Renormalization Group Flows for Track Function Moments

Understand

Track functions describe the collective effect of the fragmentation of quarks and gluons into charged hadrons, making them a key ingredient for jet substructure measurements at hadron colliders, where track-based measurements offer superior angular resolution.

• The first moment of the track function, describing the average energy deposited in charged particles, is a simple and well-studied object.
• However, measurements of higher-point correlations of energy flow necessitate a characterization of fluctuations in the hadronization process, described theoretically by higher moments of the track function.
• In this paper we derive the structure of the renormalization group (RG) evolution equations for track function moments.