Precision measurements of ${\sigma }_B(e^{+}{e}^{-}\to K_S^0{K}^{\pm }{\pi }^{\mp })$ 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 $e^{+}{e}^{-}\to K_S^0{K}^{\pm }{\pi }^{\mp }$ Born cross sections at center-of-mass energies between 3.8 and 4.6,GeV, corresponding to a luminosity of about 5.0~fb${}^{-1}$. The results are compatible with the BABAR measurements, but with the precision significantly improved. A simple $1\mathrm{/}{s}^n$ 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 charmonium-like state.