Infrared structure of e+e−→2 jets at NNLO

2004/03/31 by A. Gehrmann–De Ridder, A. Gehrmann-De Ridder, T. Gehrmann +1 · 189 citations
Mathematics · Physics and Astronomy · #Algorithm #Annihilation #Factorization #Gluon #Hadron #High-Energy Particle Collisions Research #Infrared #Jet (fluid) #Mathematics #Observable #Particle physics #Particle physics theoretical and experimental studies #Parton #Phase space #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2004.05.017

published in Nuclear Physics B 691(1-2), 195-222 (Elsevier BV) · 21 pages, LaTeX, misprints in formulae corrected, minor changes to text

arxiv created 2004/04/06 · openalex publication_date 2004/05/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The production of two jets is the simplest exclusive quantum chromodynamics process in electron-positron annihilation. Using this process, we examine the structure of next-to-next-to-leading order (NNLO) corrections to jet production observables. We derive a subtraction formalism including double real radiation at tree level and single real radiation at one loop. For two-jet production, these subtraction terms coincide with the full matrix elements, thus highlighting the phase space structure of the subtraction procedure. We then analytically compute the infrared singularities arising from each partonic channel. For the purely virtual (two-parton) NNLO corrections, these take the well known form predicted by Catani's infrared factorization formula. We demonstrate that individual terms in the infrared factorization formula can be identified with infrared singular terms from three- and four-parton final states, leaving only single poles and a contribution from the one-loop soft gluon current, which subsequently cancels between the three- and four-parton final states. Summing over all different final states, we observe an explicit cancellation of all infrared poles and recover the known two-loop correction to the hadronic R-ratio.

Citations

• A complete (ααs)calculation of the photon + 1 jet rate in e+ e− annihilation
• A new method for real radiation at next-to-next-to-leading order
• Higgs boson production at hadron colliders in NNLO QCD
• Power corrections to event shape distributions
• Asymptotic freedom in parton language
• An automatized algorithm to compute infrared divergent multi-loop integrals
• A numerical method for NNLO calculations
• Integration by parts: The algorithm to calculate β-functions in 4 loops
• One-loop radiative corrections to the helicity amplitudes of QCD processes involving four quarks and one gluon
• On Nielsen's generalized polylogarithms and their numerical calculation
• The two-loop QCD matrix element for e+e−→3 jets
• High-energy approximation of one-loop Feynman integrals
• Differential Equations for Two-Loop Four-Point Functions
• Theoretical uncertainties on αsfrom event-shape variables in e+e−annihilations
• Two-loop QCD corrections to gluon–gluon scattering
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Degenerate Systems and Mass Singularities
• Subtraction terms for hadronic production processes at next-to-next-to-leading order
• Numerical evaluation of two-dimensional harmonic polylogarithms
• Radiative corrections to the photon + 1 jet rate at LEP
• Soft-gluon resummation for Higgs boson production at hadron colliders
• Calculating Scattering Amplitudes Efficiently
• A study of the energy evolution of event shape distributions and their means with the DELPHI detector at LEP
• Multiple singular emission in gauge theories
• Collinear factorization and splitting functions for next-to-next-to-leading order QCD calculations
• Discovery of Three-Jet Events and a Test of Quantum Chromodynamics at PETRA
• The electron energy spectrum in muon decay through 𝒪(α2)
• Harmonic Polylogarithms
• The one-loop QCD corrections for

Cited by

• Infrared structure of e+e−→3 jets at NNLO - the CF2 contribution
• Electroweak corrections to hadronic event shapes and jet production in e+e− annihilation
• A numerical approach to the double real radiation part of e+e−→3 jets at NNLO
• NNLO QCD corrections to event shape variables in electron positron annihilation
• Two-loop quark and gluon form factors in dimensional regularisation
• NNLO predictions with nonlocal subtractions and fiducial power corrections in GENEVA