Sensitivity of polarizations and spin correlations of Z boson to anomalous neutral triple gauge couplings at lepton collider with polarized beams

We investigate the effects of anomalous neutral triple gauge couplings in $ZZ$ and Zγ production processes, followed by the leptonic decay of the Z boson, at a lepton collider with center-of-mass energy √s=250 GeV and polarized beams. We use an effective Lagrangian formalism to parametrize the anomalous couplings in terms of dimension-8 operators c_BW, cBW, cWW, and cBB, and study the sensitivity of observables such as cross section, polarization, and spin correlation as functions of these couplings. We perform a Bayesian statistical analysis using Markov Chain Monte Carlo methods to determine simultaneous limits on the anomalous couplings, taking into account various luminosities $L{∈}{0.1 {ab}^{{-}1},{{0ex}{0ex}}0.3 {ab}^{{-}1},1 {ab}^{{-}1},3 {ab}^{{-}1},10 {ab}^{{-}1}}$ and systematic uncertainties. We find that polarization and spin correlation observables significantly enhance the sensitivity to anomalous couplings, providing stringent constraints on these couplings.