Implications of the muon anomalous magnetic moment in a doublet left-right symmetric model

Abstract We compute the complete set of one-loop contributions to the muon anomalous magnetic moment, $$a_{\mu }=(g-2)_{\mu }/2$$ a μ = ( g - 2 ) μ / 2 , in the doublet left-right symmetric model (DLRSM), based on the gauge group $$SU(2)_{L}\otimes SU(2)_{R}\otimes U(1)_{B-L}$$ S U ( 2 ) L ⊗ S U ( 2 ) R ⊗ U ( 1 ) B - L with neutrino masses generated via the inverse seesaw (ISS) mechanism. We evaluate all four one-loop topologies VFF, SFF, FVV, and FSS arising from the extended gauge bosons ( $$W^{\prime }$$ W ′ , $$Z^{\prime }$$ Z ′ ), the new scalar sector ( $$H_{3}^{0}$$ H 3 0 , $$A_{1}^{0}$$ A 1 0 , $$H_{R}^{\pm }$$ H R ± , $$H_{L}^{\pm }$$ H L ± ), and the heavy neutrino spectrum generated by the ISS mechanism, using the Casas–Ibarra parametrization to express the neutrino mixing in terms of physical observables. Imposing the experimental bound on $$\varDelta a_{\mu }$$ Δ a μ , we find a lower bound $$v_{R} > rsim 1$$ v R ≳ 1 TeV, corresponding to $$m_{W^{\prime }} > rsim 325$$ m W ′ ≳ 325