Abstract

We propose to search for $CP$ violation through the twofold angular distributions in the four-body decays of bottom and charmed hadrons. The two polar angles in the twofold angular distributions are correlated, to which the interferences of intermediate resonances are one important origin. These interferences will leave tracks in the twofold angular distributions, with which the $CP$ violation can be studied. Special attention is paid to the case when all the intermediate resonances are different, which is unique to four-body decays. It is suggested to look for $CP$ violation in four-body decays such as ${\mathrm{\ensuremath{\Lambda}}}_{b}^{0}\ensuremath{\rightarrow}p{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ through the analysis of the twofold angular distributions. The method proposed in this paper is also widely applicable to other four-body decays processes.

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