The Quark Jet Function for $k_T$-like Variables in NNLO QCD

TL;DR

This paper develops a method to compute the quark jet function at NNLO in QCD for $k_T$-like variables, enabling precise modeling of jet energy flow in multi-jet processes.

Contribution

It introduces a general approach for calculating the quark jet function at NNLO for transverse-momentum-like observables in multi-jet events.

Findings

Explicit NNLO results for a $y_{23}$ variant in different schemes.

Regulation of rapidity divergences using a time-like auxiliary vector.

Method applicable to a class of $k_T$-like jet resolution variables.

Abstract

The precise description of jet processes requires observables capable of efficiently capturing the dynamics of the energy flow in hadronic final states. We consider a class of tranverse-momentum like resolution variables that smoothly describe the $n+1$ to $n$ jet transition in multi-jet processes. We discuss a general method for the computation of the corresponding quark jet function at next-to-next-to-leading order in perturbative QCD. Rapidity divergences are regulated by using a time-like auxiliary vector. We present explicit results for a variant of $y_{23}$ in the $E$-scheme and in the WTA scheme.