Flavor origin of dark matter and its relation with leptonic nonzero θ 13 and Dirac CP phase δ

Abstract 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 θ 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 Z 2 $$ {\mathcal{Z}}_2 $$ 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 θ 13. We assume the dark matter to be neutral under the existing A 4 symmetry while charged under the U(1) flavor symmetry. Hence in this set-up, the non-zero value of sin θ 13 predicts the dark matter charge under U(1), which can be tested at various ongoing and future direct and collider dark matter search experiments. We also point out the involvement of nonzero leptonic CP phase δ, which plays an important role in the analysis