Prospects for a flavour violating [Formula omitted] explanation of [Formula omitted]

• Published in: The European physical journal. C, Particles and fields Vol. 82; no. 9
• Main Authors: Kriewald, J, Orloff, J, Pinsard, E, Teixeira, A. M
• Format: Journal Article
• Language: English
• Published: Springer 01.09.2022
• Subjects: Collisions (Nuclear physics)
• ISSN: 1434-6044
• DOI: 10.1140/epjc/s10052-022-10776-1

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 ( [Formula omitted]) 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 [Formula omitted], albeit subject to stringent experimental constraints. Here we explore a minimal extension of the Standard Model via a leptophilic vector boson [Formula omitted], 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 Z and [Formula omitted] decays) and from rare charged lepton flavour violating transitions. Once these are accommodated, one can saturate the tensions in [Formula omitted], but [Formula omitted] is predicted to be Standard Model-like. We infer prospects for several observables, including leptonic Z decays and several charged lepton flavour violating processes. We also discuss potential signatures of the considered [Formula omitted] at a future muon collider, emphasising the role of the [Formula omitted] forward-backward asymmetry as a key probe of the model.