# Planck Scale Origin of Non-zero $\theta_{13}$ and Super-WIMP Dark Matter

## TL;DR

This paper explores how Planck-scale effects can break discrete symmetries, leading to non-zero neutrino mixing angle $ heta_{13}$ and enabling super-WIMP dark matter scenarios within a flavor symmetric model.

## Contribution

It introduces a model where Planck suppressed operators break discrete symmetries, generating realistic neutrino mixing and novel dark matter decay channels.

## Key findings

- Non-zero $ heta_{13}$ consistent with neutrino data
- Inert scalar doublet decay into singlet fermion for super-WIMP dark matter
- Three realizations of super-WIMP dark matter scenarios

## Abstract

We study a discrete flavour symmetric scenario for neutrino mass and dark matter under the circumstances where such global discrete symmetries can be explicitly broken at Planck scale, possibly by gravitational effects. Such explicit breaking of discrete symmetries mimic as Planck suppressed operators in the model which can have non-trivial consequences for neutrino and dark matter sectors. In particular, we study a flavour symmetric model which, at renormalisable level, gives rise to tri-bimaximal type neutrino mixing with vanishing reactor mixing angle $\theta_{13}=0$, a stable inert scalar doublet behaving like a weakly interacting massive particle (WIMP) and a stable singlet inert fermion which does not interact with any other particles. The introduction of Planck suppressed operators which explicitly break the discrete symmetries, can give rise to the generation of non-zero $\theta_{13}$ in agreement with neutrino data and also open up decay channels of inert scalar doublet into singlet neutral inert fermion leading to the realisation of the super-WIMP dark matter scenario. We show that the correct neutrino phenomenology can be obtained in this model while discussing three distinct realisation of the super-WIMP dark matter scenario.