Abstract
We propose a 6d model with a SUSY SU(5) gauge symmetry. After compactification, it explains the origin of the S4 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.
Highlights
With GUTs [5,6,7,8]
We propose a 6d model with a SUSY SU(5) gauge symmetry
It explains the origin of the S4 Family Symmetry with CSD3 vacuum alignment, as well as SU(5) breaking with doublet-triplet splitting
Summary
The extra dimensions are compactified in a torus orbifold T 2/(ZS2 M × Z2) This compactification breaks the extended SUSY and the GUT groups. There we list the representation of each field under the GUT group SU(5), the flavour group S4 and their charges under the shaping symmetry U(1). The MSSM doublets hu,d lie in H5, ̄5 respectively They are located in the bulk with a positive parity so that only the doublets are light after compactification, so that the doublet triplet splitting is natural. The compactification gives the flavour symmetry and helps to align the flavons that break it. This model, the extra dimensions play a big role in achieving symmetry breaking, so that the full field content, listed, is much smaller than any previous theory This model, the extra dimensions play a big role in achieving symmetry breaking, so that the full field content, listed in table 1, is much smaller than any previous theory
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