Exploring slicing variables for jet processes

TL;DR

This paper introduces a general slicing scheme for jet processes in hadron colliders, focusing on two new observables, and provides NLO computations and analysis of their behavior, including multi-jet production.

Contribution

It develops a unified slicing framework for jet processes and introduces two novel jet resolution variables with explicit NLO calculations.

Findings

Explicit NLO calculations for the new observables

Analysis of variable behavior at small slicing parameters

Results for multi-jet hadroproduction using $k_{T}^{ ext{ness}}$

Abstract

We consider the class of inclusive hadron collider processes in which one or more energetic jets are produced, possibly accompanied by colourless particles. We provide a general formulation of a slicing scheme for this class of processes, by identifying the various contributions that need to be computed up to next-to-leading order (NLO) in QCD perturbation theory. We focus on two novel observables, the one-jet resolution variable $\Delta E_t$ and the $n$-jet resolution variable $k_{T}^{\mathrm{ness}}$, and explicitly compute all the ingredients needed to carry out NLO computations using these variables. We contrast the behaviour of these variables when the slicing parameter becomes small. In the case of $k_{T}^{\mathrm{ness}}$ we also present results for the hadroproduction of multiple jets.