Trimaximal TM1 mixing with two modular S4 groups
Abstract
We discuss a minimal flavour model with twin modular symmetries, leading to trimaximal TM1 lepton mixing in which the first column of the tri-bimaximal lepton mixing matrix is preserved. The model involves two modular S4 groups, one acting in the neutrino sector, associated with a modulus field value τSU with residual ZSU2 symmetry, and one acting in the charged lepton sector, associated with a modulus field value τT with residual ZT3 symmetry. Apart from the predictions of TM1 mixing, the model leads to a new neutrino mass sum rule which implies lower bounds on neutrino masses close to current limits from neutrinoless double beta decay experiments and cosmology.
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