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.
Highlights
Nonzero but tiny neutrino mass and large leptonic mixing have become a well-established fact thanks to several experimental efforts in the last two decades [1,2,3,4,5,6,7,8,9]
We study a discrete flavor symmetric scenario for neutrino mass and dark matter under the circumstances where such global discrete symmetries can be explicitly broken at the Planck scale, possibly by gravitational effects
We study a flavor symmetric model which, at a renormalizable level, gives rise to tri-bimaximal type neutrino mixing with vanishing reactor mixing angle θ13 1⁄4 0, a stable inert scalar doublet behaving like a weakly interacting massive particle (WIMP) and a stable singlet inert fermion that does not interact with any other particles
Summary
Nonzero but tiny neutrino mass and large leptonic mixing have become a well-established fact thanks to several experimental efforts in the last two decades [1,2,3,4,5,6,7,8,9]. The typical indirect detection experiment’s excess of antimatter, gamma rays, or neutrinos, originating perhaps from dark matter annihilations (for stable DM) or decay (for long-lived DM), and no convincing signal has been observed at any experiment operating in this frontier Such null results from WIMP searches have led to the proposals of several alternative frameworks of DM, specially to scenarios where the interaction between DM and the visible sector could be much weaker than what it is in the WIMP paradigm. DM still has feeble interactions with the visible sector, the metastable WIMP has sizable interactions and can be detected as, for example, a long-lived BSM particle at collider experiments [79] This scenario was adopted in the context of neutrino mass models in several works including Refs.
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