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# SO(10)×S4 Grand Unified Theory of Flavour and leptogenesis

Anda, Francisco J. de, King, Stephen F. and Perdomo, Elena (2017) SO(10)×S4 Grand Unified Theory of Flavour and leptogenesis. The Journal of High Energy Physics, 2017 (075).

Record type: Article

## Abstract

We propose a Grand Unified Theory of Flavour, based on $SO(10)$ together with a non-Abelian discrete group $S_4$, under which the unified three quark and lepton 16-plets are unified into a single triplet $3'$. The model involves a further discrete group $\mathbb{Z}_4^R\times \mathbb{Z}_4^3$ which controls the Higgs and flavon symmetry breaking sectors. The CSD2 flavon vacuum alignment is discussed, along with the GUT breaking potential and the doublet-triplet splitting, and proton decay is shown to be under control. The Yukawa matrices are derived in detail, from renormalisable diagrams, and neutrino masses emerge from the type I seesaw mechanism. A full numerical fit is performed with 15 input parameters generating 19 presently constrained observables, taking into account supersymmetry threshold corrections. The model predicts a normal neutrino mass ordering with a CP oscillation phase of $260^{\circ}$, an atmospheric angle in the first octant and neutrinoless double beta decay with $m_{\beta \beta}= 11$ meV. We discuss $N_2$ leptogenesis, which fixes the second right-handed neutrino mass to be $M_2\simeq 2\times 10^{11}$ GeV, in the natural range predicted by the model.

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1710.03229v2 - Accepted Manuscript
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Anda2017_Article_SO10S4GrandUnifiedTheoryOfFlav - Version of Record

Accepted/In Press date: 5 December 2017
e-pub ahead of print date: 14 December 2017
Published date: December 2017
Keywords: hep-ph

## Identifiers

Local EPrints ID: 429958
URI: http://eprints.soton.ac.uk/id/eprint/429958
ISSN: 1029-8479
PURE UUID: eb7abc15-2a88-433b-880d-1a7d4ca0515b

## Catalogue record

Date deposited: 09 Apr 2019 16:30

## Contributors

Author: Francisco J. de Anda
Author: Stephen F. King
Author: Elena Perdomo