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A supersymmetric grand unified theory of flavour with PSL2(7)×SO(10)PSL2(7)×SO(10)

A supersymmetric grand unified theory of flavour with PSL2(7)×SO(10)PSL2(7)×SO(10)
A supersymmetric grand unified theory of flavour with PSL2(7)×SO(10)PSL2(7)×SO(10)
We construct a realistic Supersymmetric Grand Unified Theory of Flavour based on PSL(7)×SO(10), where the quarks and leptons in the 16 of SO(10) are assigned to the complex triplet representation of PSL(7), while the flavons are assigned to a combination of sextets and anti-triplets of PSL(7). Using a D-term vacuum alignment mechanism, we require the flavon sextets of PSL(7) to be aligned along the 3-3 direction leading to the third family Yukawa couplings, while the flavon anti-triplets describe the remaining Yukawa couplings. Other sextets are aligned along the neutrino flavour symmetry preserving directions leading to tri-bimaximal neutrino mixing via a type II see-saw mechanism, with predictions for neutrinoless double beta decay and cosmology.
0550-3213
414-439
King, S. F.
f8c616b7-0336-4046-a943-700af83a1538
Luhn, Christoph
59a723a0-9d34-48e8-9b97-9d608ad196c8
King, S. F.
f8c616b7-0336-4046-a943-700af83a1538
Luhn, Christoph
59a723a0-9d34-48e8-9b97-9d608ad196c8

King, S. F. and Luhn, Christoph (2010) A supersymmetric grand unified theory of flavour with PSL2(7)×SO(10)PSL2(7)×SO(10). Nuclear Physics B, 832 (1-2), 414-439. (doi:10.1016/j.nuclphysb.2010.02.019).

Record type: Article

Abstract

We construct a realistic Supersymmetric Grand Unified Theory of Flavour based on PSL(7)×SO(10), where the quarks and leptons in the 16 of SO(10) are assigned to the complex triplet representation of PSL(7), while the flavons are assigned to a combination of sextets and anti-triplets of PSL(7). Using a D-term vacuum alignment mechanism, we require the flavon sextets of PSL(7) to be aligned along the 3-3 direction leading to the third family Yukawa couplings, while the flavon anti-triplets describe the remaining Yukawa couplings. Other sextets are aligned along the neutrino flavour symmetry preserving directions leading to tri-bimaximal neutrino mixing via a type II see-saw mechanism, with predictions for neutrinoless double beta decay and cosmology.

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Published date: 2010

Identifiers

Local EPrints ID: 179053
URI: http://eprints.soton.ac.uk/id/eprint/179053
ISSN: 0550-3213
PURE UUID: 65b5121d-3573-42ca-92a2-db0430c7ab2e

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Date deposited: 26 Apr 2011 10:36
Last modified: 16 Jul 2019 23:44

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