Corrections to electroweak precision observables from mixings of an exotic vector boson in light of the CDF W -mass anomaly

We enumerate various effective couplings that contribute to the mixings between an exotic vector boson Z (cid:48) and the neutral electroweak vector bosons. The miscellaneous mixing patterns can be evaluated perturbatively. The effective oblique parameters S (cid:48) , T (cid:48) , and U (cid:48) are calculated to compare with the electroweak precision test results. With the contributions to the non-negligible U (cid:48) parameter from the (cid:15) B,W parameters and the aid of some other parameters to cancel the negative T (cid:48) , the recent CDF W -mass anomaly can therefore be explained.