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NLO inclusive jet production in $k_T$--factorization

J. Bartels, A. Sabio Vera, F. Schwennsen

TL;DR

The paper develops a rigorous NLO treatment of inclusive jet production within the high-energy BFKL framework using $k_T$-factorization. It deconstructs the NLO BFKL kernel to define a finite NLO jet vertex, introducing a jet algorithm and a clear separation between multiregge and quasi-multi-Regge kinematics via the scale $s_\Lambda$, while formulating a NLO unintegrated gluon density. The authors provide explicit expressions for the NLO jet vertex, analyze IR cancellations, and apply the formalism to both symmetric ${\gamma}^*{\gamma}^*$ scattering and hadron-hadron collisions, laying the groundwork for numerical studies and LHC phenomenology. This work enables NLO-accurate jet predictions in the small-$x$ regime and bridges the gap between theoretical BFKL developments and practical jet phenomenology with $k_T$-factorization.

Abstract

The inclusive production of jets in the central region of rapidity is studied in $k_T$-factorization at next-to-leading order (NLO) in QCD perturbation theory. Calculations are performed in the Regge limit making use of the NLO BFKL results. A jet cone definition is introduced and a proper phase--space separation into multi-Regge and quasi-multi-Regge kinematic regions is carried out. Two situations are discussed: scattering of highly virtual photons, which requires a symmetric energy scale to separate the impact factors from the gluon Green's function, and hadron-hadron collisions, where a non--symmetric scale choice is needed.

NLO inclusive jet production in $k_T$--factorization

TL;DR

The paper develops a rigorous NLO treatment of inclusive jet production within the high-energy BFKL framework using -factorization. It deconstructs the NLO BFKL kernel to define a finite NLO jet vertex, introducing a jet algorithm and a clear separation between multiregge and quasi-multi-Regge kinematics via the scale , while formulating a NLO unintegrated gluon density. The authors provide explicit expressions for the NLO jet vertex, analyze IR cancellations, and apply the formalism to both symmetric scattering and hadron-hadron collisions, laying the groundwork for numerical studies and LHC phenomenology. This work enables NLO-accurate jet predictions in the small- regime and bridges the gap between theoretical BFKL developments and practical jet phenomenology with -factorization.

Abstract

The inclusive production of jets in the central region of rapidity is studied in -factorization at next-to-leading order (NLO) in QCD perturbation theory. Calculations are performed in the Regge limit making use of the NLO BFKL results. A jet cone definition is introduced and a proper phase--space separation into multi-Regge and quasi-multi-Regge kinematic regions is carried out. Two situations are discussed: scattering of highly virtual photons, which requires a symmetric energy scale to separate the impact factors from the gluon Green's function, and hadron-hadron collisions, where a non--symmetric scale choice is needed.

Paper Structure

This paper contains 11 sections, 102 equations, 5 figures.

Table of Contents

  1. Introduction
  2. General structure of BFKL cross sections
  3. Different contributions at NLO
  4. Inclusive jet production at LO
  5. Inclusive jet production at NLO
  6. The NLO jet vertex
  7. Production of jets in $\gamma^*\gamma^*$ scattering
  8. The unintegrated gluon density and jet production in hadron--hadron collisions
  9. Cancellation of divergences and a closer look at the separation between MRK and QMRK
  10. Conclusions
  11. Alternative subtraction term

Figures (5)

  • Figure 1: Notation for particle production in MRK.
  • Figure 2: Contributions to real emission kernel at LO (a) and NLO (b-e).
  • Figure 3: Total cross section and inclusive one jet production in the BFKL approach.
  • Figure 4: Momenta for $2 \rightarrow 2 + (n-1) + {\rm jet}$ amplitude in the symmetric configuration with MRK. The produced jet has rapidity $y_J=y_j$ and transverse momentum ${\bf k}_J={\bf k}_j$.
  • Figure 5: Momenta for $2 \rightarrow 2 + (n-1) + {\rm jet}$ amplitude in the asymmetric configuration with $k_t$--ordered MRK.