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Complementary $CP$ violation induced by $T$-odd and $T$-even correlations
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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.
Forward citations
Cited by 4 Pith papers
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$CP$ asymmetries in the $\Lambda_c^+\to pK^0_S$ and $\Xi^+_c\to \Sigma^+K^0_S$ decays
The Xi_c+ to Sigma+ K0_S decay can show an interference-induced CP asymmetry up to about 10^-3, several times larger than in D meson decays.
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Full analysis of CP violation induced by the decay angular correlations in four-body cascade decays of heavy hadrons
The paper claims that published LHCb angular data for B0 to p pbar K+ pi- contain CP-violating angular asymmetries of about 10 percent, with statistical significances near five sigma.
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CP violation observables in baryon decays
Time-reversal-odd CP observables in baryon decays are proportional to the cosine of strong-phase differences, so they complement sine-suppressed direct CP asymmetries.
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New horizon in particle physics: first observation of CP violation in baryon decays
A commentary noting that LHCb's 6-sigma baryon CP violation measurement in Lambda_b to pK-pi+pi- matches a 5.6-5.9% prediction from N-pi rescattering, but contributing no new analysis.
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