The infrared structure of e+ e- --> 3 jets at NNLO reloaded

Abstract

This paper gives detailed information on the structure of the infrared singularities for the process e+ e- --> 3 jets at next-to-next-to-leading order in perturbation theory. Particular emphasis is put on singularities associated to soft gluons. The knowledge of the singularity structure allows the construction of appropriate subtraction terms, which in turn can be implemented into a numerical Monte Carlo program.

59 pages, additional comments added, version to be published

References in corpus (86)

• A General Algorithm for Calculating Jet Cross Sections in NLO QCD
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Next-to-Next-to-Leading Order Higgs Production at Hadron Colliders
• Higgs boson production at hadron colliders in NNLO QCD
• Differential Equations for Two-Loop Four-Point Functions
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• High-precision QCD at hadron colliders: electroweak gauge boson rapidity distributions at NNLO
• Three-jet cross sections to next-to-leading order
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• The Dipole Formalism for Next-to-Leading Order QCD Calculations with Massive Partons
• The Dipole Formalism for the Calculation of QCD Jet Cross Sections at Next-to-Leading Order
• Antenna Subtraction at NNLO
• Higher Order Corrections to Jet Cross Sections in Hadron Colliders
• One-Loop Amplitudes for e^+ e^- to Four Partons
• Numerical evaluation of multiple polylogarithms
• Infrared singularities of scattering amplitudes in perturbative QCD
• Higgs boson production in bottom quark fusion at next-to-next-to-leading order
• Multi-loop Amplitudes and Resummation
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Infrared factorization of tree-level QCD amplitudes at the next-to-next-to-leading order and beyond
• Dilepton rapidity distribution in the Drell-Yan process at NNLO in QCD
• Nested Sums, Expansion of Transcendental Functions and Multi-Scale Multi-Loop Integrals
• A General Approach To Photon Radiation Off Fermions
• Two-Loop Master Integrals for ${\gamma }^{\ast }\to 3$ Jets: The planar topologies
• The Infrared Behavior of One-Loop Gluon Amplitudes at Next-to-Next-to-Leading Order
• Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order
• One-Loop Splitting Amplitudes in Gauge Theory
• NNLO predictions for the Higgs boson signal in the H->WW->lnu lnu and H->ZZ->4l decay channels
• The soft-gluon current at one-loop order
• Numerical Evaluation of Harmonic Polylogarithms
• Higgs production in hadron collisions: soft and virtual QCD corrections at NNLO
• Double Unresolved Approximations to Multiparton Scattering Amplitudes
• The Infrared Behavior of One-Loop QCD Amplitudes at Next-to-Next-to-Leading Order
• Higgs boson production at hadron colliders: differential cross sections through next-to-next-to-leading order
• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• Factorization of tree QCD amplitudes in the high-energy limit and in the collinear limit
• Two-Loop Helicity Amplitudes for Gluon-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory
• NNLO corrections to 3-jet observables in electron-positron annihilation
• Two-Loop Master Integrals for ${\gamma }^{\ast }\to 3$ Jets: The non-planar topologies
• Infrared Structure of $e^{+}{e}^{-}\to 2$ jets at NNLO
• Antenna Factorization of Gauge-Theory Amplitudes
• Gluon-Gluon Antenna Functions from Higgs Boson Decay
• Collinear Factorization and Splitting Functions for Next-to-next-to-leading Order QCD Calculations
• The W boson production cross section at the LHC through O(alpha_s^2)
• All-Order Collinear Behavior in Gauge Theories
• Quark-Gluon Antenna Functions from Neutralino Decay
• Two-Loop QCD Helicity Amplitudes for $e^{+}{e}^{-}\to 3$~Jets
• Next-to-leading order calculation of four-jet observables in electron-positron annihilation
• The Two-Loop QCD Matrix Element for $e^{+}{e}^{-}\to 3$ Jets
• Numerical Evaluation of Two-Dimensional Harmonic Polylogarithms
• Second-order QCD corrections to the thrust distribution
• Soft and virtual corrections to pp -> H + X at NNLO
• Four-Particle Phase Space Integrals in Massless QCD
• The singular behavior of massive QCD amplitudes
• Event shapes and jet rates in electron-positron annihilation at NNLO
• Jet rates in electron-positron annihilation at O(α_s^3) in QCD
• Subtraction terms at NNLO
• Infrared structure of e+e- --> 3 jets at NNLO
• Matching of Singly- and Doubly-Unresolved Limits of Tree-level QCD Squared Matrix Elements
• One-Loop Amplitudes for e^+ e^- to q-bar q Q-bar Q
• A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of doubly-real emissions
• Multiple Singular Emission in Gauge Theories
• A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of real-virtual emission
• A complete $\mathcal{O}(\alpha {\alpha }_s)$ calculation of the Photon + 1 Jet rate in $e^{+}{e}^{-}$ annihilation
• NNLO QCD predictions for the H -> WW -> l l nu nu signal at the LHC
• The One-loop QCD Corrections for ${\gamma }^{\ast }toQ\bar{Q}q\bar{q}$
• Subtraction at NNLO
• Direct Higgs production and jet veto at the Tevatron and the LHC in NNLO QCD
• NNLO moments of event shapes in e+e- annihilation
• The One-loop QCD Corrections for gamma^* to q qbar gg
• Subtraction terms for one-loop amplitudes with one unresolved parton
• Real radiation at NNLO: e^+e^- to 2 jets through O(alpha_s^2)
• Dipole formalism with heavy fermions
• The electron energy spectrum in muon decay through O(alpha^2)
• Next-to-Leading Order Cross Sections for Tagged Reactions
• Analytic integration of real-virtual counterterms in NNLO jet cross sections I
• Complete Order alpha_s^3 Results for e^+ e^- to (gamma,Z) to Four Jets
• A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the subtraction terms I
• Two-loop amplitudes with nested sums: Fermionic contributions to e+ e- --> q qbar g
• All-Orders Singular Emission in Gauge Theories
• QCD Corrections to Four-jet Production and Three-jet Structure in e+ e- annihilation
• Subtraction Terms for Hadronic Production Processes at Next-to-Next-to-Leading Order
• Automated computation of spin- and colour-correlated Born matrix elements
• The forward-backward asymmetry at NNLO revisited
• NNLO corrections to 2-jet observables in electron-positron annihilation
• Full One-loop Electro-Weak Corrections to Three-jet Observables at the Z pole and Beyond

