Influence of low-energy supersymmetric vector-like quirk particles on W mass increment and muon g-2 anomaly

In the low energy realization of the quirk assisted Standard Model, the couplings between the exotic particles "quirks" and gauge bosons may contribute to the W mass and muon g-2 anomaly reported by FermiLab. We calculate the contributions from supersymmetric quirk particles as an example. By imposing the theoretical constraints, we determined that the CDF II W-boson mass increment strictly constrains the mixing and coupling parameters and the quirk mass m(F), while the muon g-2 anomaly cannot be solely attributed to the involvement of exotic particles, considering their significantly large masses.