Precision measurements of the ${e}^{+}{e}^{-}\to {K}_{S}^{0}{K}^{±}{\pi }^{\mp }$ Born cross sections at center-of-mass energies between 3.8 and 4.6 GeV

Using data samples collected by the BESIII detector operating at the BEPCII storage ring, we measure the ${e}^{+}{e}^{-}\to {K}_{S}^{0}{K}^{±}{\pi }^{\mp }$ Born cross sections at center-of-mass energies between 3.8 and 4.6 GeV, corresponding to a luminosity of about $5.0\text{}\text{}{\mathrm{fb}}^{-1}$. The results are compatible with the BABAR measurements, but with the precision significantly improved. A simple $1/{s}^{n}$ dependence for the continuum process can describe the measured cross sections, but a better fit is obtained by an additional resonance near 4.2 GeV, which could be an excited charmonium or a charmoniumlike state.