$(g-2)_{\mu}$ anomaly within the left-right symmetric model

Abstract

The muon anomalous magnetic moment is discussed within the model based on the $SU(2)_L\times SU(2)_R\times U(1)_{B-L}$-gauge group. The contributions of the neutrinos having the dipole magnetic moment (DMM) are calculated. The cases of the Majorana and Dirac neutrino are considered. It is shown that to account for the $(g-2)_{\mu}$ anomaly DMMs connected with heavy neutrinos should be on the order of $\mbox{few}\times10^{-8}\mu_B$, that is at variance with the theoretically predicted values.