Non-Abelian family symmetries in Pati-Salam unification
Ivo de Medeiros Varzielas
TL;DR
This paper proposes a framework combining SU(3) x SU(3) family symmetries with Pati-Salam unification, enhancing predictivity and vacuum alignment, and exploring neutrino mixing deviations like large theta13.
Contribution
It introduces a novel SU(3) x SU(3) family symmetry framework compatible with Pati-Salam unification, addressing vacuum alignment and neutrino mixing predictions.
Findings
Improved vacuum alignment in the proposed framework
Enhanced predictivity for fermion masses and mixings
Potential explanation for large theta13 neutrino mixing angle
Abstract
We present a framework of underlying SU(3) x SU(3) family symmetries consistent with Pati-Salam unification and discuss advantages that can justify introducing multiple non-Abelian factors. Advantages include improved vacuum alignment and increased predictivity. We explore in this framework deviations from tri-bi-maximal neutrinos, such as relatively large theta13.
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