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' and the neutral electroweak vector bosons. The miscellaneous mixing patterns can be evaluated perturbatively. The effective oblique parameters S', T', and U' are calculated to compare with the electroweak precision test results. With the contributions to the non-negligible U' parameter from the epsilon B;W parameters and the aid of some other parameters to cancel the negative T', the recent CDF W-mass anomaly can therefore be explained.

Automated summary

This study enumerates various effective couplings that contribute to the mixings between an exotic vector boson Z' and the neutral electroweak vector bosons. Perturbative evaluation of the miscellaneous mixing patterns is performed. The effective oblique parameters S', T', and U' are calculated and compared with the results of electroweak precision tests. By including the contributions of the non-negligible U' parameter from the epsilon B;W parameters and using other parameters to cancel the negative T', the recent CDF W-mass anomaly can be explained.