Searching for a dark matter coupling to the Standard Model with a Stueckelberg extension

Abstract

We investigate a double extension to the Standard Model (SM). A first extension introduces, via minimal coupling, a massive $Z^{\prime }$ boson. This enlarged SM is coupled to a dark matter sector through the Stueckelberg mechanism by a $A^{\prime }$ boson. However, the $A^{\prime }$ boson does not interact directly with the SM fermions. In our study, we found that the $A^{\prime }$ is a massless photon-like particle in dark sector. Constraints on the mass for $Z^{\prime }$ and corrections to $Z$ mass are obtained.

Comments: Presented at IWARA 2011. "Fifth International Workshop on Astronomy and Relativistic Astrophysics" João Pessoa, Brazil, October 9 to 12, 2011