Measurement of the Born Cross Sections for $e^+e^-to D_s^+ D_{s1}(2460)^- +c.c.$ and $e^+e^-to D_s^{ast +} D_{s1}(2460)^- +c.c.$

The processes $e^+e^-to D_s^+ D_{s1}(2460)^- +c.c.$ and $e^+e^-to D_s^{ast +} D_{s1}(2460)^- +c.c.$ are studied for the first time using data samples collected with the BESIII detector at the BEPCII collider. The Born cross sections of $e^+e^-to D_s^+ D_{s1}(2460)^- +c.c.$ at nine center-of-mass energies between 4.467,GeV and 4.600,GeV and those of $e^+e^-to D_s^{ast +} D_{s1}(2460)^- +c.c.$ at ${sqrt s}=$ 4.590,GeV and 4.600,GeV are measured. No obvious charmonium or charmonium-like structure is seen in the measured cross sections.