Production of doubly heavy-flavored hadrons at $e^+e^-$ colliders

TL;DR

This paper compares two theoretical approaches to predict the production of doubly heavy-flavored hadrons at $e^+e^-$ colliders, highlighting conditions under which detailed studies are feasible, especially at $Z$-pole energies with high luminosity.

Contribution

It provides a detailed comparison of leading order QCD and leading logarithm fragmentation calculations for doubly heavy hadron production at $e^+e^-$ colliders, including angular and energy distribution analyses.

Findings

Production is optimal at $Z$-pole energies.

High luminosity colliders enable detailed studies.

Approach differences impact distribution predictions.

Abstract

Production of the doubly heavy-flavored hadrons ($B_c$ meson, doubly heavy baryons $\Xi_{cc}$, $\Xi_{bc}$, $\Xi_{bb}$, their excited states and antiparticles of them as well) at $e^+e^-$ colliders is investigated under two different approaches: $LO$ (leading order QCD complete calculation) and $LL$ (leading logarithm fragmentation calculation). The results for the production obtained by the approaches $LO$ and $LL$, including the angle distributions of the produced hadrons with unpolarized and polarized incoming beams, the behaviors on the energy fraction of the produced doubly heavy hadron and comparisons between the two approaches' results, are presented in terms of tables and figures. Thus characteristics of the production and uncertainties of the approaches are shown precisely, and it is concluded that only if the colliders run at the eneries around $Z$-pole (which may be called as $Z$-factories) and additionally the luminosity of the colliders is as high as possible then to study the doubly heavy hadrons thoroughly is accessible.