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.
414-439
King, S. F.
f8c616b7-0336-4046-a943-700af83a1538
Luhn, Christoph
59a723a0-9d34-48e8-9b97-9d608ad196c8
2010
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), .
(doi:10.1016/j.nuclphysb.2010.02.019).
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
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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: 14 Mar 2024 02:47
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Author:
Christoph Luhn
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