Structures of Quarks and Leptons from Flipped SU(5) GUT with $A_4$ Modular Flavor Symmetry
• Neutrino phenomenology in the flavored NMSSM without domain wall problems
• Fully constrained mass matrix: Can symmetries alone determine the flavon vacuum alignments?
• Constraining $A_4$ Leptonic Flavour Model Parameters at Colliders and Beyond
• Novel Flavon Stabilization with Trimaximal Neutrino Mixing
• Scalar-induced Neutrinoless Double Beta Decay in $SU(5)$