$B_c$, $B_s$ and $D_s$ production at lepton-hadron colliders

Within the framework of nonrelativistic quantum chromodynamics, this study examines the electroproduction processes $e+p\to e+B_c+\bar{c}+b$, $e+p\to e+B_s+\bar{s}+b$, and $e+p\to e+D_s+\bar{c}+s$ at lepton-hadron colliders. The differential cross sections in $\cos \theta$ and $p_T^2$ at HERA are presented. The results indicate that the production of $B_c$ is feasible at the EIC, whereas it is not at HERA. The cross sections for $B_s$ and $D_s$ are notably significant at HERA, yet they exhibit sensitivity to variations in quark mass and renormalization scale.