Low-scale B-L extension of the standard model

The fact that neutrinos are massive indicates that the standard model ( SM) requires extension. We propose a low- energy ( less than or similar to TeV) B - L extension of the SM, which is based on the gauge group SU( 3)(C) x SU( 2)(L) x U( 1)(Y) x U( 1)(B-L). We show that this model provides a natural explanation for the presence of three right- handed neutrinos in addition to an extra- gauge boson and a new scalar Higgs. Therefore, it can lead to very interesting phenomenological implications different from the SM results which can be tested at the LHC. Also we analyze the muon anomalous magnetic moment in this class of models. We show that one loop with exchange Z' may give dominant new contribution similar to few x 10(-11).