Search for CP and $P$ violating pseudoscalar decays into $ππ$

Using a sample of $(225.2\pm 2.8)\times 10^6$ $J/ψ$ events collected with the Beijing Spectrometer (BESIII) at the Beijing Electron-Positron Collider, CP and $P$ violating decays of $η$, $η'$ and $\etac$ into $π^+π^-$ and $π^0 π^0$ are searched for in $\jpsi$ radiative decays. No significant $η$, $η'$ or $\etac$ signal is observed, and 90% confidence level upper limits of $\BR(η\to π^+π^-)<3.9\times 10^{-4}$, $\BR(η' \to π^+π^-)<5.5\times 10^{-5}$, $\BR(\etac \to π^+π^-)<1.3\times 10^{-4}$, $\BR(η\to π^0 π^0)<6.9\times 10^{-4}$, $\BR(η' \to π^0 π^0)<4.5\times 10^{-4}$ and $\BR(\etac \to π^0 π^0)<4.2\times 10^{-5}$ are obtained.

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