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Towards a complete A4 × SU(5) SUSY GUT

Towards a complete A4 × SU(5) SUSY GUT
Towards a complete A4 × SU(5) SUSY GUT
We propose a renormalisable model based on A4 family symmetry with an SU(5) grand unified theory (GUT) which leads to the minimal supersymmetric standard model (MSSM) with a ℤ9 × ℤ6 symmetry provides the fermion mass hierarchy in both the quark and lepton sectors, while ℤ4R symmetry is broken to ℤ2R, identified as usual R-parity. Proton decay is highly sup-pressed by these symmetries. The strong CP problem is solved in a similar way to the Nelson-Barr mechanism. We discuss both the A4 and SU(5) symmetry breaking sectors, including doublet-triplet splitting, Higgs mixing and the origin of the μ term. The model provides an excellent fit (better than one sigma) to all quark and lepton (including neu-trino) masses and mixing with spontaneous CP violation. With the A4 vacuum alignments, (0, 1, 1) and (1, 3, 1), the model predicts the entire PMNS mixing matrix with no free pa-rameters, up to a relative phase, selected to be 2π/3 from a choice of the nine complex roots of unity, which is identified as the leptogenesis phase. The model predicts a normal neutrino mass hierarchy with leptonic angles θ13ι ≈ 8.7∘, θ12ι ≈ 34∘, θ23ι ≈ 46∘ and an oscillation phase δι ≈ − 87∘.
hep-ph
1029-8479
Bj�örkeroth, Fredrik
d6e34b2a-e55d-41f4-8d72-e723c9c3f4bf
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
Bj�örkeroth, Fredrik
d6e34b2a-e55d-41f4-8d72-e723c9c3f4bf
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

Bj�örkeroth, Fredrik, Anda, Francisco J. de, Varzielas, Ivo de Medeiros and King, Stephen F. (2015) Towards a complete A4 × SU(5) SUSY GUT. Journal of High Energy Physics, 06. (doi:10.1007/JHEP06(2015)141).

Record type: Article

Abstract

We propose a renormalisable model based on A4 family symmetry with an SU(5) grand unified theory (GUT) which leads to the minimal supersymmetric standard model (MSSM) with a ℤ9 × ℤ6 symmetry provides the fermion mass hierarchy in both the quark and lepton sectors, while ℤ4R symmetry is broken to ℤ2R, identified as usual R-parity. Proton decay is highly sup-pressed by these symmetries. The strong CP problem is solved in a similar way to the Nelson-Barr mechanism. We discuss both the A4 and SU(5) symmetry breaking sectors, including doublet-triplet splitting, Higgs mixing and the origin of the μ term. The model provides an excellent fit (better than one sigma) to all quark and lepton (including neu-trino) masses and mixing with spontaneous CP violation. With the A4 vacuum alignments, (0, 1, 1) and (1, 3, 1), the model predicts the entire PMNS mixing matrix with no free pa-rameters, up to a relative phase, selected to be 2π/3 from a choice of the nine complex roots of unity, which is identified as the leptogenesis phase. The model predicts a normal neutrino mass hierarchy with leptonic angles θ13ι ≈ 8.7∘, θ12ι ≈ 34∘, θ23ι ≈ 46∘ and an oscillation phase δι ≈ − 87∘.

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Published date: 22 June 2015
Additional Information: 30 pages, 17 figures, 7 tables; Minor changes, references added, version accepted in JHEP
Keywords: hep-ph
Organisations: Theory Group

Identifiers

Local EPrints ID: 410457
URI: https://eprints.soton.ac.uk/id/eprint/410457
ISSN: 1029-8479
PURE UUID: ffdd940c-1a15-4951-af2b-a99d7290b4fb

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Date deposited: 08 Jun 2017 16:31
Last modified: 14 Aug 2019 17:32

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Contributors

Author: Fredrik Bj�örkeroth
Author: Francisco J. de Anda
Author: Ivo de Medeiros Varzielas
Author: Stephen F. King

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