Abstract
We show that under current experimental bound of the decays $e_a\rightarrow e_b\gamma$, the recent experimental data of the muon anomalous magnetic dipole moment $(g-2)_{\mu}$ can be explained in the framework of the 3-3-1 model with right handed neutrinos. In addition, all of these branching ratios can reach closely the recent experimental upper bounds.
Highlights
At present, the experimental data on the anomalous dipole magnetic moments of electron and muon ae;μ 1⁄4 ðge;μ − 2Þ=2 show significant deviations from their values predicted by the Standard Model (SM) [1,2,3,4]
We show that under current experimental bounds of the decays ea → ebγ, the recent experimental data of the muon anomalous magnetic dipole moment ðg − 2Þμ can be explained in the framework of the 3 − 3 − 1 model with right-handed neutrinos
A recent note indicated that a version of the 3 − 3 − 1 model with righthanded neutrino (331RN) with heavy neutral fermions assigned as SUð3ÞL gauge singlets can predict large one-loop contributions from singly charged Higgs bosons and inverse seesaw (ISS) neutrinos enough to explain the recent ðg − 2Þμ data [36]
Summary
The experimental data on the anomalous dipole magnetic moments of electron and muon ae;μ 1⁄4 ðge;μ − 2Þ=2 show significant deviations from their values predicted by the Standard Model (SM) [1,2,3,4]. The remaining models rule out large Δaμ for large SUð3ÞL symmetry scale with order of Oð1Þ TeV, if no new SUð3ÞL Higgs triplet or vectorlike charged lepton are added This result can be explained qualitatively from a consequence that a one-loop contribution from a heavy gauge boson V is different from that of the WÆ boson by a small factor m2W=m2V ≥ 10−3. The 3 − 3 − 1 models explaining active neutrino data based on the ISS mechanism has been discussed widely previously [39,40,41,42], but the interesting regions of the parameter space allowing large Δaμ data and consistent with recent cLFV experimental constraints were not shown.
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