A gauge model for right handed neutrinos as dark matter

Understand

$B-L$ is known to be a symmetry somewhat linked to the origin of neutrino masses, which turns out to be anomaly free upon the sole introduction of right handed neutrinos.

• We suggest a simple extension of the electroweak group, $SU(2)_L\times U(1)_Y\times U(1)_{B-L}$, where the breaking of $U(1)_{B-L}$ symmetry provides masses for right handed neutrinos at an acceptable range for them to be Dark Matter candidates.
• We review the cosmological constraints for this type of models, in order to find the restrictions on the parameters of the model.
• We study the contributions due to the $B-L$ current in the process $e^+e^- \rightarrow e^+e^-$ at low energies.