Flavor origin of dark matter and its relation with leptonic nonzero $\theta_{13}$ and Dirac CP phase $\delta$

Understand

We propose a minimal extension of the standard model by including a $U(1)$ flavor symmetry to establish a correlation between the relic abundance of dark matter, measured by WMAP and PLANCK satellite experiments and non-zero value of $\sin \theta_{13}$ observed at DOUBLE CHOOZ, Daya Bay, RENO and T2K.

• The flavour symmetry is allowed to be broken at a high scale to a remnant $\mathcal{Z}_2$ symmetry, which not only ensures the stability to the dark matter, but also gives rise to a modification to the existing $A_4$-based tri-bimaximal neutrino mixing.
• This deviation in turn suggests the required non-zero value of $\sin \theta_{13}$.
• We assume the dark matter to be neutral under the existing $A_4$ symmetry while charged under the $U(1)$ flavor symmetry.