Heavy Quark Jet Fragmentation

Understand

In this paper we study the fragmentation of a parton into a jet containing a heavy quark.

• When heavy quarks are involved in a jet, the quark mass can lead to a numerically significant correction to the jet cross section and its substructure.
• With this motivation, we calculated the heavy quark mass effects to next-to-leading order in $\alpha_s$ on the fragmentation functions to a jet (FFJs) and the jet fragmentation functions (JFFs), where the former describes fragmentation of parton into a jet and the latter describes fragmenting processes inside a jet.
• The finite size of the heavy quark mass does not change the ultraviolet behaviors, but it can give significant corrections to the finite contributions.