Trimaximal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>TM</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> mixing with two modular <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>S</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:math> groups

Abstract

We discuss a minimal flavor model with twin modular symmetries, leading to trimaximal ${\mathrm{TM}}_{1}$ lepton mixing in which the first column of the tri-bimaximal lepton mixing matrix is preserved. The model involves two modular ${S}_{4}$ groups, one acting in the neutrino sector, associated with a modulus field value ${\ensuremath{\tau}}_{SU}$ with residual ${Z}_{2}^{SU}$ symmetry, and one acting in the charged lepton sector, associated with a modulus field value ${\ensuremath{\tau}}_{T}$ with residual ${Z}_{3}^{T}$ symmetry. Apart from the predictions of ${\mathrm{TM}}_{1}$ 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.

Topics & Concepts