Measurements of the CP-even Fractions of D^0→π^+π^-π^0 and D^0→ K^+K^-π^0 at BESIII

The CP-even fractions (F_+) of the decays D^0→π^+π^-π^0 and D^0→ K^+K^-π^0 are measured with a quantum-correlated ψ(3770)→ DD̅ data sample collected by the BESIII experiment corresponding to an integrated luminosity of 7.93 fb^-1. The results are F_+^π^+π^-π^0=0.9406±0.0036±0.0021 and F_+^K^+K^-π^0=0.631±0.014±0.011, where the first uncertainties are statistical and the second systematic. These measurements are consistent with the previous determinations, and the uncertainties for F_+^π^+π^-π^0 and F_+^K^+K^-π^0 are reduced by factors of 3.9 and 2.6, respectively. The reported results provide important inputs for the precise measurement of the angle γ of the Cabibbo-Kobayashi-Maskawa matrix and indirect CP violation in charm mixing.