Cited by in corpus (47)

• Infrared Structure at NNLO Using Antenna Subtraction
• Two-Loop QCD Corrections to the Helicity Amplitudes for $H\to$ 3 partons
• Antenna subtraction at NNLO with hadronic initial states: initial-final configurations
• Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region
• Second order QCD corrections to jet production at hadron colliders: the all-gluon contribution
• Space-like (vs. time-like) collinear limits in QCD: is factorization violated?
• Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations
• Three-jet production in electron-positron collisions using the CoLoRFulNNLO method
• Antenna subtraction at NNLO with hadronic initial states: double real radiation for initial-initial configurations with two quark flavours
• Antenna subtraction at NNLO with hadronic initial states: real-virtual initial-initial configurations
• Determination of the strong coupling constant using matched NNLO+NLLA predictions for hadronic event shapes in e+e- annihilations
• Two-Loop Planar Corrections to Heavy-Quark Pair Production in the Quark-Antiquark Channel
• Higgs boson decay into b-quarks at NNLO accuracy
• NNLO QCD corrections to jet production at hadron colliders from gluon scattering
• Antenna subtraction for gluon scattering at NNLO
• Two-loop QCD helicity amplitudes for $q\bar{q}\to W^{\pm }\gamma$ and $q\bar{q}\to Z^0\gamma$
• EERAD3: Event shapes and jet rates in electron-positron annihilation at order ${\alpha }_s^3$
• Precise determination of the strong coupling constant at NNLO in QCD from the three-jet rate in electron--positron annihilation at LEP
• Hadronization effects in event shape moments
• Antenna subtraction for the production of heavy particles at hadron colliders
• A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the iterated singly-unresolved subtraction terms
• Analytic integration of real-virtual counterterms in NNLO jet cross sections II
• Perturbative QCD effects and the search for a H->WW->l nu l nu signal at the Tevatron
• Moments of event shapes in electron-positron annihilation at NNLO
• Real-Virtual corrections for gluon scattering at NNLO
• Electroweak prodution of top-quark pairs in e+e- annihilation at NNLO in QCD: the vector contributions
• The real radiation antenna function for $S\to Q\bar{Q}q\bar{q}$ at NNLO QCD
• Double real radiation corrections to $t\bar{t}$ production at the LHC: the all-fermion processes
• Electroweak corrections to hadronic event shapes and jet production in e+e- annihilation
• A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the doubly unresolved subtraction terms
• Double Virtual corrections for gluon scattering at NNLO
• Integration of collinear-type doubly unresolved counterterms in NNLO jet cross sections
• Jet algorithms in electron-positron annihilation: Perturbative higher order predictions
• Analytic result for the one-loop scalar pentagon integral with massless propagators
• The colourful antenna subtraction method
• Generalised Antenna Functions for Higher-Order Calculations
• Electroweak corrections to three-jet production in electron-positron annihilation
• Does one need the O(epsilon)- and O(epsilon^2)-terms of one-loop amplitudes in an NNLO calculation ?
• Double real radiation corrections to gluon scattering at NNLO
• Higgs plus one jet production at NNLO
• Jet production at electron-positron colliders at next-to-next-to-next-to-leading order in QCD
• NNLO jet cross sections by subtraction
• Sector-improved residue subtraction: Improvements and Applications
• Z-Sum Approach to Loop Integrals using Taylor Expansion
• The real radiation antenna functions for $S\to Q\bar{Q}gg$ at NNLO QCD
• Recent progress in QCD calculations for e^+e^- annihilation and hadron collisions
• Monte Carlo Event Generators for Future Lepton Colliders