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SU(3) × SO(10) in 6d

SU(3) × SO(10) in 6d
SU(3) × SO(10) in 6d

We discuss a simple and elegant SU(3) × SO(10) family unified gauge theory in 6d compactified on a torus with the orbifold T2/Z2 3 and supplemented by a Z6 × Z3 discrete symmetry. The orbifold boundary conditions generate all the desired SU(3) breaking vacuum alignments, including the (0, 1, −1) and (1, 3, −1) alignments of the Littlest Seesaw model for atmospheric and solar neutrino mixing, as well as the usual SO(10) breaking with doublet-triplet splitting. The absence of driving and messenger fields considerably simplifies the field content of the model. It naturally explains why there are three families of quarks and leptons, and accounts for all their masses, mixing angles and CP phases via rather elegant looking Yukawa and Majorana matrices in the theory basis. The resulting model controls proton decay and allows successful Leptogenesis.

Field Theories in Higher Dimensions, GUT, Neutrino Physics
1126-6708
1-21
de Anda, Francisco J.
dbb27610-c99c-4727-9158-5a2c155f61de
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
de Anda, Francisco J.
dbb27610-c99c-4727-9158-5a2c155f61de
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538

de Anda, Francisco J. and King, Stephen F. (2018) SU(3) × SO(10) in 6d. Journal of High Energy Physics, 2018 (10), 1-21, [128]. (doi:10.1007/JHEP10(2018)128).

Record type: Article

Abstract

We discuss a simple and elegant SU(3) × SO(10) family unified gauge theory in 6d compactified on a torus with the orbifold T2/Z2 3 and supplemented by a Z6 × Z3 discrete symmetry. The orbifold boundary conditions generate all the desired SU(3) breaking vacuum alignments, including the (0, 1, −1) and (1, 3, −1) alignments of the Littlest Seesaw model for atmospheric and solar neutrino mixing, as well as the usual SO(10) breaking with doublet-triplet splitting. The absence of driving and messenger fields considerably simplifies the field content of the model. It naturally explains why there are three families of quarks and leptons, and accounts for all their masses, mixing angles and CP phases via rather elegant looking Yukawa and Majorana matrices in the theory basis. The resulting model controls proton decay and allows successful Leptogenesis.

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More information

Accepted/In Press date: 16 October 2018
e-pub ahead of print date: 19 October 2018
Published date: October 2018
Keywords: Field Theories in Higher Dimensions, GUT, Neutrino Physics

Identifiers

Local EPrints ID: 425936
URI: http://eprints.soton.ac.uk/id/eprint/425936
ISSN: 1126-6708
PURE UUID: 09d87a36-3f81-4292-a0b8-d9ff75b4ea01

Catalogue record

Date deposited: 07 Nov 2018 17:30
Last modified: 07 Oct 2020 00:14

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