# DISCRETE 2018

26-30 November 2018
Europe/Vienna timezone

## Lepton Masses and Mixing from Modular S4 Symmetry

27 Nov 2018, 14:20
25m
Johannessaal

#### Johannessaal

Austrian Academy of Sciences, Dr.-Ignaz-Seipel-Platz 2, 1010 Vienna, AUSTRIA
Non-Invited Talk [5] Discrete symmetries and models of flavour mixing

### Speaker

Joao Penedo (SISSA)

### Description

We study models of lepton masses and mixing based on broken modular invariance. We consider invariance under the finite modular group $\Gamma_4 \simeq S_4$ and focus on the minimal scenario where the expectation value of the modulus is the only source of symmetry breaking, such that no flavons need to be introduced. After constructing a basis for the lowest weight modular forms, we build two minimal models, one of which successfully accommodates charged lepton masses and neutrino oscillation data, while predicting the values of the Dirac and Majorana CPV phases.

Content of the contribution Theory

### Primary authors

Joao Penedo (SISSA) Serguey Petcov (SISSA/INFN, Trieste, Italy)