Leptoquark and vector-like quark extended model for simultaneousexplanation of W boson mass and muon g–2 anomalies*

The CDF collaboration recently announced a new measurement result of the $W$ boson mass, and it is in tension with standard model (SM) prediction. In this paper, we explain anomaly vector-like quark (VLQ) $(X,T,B)_{L,R}$ leptoquark (LQ) $S_3$ extended model. model, both VLQ LQ have positive corrections to mass. Moreover, can also be solution $(g-2)_{\mu}$ because chiral enhancements from top, $T$, $B$ quarks.