Localized CP violation driven by cross-channel interference between $\overline{K}_0^*(1430)^0$ and $ρ(770)^0$ in $B^{\pm}\rightarrow K^{\pm}π^{+}π^{-}$ decays

For the charmless three-body decay $B^{\pm} \rightarrow K^{\pm} π^{+} π^{-}$, a CP asymmetry sign reversal typically occurs in the low-$m_{ππ}$ region. However, experimental data reveals a localized anomaly in the specific phase space region $0.4 \text{ GeV}^2 < m_{ππ}^2 < 0.8 \text{ GeV}^2$ and $1.