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Towards a complete Δ(27) × SO(10) SUSY GUT

Towards a complete Δ(27) × SO(10) SUSY GUT
Towards a complete Δ(27) × SO(10) SUSY GUT
We propose a renormalizable model based on Δ(27) family symmetry with an SO(10) grand unified theory leading to a novel form of spontaneous geometrical CP violation. The symmetries, including Δ(27) and Z9×Z12×ZR4, are broken close to the grand unified theory breaking scale to yield the minimal supersymmetric standard model with the standard R parity. SO(10) is broken via SU(5) with doublet-triplet splitting achieved by a version of the Dimopoulos-Wilczek (missing vacuum expectation value) mechanism. Low-scale Yukawa structure is dictated by the coupling of matter to Δ(27) antitriplets ¯ϕ of which the vacuum expectation values are aligned in the constrained sequential dominance 3 directions by the superpotential. Light physical Majorana neutrinos masses emerge from a specific implementation of the seesaw mechanism within SO(10). The model predicts a normal neutrino mass hierarchy with the best-fit lightest neutrino mass between 0.32 and 0.38 meV, CP-violating oscillation phase δl≈(275–280)°, and the remaining neutrino parameters all within 1σ of their best-fit experimental values.
hep-ph
1550-7998
Björkeroth, Fredrik
7ad4ebf0-2444-4e86-a7bb-baf017e8eff6
Anda, Francisco J. de
dbb27610-c99c-4727-9158-5a2c155f61de
Varzielas, Ivo de Medeiros
9e2b1443-1449-4687-8d03-2f67275730c0
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Björkeroth, Fredrik
7ad4ebf0-2444-4e86-a7bb-baf017e8eff6
Anda, Francisco J. de
dbb27610-c99c-4727-9158-5a2c155f61de
Varzielas, Ivo de Medeiros
9e2b1443-1449-4687-8d03-2f67275730c0
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538

Björkeroth, Fredrik, Anda, Francisco J. de, Varzielas, Ivo de Medeiros and King, Stephen F. (2016) Towards a complete Δ(27) × SO(10) SUSY GUT. Physical Review D, 94, [016006]. (doi:10.1103/PhysRevD.94.016006).

Record type: Article

Abstract

We propose a renormalizable model based on Δ(27) family symmetry with an SO(10) grand unified theory leading to a novel form of spontaneous geometrical CP violation. The symmetries, including Δ(27) and Z9×Z12×ZR4, are broken close to the grand unified theory breaking scale to yield the minimal supersymmetric standard model with the standard R parity. SO(10) is broken via SU(5) with doublet-triplet splitting achieved by a version of the Dimopoulos-Wilczek (missing vacuum expectation value) mechanism. Low-scale Yukawa structure is dictated by the coupling of matter to Δ(27) antitriplets ¯ϕ of which the vacuum expectation values are aligned in the constrained sequential dominance 3 directions by the superpotential. Light physical Majorana neutrinos masses emerge from a specific implementation of the seesaw mechanism within SO(10). The model predicts a normal neutrino mass hierarchy with the best-fit lightest neutrino mass between 0.32 and 0.38 meV, CP-violating oscillation phase δl≈(275–280)°, and the remaining neutrino parameters all within 1σ of their best-fit experimental values.

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e-pub ahead of print date: 29 July 2016
Additional Information: 32 pages, 22 figures. v3: revised alignment and fit discussion, typos corrected
Keywords: hep-ph
Organisations: Theory Group

Identifiers

Local EPrints ID: 410381
URI: http://eprints.soton.ac.uk/id/eprint/410381
ISSN: 1550-7998
PURE UUID: 4fd7778a-f952-46c6-9ffd-1ecc233cfb35

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Date deposited: 07 Jun 2017 16:31
Last modified: 16 Dec 2019 19:01

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