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The NLO Jet Vertex for Mueller-Navelet and Forward Jets: the Gluon Part

J. Bartels, D. Colferai, G. P. Vacca

TL;DR

The paper completes the analytic calculation of the NLO corrections to the gluon-initiated jet vertex within the high-energy factorization framework used to describe Mueller-Navelet jets and forward jets in DIS. It develops a subtraction-based method to separate collinear divergences that are absorbed into PDFs from the high-energy, central-rapidity radiation described by the BFKL kernel, and identifies the full NLO correction V_g^(1) to the jet vertex. The work also clarifies the consistency between jet vertices and gluon impact factors and discusses the energy-scale choices that govern the LL/NLL structure, laying groundwork for all-order resummations and practical phenomenology. It concludes with a roadmap toward numerical implementation, including jet algorithms and experimental cuts, to enable precise NLO BFKL phenomenology at hadron colliders and ep scattering.

Abstract

In this paper we complete our calculation of the NLO jet vertex which is part of the cross section formulae for the production of Mueller Navelet jets at hadron hadron colliders and of forward jets in deep inelastic electron proton scattering.

The NLO Jet Vertex for Mueller-Navelet and Forward Jets: the Gluon Part

TL;DR

The paper completes the analytic calculation of the NLO corrections to the gluon-initiated jet vertex within the high-energy factorization framework used to describe Mueller-Navelet jets and forward jets in DIS. It develops a subtraction-based method to separate collinear divergences that are absorbed into PDFs from the high-energy, central-rapidity radiation described by the BFKL kernel, and identifies the full NLO correction V_g^(1) to the jet vertex. The work also clarifies the consistency between jet vertices and gluon impact factors and discusses the energy-scale choices that govern the LL/NLL structure, laying groundwork for all-order resummations and practical phenomenology. It concludes with a roadmap toward numerical implementation, including jet algorithms and experimental cuts, to enable precise NLO BFKL phenomenology at hadron colliders and ep scattering.

Abstract

In this paper we complete our calculation of the NLO jet vertex which is part of the cross section formulae for the production of Mueller Navelet jets at hadron hadron colliders and of forward jets in deep inelastic electron proton scattering.

Paper Structure

This paper contains 3 sections, 3 equations, 1 figure.

Table of Contents

  1. Introduction
  2. High energy factorization
  3. General framework

Figures (1)

  • Figure 1: Diagrammatic representation of the high energy process studied in this paper. $H$ is the incoming hadron providing a gluon ${\mathsf g}$ with distribution density $f$; ${\mathsf q}$ is the other incoming particle which will be taken to be a quark; $J$ denotes the jet produced in the forward direction (w.r.t $H$) and $i$ is the generic label for outgoing particles.