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

TL;DR

This paper analyzes the production of $B_c$, $B_s$, and $D_s$ mesons in lepton-hadron collisions using nonrelativistic QCD, providing differential cross sections and assessing feasibility at different colliders.

Contribution

It offers the first detailed calculation of these meson production processes at lepton-hadron colliders within the nonrelativistic QCD framework, including differential cross sections.

Findings

$B_c$ production is feasible at EIC but not at HERA.

$B_s$ and $D_s$ production cross sections are significant at HERA.

Production cross sections are sensitive to quark mass and renormalization scale variations.

Abstract

Within the framework of nonrelativistic quantum chromodynamics, this study examines the electroproduction processes $e+p\to e+B_c+\overline{c}+b$, $e+p\to e+B_s+\overline{s}+b$, and $e+p\to e+D_s+\overline{c}+s$ 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.