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arXiv · 2506.16951

Unification and Texture Universality: The Essence of Hermiticity

Pralay Chakraborty·Subhankar Roy
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Abstract

A unified framework sheltering the type-I Dirac seesaw, based on the $\Delta(27)$ group supplemented by other cyclic symmetries is proposed, preserving the naturalness of Yukawa couplings. It helps to visualize mass matrices within the lepton and quark sectors in terms of \textit{three universal parameters}: $\Sigma_1$, $\Sigma_2$, and $\Sigma_3$, highlighting that the down-type quark and light neutrino mass matrices exhibit a \textit{Hermitian} texture. Several phenomenological aspects, such as lepton flavour violation and nonunitarity of the lepton mixing matrix are explored. The stability of the proposed texture under renormalization group evolution is also investigated.

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Pralay Chakraborty, Subhankar Roy. 2025-06-20. Unification and Texture Universality: The Essence of Hermiticity. https://arxiv.org/abs/2506.16951

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