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It is shown that a certain angular asymmetry of charged leptons produced inthe decay of $Z$ in the process $e^+e^- \to ZH$, related to a tensorpolarization component of the $Z$, can be used to constrain the anomaloustriple-Higgs coupling, independent of the other anomalous couplings like the$ZZH$ coupling which dominate at tree level. This is because the angularasymmetry is odd under na\" ive time reversal, and hence dependent onloop-level contributions. At a future $e^+e^-$ collider like the InternationalLinear Collider (ILC), for example, a limit of about $3.4$ might be placed onthe ratio of the actual triple Higgs coupling to that predicted in the standardmodel for a centre-of-mass energy of 500 GeV and an integrated luminosity of 30fb$^{-1}$ with electron and positron beams having longitudinal polarization of$-80\%$ and $+30\%$, respectively.

Use of $Z$ polarization in $e^+e^- \to ZH$ to measure the triple-Higgs coupling