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We propose new lepton-mixing textures that may be enforced throughwell-defined symmetries in renormalizable models. Each of our textures has foursum rules for the neutrino mass observables. The models are based on the type-Iseesaw mechanism; their charged-lepton mass matrices are diagonal because ofthe symmetries imposed. Each model has three versions, depending on theidentification of the charged leptons. Testing all the models, we have foundthat five of them agree with the data at the 1 sigma level when theneutrino-mass ordering is normal, and two models agree with the data for aninverted ordering. We detail the predictions of each of those seven models.

More models for lepton mixing with four constraints