Infrared sensitivity of single jet inclusive production at hadron colliders

TL;DR

This paper investigates the infrared sensitivity of single jet inclusive production at hadron colliders, revealing how higher order effects influence the second jet's transverse momentum distribution and identifying optimal scale choices for stable perturbative predictions.

Contribution

It provides a detailed analysis of infrared sensitivities in NNLO QCD calculations for single jet inclusive observables and proposes the total partonic transverse energy as the optimal scale.

Findings

Large corrections in certain kinematic regions at NNLO

Significant scale ambiguities affecting predictions

Identification of $ ilde{H}_T$ as the optimal scale for stability

Abstract

Jet production at hadron colliders is a benchmark process to probe the dynamics of the strong interaction and the structure of the colliding hadrons. One of the most basic jet production observables is the single jet inclusive cross section, which is obtained by summing all jets that are observed in an event. Our recent computation of next-to-next-to-leading order (NNLO) QCD contributions to single jet inclusive observables uncovered large corrections in certain kinematical regions, which also resulted in a sizeable ambiguity on the appropriate choice of renormalization and factorization scales. We now perform a detailed investigation of the infrared sensitivity of the different ingredients to the single jet inclusive cross section. We show that the contribution from the second jet, ordered in transverse momentum $p_{T}$, in the event is particularly sensitive to higher order effects due to implicit restrictions on its kinematics. By investigating the second-jet transverse momentum distribution, we identify large-scale cancellations between different kinematical event configurations, which are aggravated by certain types of scale choice. Taking perturbative convergence and stability as selection criteria enables us to single out the total partonic transverse energy $\hat{H}_{T}$ and twice the individual jet transverse momentum $2\,p_{T}$ (with which $\hat{H}_{T}$ coincides in Born kinematics) as the most appropriate scales in the perturbative description of single jet inclusive production.