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We study a scotogenic extension of the minimal gauged $L_{\mu}-L_{\tau}$model, including three right-handed singlet fermions and a scalar doublet allodd under an in-built $Z_2$ symmetry to explain the anomalous magnetic momentsof the muon, CDF-II W-mass anomaly, and the 95 GeV excess reported by the CMScollaboration. While the minimal model can successfully explain the muon$(g-2)$ and CDF-II W-mass anomalies, the required diphoton signal strength forthe 95 GeV scalar, together with that of the SM Higgs, can not be obtained inthe minimal model. The same can, however, be explained by incorporating twoadditional scalar doublets whose only role is to contribute radiatively todiphoton decay modes of the light, neutral scalars. Due to the scotogenicextension, the model remains consistent with the observed properties of lightneutrinos and dark matter in the Universe.

Scotogenic $U(1)_{L_{\mu}-L_{\tau}}$ origin of $(g-2)_\mu$, W-mass anomaly and 95 GeV excess