Prospects for a flavour violating explanation of
J. Kriewald🇫🇷 · J. Orloff🇫🇷 · E. Pinsard🇫🇷 · A. M. Teixeira🇫🇷
The apparent tensions emerging from the comparison of experimental data of the anomalous magnetic moments of the muon and electron to the Standard Model predictions () could be interpreted as a potential signal of New Physics. Models encompassing a light vector boson have been known to offer a satisfactory explanation to , albeit subject to stringent experimental constraints. Here we explore a minimal extension of the Standard Model via a leptophilic vector boson , under the hypothesis of strictly flavour-violating couplings of the latter to leptons. The most constraining observables to this ad-hoc construction emerge from lepton flavour universality violation (in and decays) and from rare charged lepton flavour violating transitions. Once these are accommodated, one can saturate the tensions in , but is predicted to be Standard Model-like. We infer prospects for several observables, including leptonic decays and several charged lepton flavour violating processes. We also discuss potential signatures of the considered at a future muon collider, emphasising the role of the forward-backward asymmetry as a key probe of the model.