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Mass Independent Textures and Symmetry
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A mass-independent texture is a set of linear relations of the fermion mass-matrix elements which imposes no constraint on the fermionic masses nor the Majorana phases. Magic and 2-3 symmetries are examples. We discuss the general construction and the properties of these textures, as well as their relation to the quark and neutrino mixing matrices. Such a texture may be regarded as a symmetry, whose unitary generators of the symmetry group can be explicitly constructed. In particular, the symmetries connected with the tri-bimaximal neutrino mixing matrix are discussed, together with the physical consequence of breaking one symmetry but preserving another.
Forward citations
Cited by 2 Pith papers
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Lepton mixing from the $\Delta(96)$ Modular Littlest Seesaw
An exhaustive scan of Δ(96) Modular Littlest Seesaw models yields 35 viable residual-symmetry patterns with new fixed PMNS columns and sharp, testable predictions beyond TM1.
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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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