Interpreting the $\mathbf{W}$-Mass and Muon $({\mathbf{g}}_{\mathbf{\mu }}-2)$ Anomalies within a 2-Higgs Doublet Model

Abstract

In this study, we investigate the anomalous magnetic moment of the muon $(g_{\mu }-2)$ as reported by Fermilab (FNAL), along with the recent measurement of the $W$-boson mass by the CDF-II collaboration. Both findings show significant deviations from the predictions of the Standard Model (SM), hinting at the possibility of new physics. Our focus is on the Type III two-Higgs-doublet model (2HDM), wherein both Higgs doublets couple with all fermions, leading to the induction of flavour-changing neutral currents (FCNCs) at the tree level. Within this framework, we investigate a lepton-flavour-violating (LFV) scenario, aiming to explain both observed anomalies, while satisfying the up-to-date theoretical and experimental constraints.

12 pages, 12 figures. A new section on (g-2) has been added and the discussion has been revised

Cited by in corpus (3)

• Compatibility of muon $g-2$, $W$ mass anomaly in type-X 2HDM
• $W$ mass in a model with vector-like leptons and $U(1{)}^{\prime }$
• An alternative gauged $U(1{)}_R$ symmetric model in light of the CDF II $W$ boson mass anomaly