Measurements of $e^+e^- \to K_{S}^{0}K^{\pm}π^{\mp}π^0$ and $K_{S}^{0}K^{\pm}π^{\mp}η$ at center-of-mass energies from $3.90$ to $4.60~\mathrm{GeV}$

Abstract: Using $5.2 \ \mathrm{fb}<sup>{-1}$ $e⁺ e<sup>-$ annihilation data samples collected with the BESIII detector, we measure the cross sections of $$e^{+e^-} \to K_S⁰ K^\pm \pi^\mp \pi<sup>0$$ and $K_{S}<sup>{0}K<sup>{\pm}\pi<sup>{\mp}\eta$ at center-of-mass energies from $3.90$ to $4.60$ GeV. In addition, we search for the charmonium-like resonance $Y(4260)$ decays into $K_{S}<sup>{0}K<sup>{\pm}\pi<sup>{\mp}\pi<sup>0$ and $K_{S}<sup>{0}K<sup>{\pm}\pi<sup>{\mp}\eta$, and $Z_c<sup>{0,\pm}(3900)$ decays into $K_{S}<sup>{0}K<sup>{\pm}\pi<sup>{\mp,0}$ and $K_{S}<sup>{0}K<sup>{\pm}\eta$. Corresponding upper limits are provided since no clear signal is observed.