Probing hyperon electric dipole moments with a full angular analysis
J. Fu, Hai-Bo Li, Jian-Peng Wang, Fu-Sheng Yu, Jianyu Zhang
Abstract
The electric dipole moment (EDM) of elementary particles, arising from flavor-diagonal $CP$ violation, serves as a powerful probe for new physics beyond the Standard Model and holds the potential to provide novel insights in unraveling the puzzle of the matter-dominated Universe. Hyperon EDM is a largely unexplored territory. In this paper, we present a comprehensive angular analysis that focuses on entangled hyperon-antihyperon pairs in $J/\ensuremath{\psi}$ decays for the indirect extraction of hyperon EDM. The statistical sensitivities are investigated for BESIII and the proposed Super Tau-Charm Facility (STCF). Leveraging the statistics from the BESIII experiment, the estimated sensitivity for $\mathrm{\ensuremath{\Lambda}}$ EDM can reach an impressive level of ${10}^{\ensuremath{-}19}\text{ }\text{ }e\text{ }\mathrm{cm}$, achieving a 3-orders-of-magnitude improvement over the only existing measurement in a fixed-target experiment at Fermilab with similar statistics. The estimated sensitivities for the ${\mathrm{\ensuremath{\Sigma}}}^{+}$, ${\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}$, and ${\mathrm{\ensuremath{\Xi}}}^{0}$ hyperons at the same level of ${10}^{\ensuremath{-}19}\text{ }\text{ }e\text{ }\mathrm{cm}$ will mark the first-ever achievement and the latter two will be the first exploration of hyperons with two strange valence quarks. The EDM measurements for hyperons conducted at the BESIII experiment will be a significant milestone and serve as a litmus test for new physics such as supersymmetry and the left-right symmetrical model. Furthermore, at the STCF experiment, the sensitivity of hyperon EDM measurements can be further enhanced by 2 orders of magnitude. Additionally, this angular analysis enables the determination of $CP$ violation in hyperon decays, the effective weak mixing angle, and beam polarization.