Corrections to electroweak precision observables from mixings of an exotic vector boson in light of the CDF <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>W</mml:mi></mml:math>-mass anomaly
Chengfeng Cai, Dayun Qiu, Yi-Lei Tang, Zhao-Huan Yu, H. H. Zhang
Abstract
We enumerate various effective couplings that contribute to the mixings between an exotic vector boson ${Z}^{\ensuremath{'}}$ and the neutral electroweak vector bosons. The miscellaneous mixing patterns can be evaluated perturbatively. The effective oblique parameters ${S}^{\ensuremath{'}}$, ${T}^{\ensuremath{'}}$, and ${U}^{\ensuremath{'}}$ are calculated to compare with the electroweak precision test results. With the contributions to the non-negligible ${U}^{\ensuremath{'}}$ parameter from the ${\ensuremath{\epsilon}}_{B,W}$ parameters and the aid of some other parameters to cancel the negative ${T}^{\ensuremath{'}}$, the recent CDF $W$-mass anomaly can therefore be explained.