Complementary $CP$ violation induced by $T$-odd and $T$-even correlations

TL;DR

This paper introduces a new method to simultaneously measure $CP$ violation caused by $T$-odd and $T$-even correlations, reducing dependence on strong phases and enhancing detection potential in baryon decays.

Contribution

It proposes a novel approach to measure complementary $CP$ violation observables from $T$-odd and $T$-even correlations, improving sensitivity and reducing strong phase dependence.

Findings

Identifies conditions for $T$-odd and $T$-even correlations to produce cosine and sine phase dependencies.

Shows that these observables depend on the same strong phases within the helicity amplitude scheme.

Suggests potential to discover $CP$ violation in baryon decays not yet observed.

Abstract

In this letter, we propose a novel approach to concurrently measure the complementary $CP$ violation observables induced by $T$-odd correlations and their corresponding $T$-even counterparts, where $T$ represents time reversal. Our analysis demonstrates that $T$-odd and -even correlations, when satisfying specific conditions, result in cosine and sine strong phase dependencies of the corresponding $CP$ violation, respectively. Additionally, we identify pairs of these $CP$ violation observables in hadron decays depend on precisely the same strong phases within the helicity amplitude scheme. This complementarity effectively reduces the strong phase reliance in the study of $CP$ violation, while also mitigating the risk of suppressed $CP$ violation due to exceptionally small strong phases. Furthermore, our proposal holds potential for uncovering $CP$ violation in baryon decays that have not yet been observed in experiments.