Planck scale origin of nonzero θ13 and super-WIMP dark matter

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 θ 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 θ 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.

Discrete Flavor Symmetries and Lepton Masses and Mixings

“…In [223] the authors have shown that such tiny coupling required in both dark and visible sectors may have its origin in A 4 discrete flavor symmetry. In another effort [224] it has been shown that the non-zero value of the reactor mixing angle θ 13 can originate from a Planck scale suppress operators and as well as realize super-WIMP dark matter scenario. The study of dark matter in the context of non-Abelian discrete symmetries demands a lot more attention to explore the connection of neutrino physics and dark matter, if any.…”

Probing Left-Right Symmetry via Gravitational Waves from Domain Walls

“…Gauge structure of the underlying theory dictates the structure of these non-renormalisable operators. Role of such operators on neutrino mass and mixing has been discussed in [76][77][78].…”

Common origin of modified chaotic inflation, nonthermal dark matter, and Dirac neutrino mass

“…This has led to several proposals that attempt to generate tiny Dirac neutrino masses in a variety of ways . In a recent work [90], a common origin of light Dirac neutrinos and non-thermal DM was proposed where tiny couplings involved in non-thermal DM and Dirac neutrino mass had common source from higher dimensional operators. Here we extend that idea to incorporate inflation as well 1 , within a modified chaotic inflation scenario.…”