CP Violation in Hyperon Decays

In this talk I review theoretical predictions for CP violation in non-leptonic hyperon decays in the Standard Model and models beyond. In the Standard Model the CP violating observable $A$ in the polarization asymmetries of $\mathrm{\Lambda }\to p{\pi }^{-}$ and ${\mathrm{\Xi }}^{-}\to \mathrm{\Lambda }{\pi }^{-}$ decays are predicted to be in the ranges $(-0.61\sim 6.8)\times {10}^{-5}$ and $-(0.1\sim 1)\times 10^{-5}$,respectively\mathrm{.}Theserangesarebelowthesensitivityof$1.4\times 10^{-4}$for$A(\Lambda^0_-)+A(\Xi^0_-)$ for E871 experiment at Fermilab. When going beyond the SM, such as, Supersymmetric and Left-Right symmetric models, $A$ can be as large as ${10}^{-3}$ and a few times of ${10}^{-4}$, respectively. Studies of hyperon decays can provide important information about CP violation.