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

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

TL;DR

Addresses the need for a consistent NLO jet vertex within high-energy factorization for Mueller–Navelet and forward jets. The authors develop a factorized formalism and compute the quark-initiated jet vertex at order αs^3, detailing virtual and real corrections and separating collinear (PDF) from central-region gluon emissions. They show that the cross section factorizes into an upper-quark impact factor, a central LL gluon emission, and a lower-jet vertex, thus establishing the NLO jet vertex V_q^(1) and clarifying s0-dependence. This work provides a finite, numerically tractable expression suitable for Monte Carlo evaluation and sets the stage for the gluon-initiated vertex and full NLO BFKL analyses in follow-up work.

Abstract

We calculate the next-to-leading corrections to the jet vertex which is relevant for the Mueller-Navelet-jets production in p-pbar collisions and for the forward jet cross section in e-p collisions. In this first part we present the results of the vertex for an incoming quark. Particular emphasis is given to the separation of the collinear divergent part and the central region of the produced gluon.

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

TL;DR

Addresses the need for a consistent NLO jet vertex within high-energy factorization for Mueller–Navelet and forward jets. The authors develop a factorized formalism and compute the quark-initiated jet vertex at order αs^3, detailing virtual and real corrections and separating collinear (PDF) from central-region gluon emissions. They show that the cross section factorizes into an upper-quark impact factor, a central LL gluon emission, and a lower-jet vertex, thus establishing the NLO jet vertex V_q^(1) and clarifying s0-dependence. This work provides a finite, numerically tractable expression suitable for Monte Carlo evaluation and sets the stage for the gluon-initiated vertex and full NLO BFKL analyses in follow-up work.

Abstract

We calculate the next-to-leading corrections to the jet vertex which is relevant for the Mueller-Navelet-jets production in p-pbar collisions and for the forward jet cross section in e-p collisions. In this first part we present the results of the vertex for an incoming quark. Particular emphasis is given to the separation of the collinear divergent part and the central region of the produced gluon.

Paper Structure

This paper contains 3 sections, 10 equations, 2 figures.

Table of Contents

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

Figures (2)

  • Figure 1: Schematic diagrams representing the three processes searching for high energy QCD dynamics: (a) double DIS or $\gamma^* \gamma^*$ scattering; (b) DIS with forward jet; (c) hadron-hadron scattering with dijets or Mueller-Navelet jets.
  • Figure 2: Diagrammatic representation of the high energy process studied in this paper. $H$ is the incoming hadron providing parton $a$ with distribution density $f$; $b$ 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.