Abstract
In this paper we study the electroproduction of open heavy flavor $D$- and $B$-mesons in the kinematics of future $ep$ colliders, such as the Electron Ion Collider (EIC), the Large Hadron electron Collider (LHeC) and the Future Circular Collider (FCC-he). We study in detail the dependence of the cross-sections on multiplicity of co-produced hadrons, in view of its possible sensitivity to contributions from multipomeron contributions, and discuss different observables which might be used for its study. According to our theoretical expectations, in $ep$ collisions the multipomeron contributions are small in the EIC kinematics, although they might be sizable at LHeC and FCC-he. We also provide theoretical predictions for the production cross-sections of heavy mesons in the kinematics of all the above-mentioned $ep$ colliders.
Highlights
Because of the high luminosity of the forthcoming LHC upgrade (HL-LHC) and future electron-proton colliders, many rare processes recently got renewed theoretical interest
For a long time, the experimental study of such processes was limited by the insufficient luminosity of existing highenergy experiments
At RHIC and LHC, thanks to the very large luminosity, the multiplicity dependence of hadroproduction processes has been studied in great detail, and various elaborate observables have been measured experimentally, extending our understanding of the mechanisms of these processes
Summary
Because of the high luminosity of the forthcoming LHC upgrade (HL-LHC) and future electron-proton colliders, many rare processes recently got renewed theoretical interest. The appropriate description of such a process is the color dipole framework ( known as CGC/Sat) [9,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55] This approach has been successfully applied to the phenomenological description of both hadron-hadron and lepton-hadron collisions [56,57,58,59,60,61,62,63] and allows a straightforward extension for the description of high-multiplicity events [10,11,39,64,65,66,67,68,69,70].
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