Search for CP Violations in the Production and Decay of the Hyperon-Antihyperon Pairs
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arXiv
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2025
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| _version_ | 1866910014839455744 |
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| author | Guo, Mengjiao Zhang, Zhe Ping, Ronggang Jiao, Jianbin |
| author_facet | Guo, Mengjiao Zhang, Zhe Ping, Ronggang Jiao, Jianbin |
| contents | This study introduces a complete joint angular distribution analysis for the process $e^{+}e^{-}\to J/ψ\to B(\to B_1π)\bar{B}(\to \bar{B}_1π)$ with polarized beams, where $B$ and $B_{1}$ are hyperons. We consider both transverse and longitudinal beam polarization and analyze $CP$ violation in the production and decay of hyperons. We present the complete Fisher information matrix for the sensitivities of the weak decay parameters $α_{-},~α_{+},~ϕ_Ξ$ and $\barϕ_Ξ$, the $P$-violating term $F_{A}$, and the EDM $d_{B}$ (derived from the $CP$-violating term $H_{T}$), under the BESIII and STCF statistics. We find that polarization enhances the sensitivity of the parameters. Specifically, longitudinal polarization provides a more significant improvement compared to transverse polarization, with the enhancement being more pronounced for single-step decays than for multistep decays. With the expected statistics from the BESIII experiment, the estimated EDM sensitivities for $Λ$ and $Σ^{+}$ are on the order of $10^{-19}~e~\rm cm$, while those for $Ξ^{-}$ and $Ξ^{0}$ are $10^{-18}~e~\rm cm$. The upcoming STCF experiment is expected to improve these estimates by $1-2$ orders of magnitude. Furthermore, $CP$ violation in hyperon decays originates from weak-phase differences among partial-wave amplitudes. Based on a refined isospin analysis, we emphasize the non-negligible contribution of $ΔI = 3/2$ amplitudes to $CP$ violation and advocate for increased theoretical attention to this aspect in future studies.. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20274 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Search for CP Violations in the Production and Decay of the Hyperon-Antihyperon Pairs Guo, Mengjiao Zhang, Zhe Ping, Ronggang Jiao, Jianbin High Energy Physics - Phenomenology This study introduces a complete joint angular distribution analysis for the process $e^{+}e^{-}\to J/ψ\to B(\to B_1π)\bar{B}(\to \bar{B}_1π)$ with polarized beams, where $B$ and $B_{1}$ are hyperons. We consider both transverse and longitudinal beam polarization and analyze $CP$ violation in the production and decay of hyperons. We present the complete Fisher information matrix for the sensitivities of the weak decay parameters $α_{-},~α_{+},~ϕ_Ξ$ and $\barϕ_Ξ$, the $P$-violating term $F_{A}$, and the EDM $d_{B}$ (derived from the $CP$-violating term $H_{T}$), under the BESIII and STCF statistics. We find that polarization enhances the sensitivity of the parameters. Specifically, longitudinal polarization provides a more significant improvement compared to transverse polarization, with the enhancement being more pronounced for single-step decays than for multistep decays. With the expected statistics from the BESIII experiment, the estimated EDM sensitivities for $Λ$ and $Σ^{+}$ are on the order of $10^{-19}~e~\rm cm$, while those for $Ξ^{-}$ and $Ξ^{0}$ are $10^{-18}~e~\rm cm$. The upcoming STCF experiment is expected to improve these estimates by $1-2$ orders of magnitude. Furthermore, $CP$ violation in hyperon decays originates from weak-phase differences among partial-wave amplitudes. Based on a refined isospin analysis, we emphasize the non-negligible contribution of $ΔI = 3/2$ amplitudes to $CP$ violation and advocate for increased theoretical attention to this aspect in future studies.. |
| title | Search for CP Violations in the Production and Decay of the Hyperon-Antihyperon Pairs |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2502.20274 |