Unification and texture universality: the essence of hermiticity
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.
Institutions
- Gauhati University (IN)
Publication Details
- Journal
- Journal of Physics G Nuclear and Particle Physics
- Published
- 2026-07-17
- DOI
- https://doi.org/10.1088/1361-6471/ae8c59
- Primary Topic
- Quantum Mechanics and Non-Hermitian Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Gauhati University