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We present high-precision predictions for Z boson-pair production viaelectron-positron collisions by taking into account a full set of one-looporder scattering amplitudes, i.e., electroweak (EW) corrections together withsoft and hard QED radiation. We provide a detailed numerical evaluation, fromfull EW corrections to pure QED corrections, specifically focusing on theeffect of initial beam polarization on production rate. The left-rightasymmetry and angular distributions are also presented. The radiativecorrections are largely affected by initial beam polarizations. We get animprovement as around three times with completely polarized beams of $e^-_L$and $e^+_R$. We find that the radiative corrections can sizably modify theproduction rate, typically yielding a total relative correction up to a fewtens of a percent. This imply that the full EW corrections are required for$e^- e^+ \to ZZ$ to match with percent level accuracy.

Beam polarization effects on Z-boson pair production at electron-positron colliders: a full one-loop analysis