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We report the first measurement of the charm-mixing parameter $y_{CP}$ in$D^{0}$ decays to the $CP$-odd final state $K^{0}_{S}\omega$. The study usesthe full Belle $e^{+}e^-$ annihilation data sample of $976\rm~ fb^{-1}$ takenat or near the $\Upsilon(4S)$ centre-of-mass energy. We find $y_{CP} = (0.96\pm 0.91 \pm 0.61 {}^{+0.17}_{-0.00})\%$, where the first uncertainty isstatistical, the second is systematic due to event selection and background,and the last is due to possible presence of $CP$-even decays in the datasample.

Measurement of the charm-mixing parameter $y_{CP}$ in $D^{0}\to K^{0}_{S}\omega$ decays at Belle