Hadron-in-jet production at partonic threshold

TL;DR

This paper develops a SCET-based formalism for joint resummation of threshold and jet radius logarithms in hadron-in-jet production, showing significant impact on cross section predictions and scale dependence.

Contribution

It introduces a novel factorization approach within SCET for joint resummation at NLL' accuracy, including non-global logarithms, enhancing theoretical predictions for hadron-in-jet processes.

Findings

Threshold resummation significantly increases cross section predictions.

Resummation reduces QCD scale dependence, improving theoretical reliability.

The formalism enables better extraction of fragmentation functions from jet data.

Abstract

We consider the longitudinal momentum distribution of hadrons inside jets in proton-proton collisions. At partonic threshold large double logarithmic corrections arise which need to be resummed to all orders. We develop a factorization formalism within SCET that allows for the joint resummation of threshold and jet radius logarithms. We achieve next-to-leading logarithmic NLL$'$ accuracy by including non-global logarithms in the leading-color approximation. Overall, we find that the threshold resummation leads to a sizable enhancement of the cross section and a reduced QCD scale dependence, suggesting that the all-order resummation can be important for the reliable extraction of fragmentation functions in global analyses when jet substructure data is included.