TM1,2 mixing phases φ1,2 equal specific rephasing-invariant phase combinations of the PMNS matrix and satisfy exact sum rules with the Dirac phase δ.
Symmetry of Lepton Mixing
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Neutrino mixing is studied from a symmetry perspective, both bottom-up and top-down. In the bottom-up approach, we start from the tri-bimaximal mixing, or one of its three partial patterns, and construct a list of horizontal symmetry groups capable of reproducing the mixng without adjustment of parameters. This list, labeled by an integer $n\ge 3$, is explicitly calculated for $n=3$. In the top-down approach, we start from any finite group possessing a three-dimensional irreducible representation and an order-2 element, give a recipe to determine what mixing pattern it contains, and how to construct a dynamical model to reveal a particular mixing. Finally, we point out that if quark mixing is controlled by symmetry in this way, then there is an exciting possibility to determine most of the CKM mixing parameters by symmetry alone.
fields
hep-ph 2years
2026 2representative citing papers
A subconstituent compositeness reading of the B-lattice organizes fermion masses and mixings on a ninths ladder with Z9 charges, yielding CKM/PMNS forms, m3 ≃ 51 meV, ma ∼ 7–12 μeV, and tanβ ≃ 10–16 from Λ and ε = 14/75.
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Rephasing invariant CP phases and sum rules in TM$_{1,2}$ mixing
TM1,2 mixing phases φ1,2 equal specific rephasing-invariant phase combinations of the PMNS matrix and satisfy exact sum rules with the Dirac phase δ.
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Generation as Compositeness: A Subconstituent Interpretation of the $B$-Lattice Flavor Hierarchy
A subconstituent compositeness reading of the B-lattice organizes fermion masses and mixings on a ninths ladder with Z9 charges, yielding CKM/PMNS forms, m3 ≃ 51 meV, ma ∼ 7–12 μeV, and tanβ ≃ 10–16 from Λ and ε = 14/75.