The SM extensions with additional light scalar singlet, nonrenormalizable Yukawa interactions and $(g-2)_{\mu}$

We consider the SM extension with additional light real singlet scalar, right-handed neutrino and nonrenormalizable Yukawa interaction for the first two generations. We show that the proposed model can explain the observed $(g - 2)$ muon anomaly. Phenomenological consequences as flavour violating decays $\tau \rightarrow \mu\mu\mu, \mu \mu e, \mu e e$ are briefly discussed. We also propose the $U_R(1)$ gauge generalization of the SM with complex scalar singlet and nonzero right-handed charges for the first two generations.