Constraining anomalous gauge boson couplings in $e^{+}{e}^{-}\to W^{+}{W}^{-}$ using polarization asymmetries with polarized beams

We study the anomalous $W^{+}{W}^{-}V$ ($V=\gamma ,Z$) couplings in $e^+e^-\to W^+W^-$usingthecompletesetofpolarizationobservablesof$W$ boson with longitudinally polarized beams. We use most general Lorentz invariant form factors parametrization as well as $SU(2)\times U(1)$ invariant dimension $6$ effective operators for the effective $W^{+}{W}^{-}V$ couplings. We estimate simultaneous limits on the anomalous couplings in both the parametrizations using cross section, forward backward asymmetry and polarization observables of $W$ boson with different kinematical cuts using Markov-Chain–Monte-Carlo (MCMC) method for an $e^{+}{e}^{-}$ collider running at centre of mass energy of $\sqrt{s}=500$ GeV and $\mathcal{L}=100$ fb${}^{-1}$. The best limits on form factors are obtained to be $1\sim 5\times {10}^{-2}$ for $e^{-}$ and $e^{+}$ polarization being $(+0.4,-0.4)$. For operator’s coefficients, the best limits are obtained to be $1\sim 16$ TeV${}^{-2}$.