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In this work we introduce scalar leptoquarks into the 3-3-1 model with right-handed neutrinos with the aim of solving the (g − 2) μ puzzle. We show that besides the model supports leptoquarks in the octet, sextet, triplet and singlet representations, we identified that only one specif leptoquark in the singlet representation leads to flip of chirality as required to generate positive and robust contribution to the (g − 2) μ. Then we calculate its contributions to (g − 2) μ and to the decay process μ → e γ and discuss the results. [ABSTRACT FROM AUTHOR]

Since the heavy neutrinos of the inverse seesaw mechanism mix largely with the standard ones, the charged currents formed with them and the muons have the potential of generating robust and positive contribution to the anomalous magnetic moment of the muon. However, bounds from the non-unitary in the leptonic mixing matrix may restrict so severely the parameters of the mechanism that, depending on the framework under which the mechanism is implemented, may render it unable to explain the recent muon g-2 result. In this paper we show that this happens when we implement the mechanism into the standard model and into two versions of the 3-3-1 models. [ABSTRACT FROM AUTHOR]