Searching for $C\!P$ violation through two-dimensional angular distributions in four-body decays of bottom and charmed baryons

TL;DR

This paper proposes a method to detect $C ext{P}$ violation in four-body decays of bottom and charmed hadrons by analyzing two-dimensional angular distributions, focusing on resonance interferences unique to four-body decays.

Contribution

It introduces a novel approach using two-fold angular distributions to study $C ext{P}$ violation, especially when all intermediate resonances differ, applicable to various four-body decay processes.

Findings

Method effectively identifies $C ext{P}$ violation signatures.

Applicable to multiple four-body decay channels.

Highlights the importance of resonance interferences.

Abstract

It is proposed to search for $C\!P$ violation through the two-fold angular distributions in the four-body decays of bottom and charmed hadrons. The two polar angles in the two-fold angular distributions are correlated, to which the interferences of intermediate resonances are one important origin. These interferences will leave tracks in the two-fold angular distributions, with which the $C\!P$ 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 $C\!P$ violation in four-body decays such as $\Lambda_b^0\to p \pi^-\pi^+\pi^-$ through the analysis of the two-fold angular distributions. The method proposed in this paper is also widely applicable to other four-body decays processes.