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Large CP violation in charmed baryon decays

Authors :
He, Xiao-Gang
Liu, Chia-Wei
Publication Year :
2024

Abstract

We present novel and comprehensive numerical predictions of CP violation in antitriplet charmed baryon decays, which are the first of their kind. Larger-than-expected CP violations are found in the framework of final state re-scattering, similar in magnitude to those in $D^0 \to \pi^+\pi^- ,K^+K^-$. This makes it promising to observe CP violation for the first time in baryon decays and provides valuable tests for the Standard Model. Utilizing the $SU(3)_F$ symmetry and final state re-scattering, we relate the CKM-suppressed amplitudes to the leading ones, which are proportional to $\lambda_b$ and $\lambda_d$, respectively, with $\lambda_q = V_{uq}V^*_{cq}$. We find that re-scattering effects generate previously undetermined CKM-suppressed amplitudes and enhance CP violation by an order of magnitude, with $A_{CP} (\Xi_c^0 \to p K^-) - A_{CP} (\Xi_c^0 \to \Sigma^+ \pi^-)$ reaching a value as large as $-3.68 \cdot 10^{-3}$. This makes it promising to observe CP violation for the first time in baryon decays.<br />Comment: 5 pages, 3 figures; references and appendices added

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2404.19166
Document Type :
Working Paper