An $S_4\times SU(5)$ SUSY GUT of flavour in 6d

Abstract

We propose a 6d model with a SUSY $SU(5)$ gauge symmetry. After compactification, it explains the origin of the $S_4$ Family Symmetry with CSD3 vacuum alignment, as well as $SU(5)$ breaking with doublet-triplet splitting. The model naturally accounts for all quark and lepton (including neutrino) masses and mixings, incorporating the highly predictive Littlest Seesaw structure. It spontaneously breaks CP symmetry, resulting in successful CP violation in the quark and lepton sectors, while solving the Strong CP problem. It also explains the Baryon Asymmetry of the Universe (BAU) through leptogenesis, with the leptogenesis phase directly linked to the Dirac and Majorana phases.

arXiv comment23 pages, 6 figures. v3: Version published in JHEP

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• $SU(5)$ Grand Unified Theory with $A_4$ Modular Symmetry
• Modular $A_4$ Symmetry Models of Neutrinos and Charged Leptons
• Trimaximal TM${}_1$ mixing with two modular $S_4$ groups
• Multiple modular symmetries as the origin of flavour
• Twin Modular $S_4$ with $SU(5)$ GUT
• SUSY Breaking Constraints on Modular flavor $S_3$ Invariant $SU(5)$ GUT Model
• The symmetry approach to quark and lepton masses and mixing
• Predictions from warped flavordynamics based on the $T^{\prime }$ family group
• A 3-3-1 model with low scale seesaw mechanisms
• Fermion masses and mixings and some phenomenological aspects of a 3-3-1 model with linear seesaw mechanism
• Spontaneous breaking of $SO(3)$ to finite family symmetries with supersymmetry - an $A_4$ model
• Consequences of vector-like quarks of Nelson-Barr type
• Solving the strong CP problem with non-conventional CP
• Modular flavour symmetry and orbifolds
• Muon anomalies and the $SU(5)$ Yukawa relations
• Probing the predictions of an orbifold theory of flavor
• Magnetized orbifolds and localized flux
• Multiscalar $B-L$ extension based on $S_4$ flavor symmetry for neutrino mass and mixing
• Fully constrained mass matrix: Can symmetries alone determine the flavon vacuum alignments?
• Proton decay in flux compactifications
• Phenomenology of extended multiHiggs doublet models with $S_4$ family symmetry
• Scotogenic dark matter in an orbifold theory of flavor
• Orbifold Modular GUT of Flavour
• First steps towards the reconstruction of the squark flavour structure
• Flavon alignments from orbifolding: $SU(5)\times SU(3)$ model with ${\mathbb{T}}^6/\Delta (54)$