Precise determination of Z-Z' mixing at the CERN LHC

We discuss the expected sensitivity to ${Z}^{\ensuremath{'}}$ boson effects in the ${W}^{\ifmmode\pm\else\textpm\fi{}}$ boson pair production process at the Large Hadron Collider (LHC). The results of a model-dependent analysis of ${Z}^{\ensuremath{'}}$ boson effects are presented as constraints on the $Z\text{\ensuremath{-}}{Z}^{\ensuremath{'}}$ mixing angle $\ensuremath{\phi}$ and ${Z}^{\ensuremath{'}}$ boson mass. The process $pp\ensuremath{\rightarrow}{W}^{+}{W}^{\ensuremath{-}}+X$ allows us to place stringent constraints on the $Z\text{\ensuremath{-}}{Z}^{\ensuremath{'}}$ mixing angle. Specifically, we find that the present LHC bounds on the mixing angle are of the order a few times ${10}^{\ensuremath{-}3}$, which is of the same order as those derived from the electroweak data. These results were derived from analysis of $W$-pair production at $\sqrt{s}=8\text{ }\text{ }\mathrm{TeV}$ and integrated luminosity of $20\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$. Further improvement on the constraining of this mixing can be achieved from the analysis of data on $WW\ensuremath{\rightarrow}l\ensuremath{\nu}{l}^{\ensuremath{'}}{\ensuremath{\nu}}^{\ensuremath{'}}$ ($l,{l}^{\ensuremath{'}}=e$ or $\ensuremath{\mu}$) and $WW\ensuremath{\rightarrow}l\ensuremath{\nu}jj$ final states collected at the LHC with nominal energy and luminosity, 14 TeV and $100\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$, and should be $\ensuremath{\phi}\ensuremath{\sim}{10}^{\ensuremath{-}4}\char21{}{10}^{\ensuremath{-}3}$.