Measurement of the time-integrated $CP$ asymmetry in $D^0\toπ^0π^0$ decays at Belle II

Abstract

We measure the time-integrated $CP$ asymmetry, $A_{CP}$, in $D^0\toπ^0π^0$ decays reconstructed in $e^+e^-\to c\bar{c}$ events collected by Belle II during 2019--2022. The data corresponds to an integrated luminosity of 428$\mathrm{fb}^{-1}$. The $D^0$ decays are required to originate from the flavor-conserving $D^{*+} \to D^0 π^+$ decay to determine the charm flavor at production time. Control samples of $D^0\to K^- π^+$ decays, with or without an associated pion from a $D^{*+}$ decay, are used to correct for detection asymmetries. The result, $A_{CP}(D^0\toπ^0π^0) = (0.30\pm 0.72\pm 0.20)\%$, where the first uncertainty is statistical and the second systematic, is consistent with $CP$ symmetry.