Effects of anomalousZ 0 decays on neutrino counting near theZ 0 peak

We study the implications of the anomalousZ ⁰ decays on neutrino counting ine ⁺ e ^? collisions. The \(Z^0 \to l\bar l\gamma \) vertex is parametrized by an effective Lagrangian,L _eff, satisfyingU(1)_em gauge invariance, CP and chirality conservation. The parameters ofL _eff are constrained by the ratio \(\Gamma (Z \to l\bar l\gamma )/\Gamma (Z \to l\bar l)\) , Bhabba scattering, and low energyv _µ e scattering data. We find that the effect on neutrino counting can be significant but depends on the magnitude and relative signs of the parameters inL _eff. We also find that accurate measurements of the cross-section \(\sigma (e^ + e^ - \to v\bar v\gamma )\) at theZ ⁰ peak can be used as a sensitive test for new physics.