Aligned Zee-Grimus-Neufeld model for $(g-2)_\mu$

The recent result of the Fermilab Muon g-2 experiment is still in conflict with the SM prediction if dispersive methods are used as input for the hadronic vacuum polarization. We seek models where the same set of mediators around the weak scale or above contribute to neutrino masses and to the muon $g-2$ through a chiral enhanced contribution. As family lepton number violation is inherent to the former, non-negligible charged lepton flavor violation will be induced. We arrive at the following field content additional to the SM: one Higgs doublet, one singly charged scalar and one righthanded neutrino. Neutrino masses will be generated by a combination of mechanisms: tree-level seesaw, Zee mechanism and Grimus-Neufeld mechanism while lepton flavor violation will be minimized by considering Yukawa aligned Higgs doublets. The setting is flexible enough to account for $(g-2)_\mu$, the Cabibbo angle anomaly and the $W$ mass deviation while avoiding dangerous CLFV.