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arXiv · 1907.10698

Stitching an Asymmetric Texture with $\mathcal{T}_{13} \times \mathcal{Z}_5$ Family Symmetry

M. Jay Pérez·Moinul Hossain Rahat·Pierre Ramond·Alexander J. Stuart·Bin Xu
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Abstract

We propose $\mathcal{T}_{13} = \mathcal{Z}_{13} \rtimes \mathcal{Z}_3$ as the underlying non-Abelian discrete family symmetry of the asymmetric texture presented in arXiv:1805.10684 [hep-ph]. Its mod 13 arithmetic distinguishes each Yukawa matrix element of the texture. We construct a model of effective interactions that singles out the asymmetry and equates, without fine-tuning, the products of down-quark and charged-lepton masses at a GUT-like scale.

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M. Jay Pérez, Moinul Hossain Rahat, Pierre Ramond, Alexander J. Stuart, Bin Xu. 2019-10-01. Stitching an Asymmetric Texture with $\mathcal{T}_{13} \times \mathcal{Z}_5$ Family Symmetry. https://doi.org/10.1103/physrevd.100.075008

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