Probing the anomalous triple gauge boson couplings in $e^{+}{e}^{-}\to W^{+}{W}^{-}$ using $W$ polarizations with polarized beams

Abstract

We study the anomalous $W^{+}{W}^{-}V$ ($V=\gamma ,Z$) couplings in $e^{+}{e}^{-}\to W^{+}{W}^{-}$ using the complete set of polarization observables of $W$ boson with longitudinally polarized electron ($e^{-}$) and positron ($e^{+}$) beams. For the effective $W^{+}{W}^{-}V$ couplings, we use the most general Lorentz invariant form factor parametrization as well as $SU(2)\times U(1)$ invariant dimension-$6$ effective operators. We estimate simultaneous limits on the anomalous couplings using the Markov-Chain--Monte-Carlo (MCMC) method for an $e^{+}{e}^{-}$ collider running at center of mass energy of $\sqrt{s}=500$ GeV and the integrated luminosity of $\mathcal{L}=100$ fb${}^{-1}$, $3.2$ ab${}^{-1}$ and $4$ ab${}^{-1}$. The best limits on the anomalous couplings are obtained for $e^{-}$ and $e^{+}$ polarization being $(\pm 0.8,\mp 0.6)$ for both $100$ fb${}^{-1}$ and $3.2$ ab${}^{-1}$ of luminosity.

Comments: 20 pages, 13 figures, 6 tables. This version supersedes arXiv:1711.04551