Subtraction at NNLO

Abstract

We propose a framework for the implementation of a subtraction formalism at NNLO in QCD, based on an observable- and process-independent cancellation of infrared singularities. As a first simple application, we present the calculation of the contribution to the e+e- dijet cross section proportional to C_F T_R

42 pages Latex; 7 figures included. Modifications to the text, and references added; the results are unchanged

References in corpus (45)

• Matching NLO QCD computations and parton shower simulations
• A General Algorithm for Calculating Jet Cross Sections in NLO QCD
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• High-precision QCD at hadron colliders: electroweak gauge boson rapidity distributions at NNLO
• Three-jet cross sections to next-to-leading order
• The Three-Loop Splitting Functions in QCD: The Singlet Case
• Soft-gluon resummation for Higgs boson production at hadron colliders
• Matching NLO QCD and parton showers in heavy flavour production
• An automatized algorithm to compute infrared divergent multi-loop integrals
• Higher Order Corrections to Jet Cross Sections in Hadron Colliders
• A general approach to jet cross sections in QCD
• 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
• 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
• The soft-gluon current at one-loop order
• 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
• Factorization in One-Loop Gauge Theory
• A new method for real radiation at NNLO
• 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
• Two-loop QCD corrections to gluon-gluon scattering
• Infrared Structure of $e^{+}{e}^{-}\to 2$ jets at NNLO
• Gluon-Gluon Antenna Functions from Higgs Boson Decay
• Quark-Gluon Antenna Functions from Neutralino Decay
• The Two-Loop QCD Matrix Element for $e^{+}{e}^{-}\to 3$ Jets
• Numerical evaluation of phase space integrals by sector decomposition
• Four-Particle Phase Space Integrals in Massless QCD
• Two-loop QCD corrections to the scattering of massless distinct quarks
• Two-loop QCD corrections to massless quark-gluon scattering
• Subtraction terms at NNLO
• Two-loop QCD corrections to massless identical quark scattering
• Two-Loop Helicity Amplitudes for Quark-Gluon Scattering in QCD and Gluino-Gluon Scattering in Supersymmetric Yang-Mills Theory
• Antenna Factorization in Strongly-Ordered Limits
• Two-Loop Helicity Amplitudes for Quark-Quark Scattering in QCD and Gluino-Gluino Scattering in Supersymmetric Yang-Mills Theory
• Subtraction terms for one-loop amplitudes with one unresolved parton
• Real radiation at NNLO: e^+e^- to 2 jets through O(alpha_s^2)
• Two-loop QCD helicity amplitudes for massless quark-massless gauge boson scattering
• Calculation of QCD jet cross sections at next-to-leading order
• Infrared structure of $e^{+}{e}^{-}\to 3$ jets at NNLO - the $C_F^2$ contribution
• Les Houches 'Physics at Tev Colliders 2003' QCD/SM Working Group: Summary Report

Cited by in corpus (67)

• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Electroweak gauge boson production at hadron colliders through O(alpha_s^2)
• Antenna Subtraction at NNLO
• Automation of next-to-leading order computations in QCD: the FKS subtraction
• Antenna subtraction with hadronic initial states
• NNLO predictions for the Higgs boson signal in the H->WW->lnu lnu and H->ZZ->4l decay channels
• Associated WH production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Automating dipole subtraction for QCD NLO calculations
• Double-real radiation in hadronic top quark pair production as a proof of a certain concept
• Infrared Structure at NNLO Using Antenna Subtraction
• NNLO corrections to 3-jet observables in electron-positron annihilation
• Infrared Structure of $e^{+}{e}^{-}\to 2$ jets at NNLO
• Antenna subtraction at NNLO with hadronic initial states: initial-final configurations
• Nested soft-collinear subtractions in NNLO QCD computations
• Next-to-Next-to-Leading Order Evolution of Non-Singlet Fragmentation Functions
• Event shapes and jet rates in electron-positron annihilation at NNLO
• Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations
• Subleading Power Corrections for N-Jettiness Subtractions
• Infrared structure of e+e- --> 3 jets at NNLO
• Antenna subtraction at NNLO with hadronic initial states: double real radiation for initial-initial configurations with two quark flavours
• Polarized QED splittings of massive fermions and dipole subtraction for non-collinear-safe observables
• Antenna subtraction at NNLO with hadronic initial states: real-virtual initial-initial configurations
• A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of doubly-real emissions
• A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of real-virtual emission
• The fully differential decay rate of a Higgs boson to bottom-quarks at NNLO in QCD
• W boson production at hadron colliders: the lepton charge asymmetry in NNLO QCD
• Antenna subtraction for gluon scattering at NNLO
• Local Analytic Sector Subtraction at NNLO
• AutoDipole - Automated generation of dipole subtraction terms -
• The fully differential hadronic production of a Higgs boson via bottom quark fusion at NNLO
• The infrared structure of e+ e- --> 3 jets at NNLO reloaded
• May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
• A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the iterated singly-unresolved subtraction terms
• Light-quark two-loop corrections to heavy-quark pair production in the gluon fusion channel
• Subtraction with hadronic initial states at NLO: an NNLO-compatible scheme
• Analytic integration of real-virtual counterterms in NNLO jet cross sections II
• Moments of event shapes in electron-positron annihilation at NNLO
• Real-Virtual corrections for gluon scattering at NNLO
• Antenna subtraction with massive fermions at NNLO: Double real initial-final configurations
• 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
• A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the doubly unresolved subtraction terms
• Jet algorithms in electron-positron annihilation: Perturbative higher order predictions
• Integration of collinear-type doubly unresolved counterterms in NNLO jet cross sections
• NNLO corrections to 2-jet observables in electron-positron annihilation
• NNLO subtraction for any massless final state: a complete analytic expression
• Double real radiation corrections to $t\bar{t}$ production at the LHC: the $gg\to t\bar{t}q\bar{q}$ channel
• N-jettiness Subtractions for NNLO QCD Calculations
• Analytic integration of soft and collinear radiation in factorised QCD cross sections at NNLO
• Towards e+e- --> 3 jets at NNLO by sector decomposition
• Colourful FKS subtraction
• Initial-Final and Initial-Initial antenna functions for real radiation at next-to-leading order
• The sector decomposition approach to real radiation at NNLO
• Double real radiation corrections to gluon scattering at NNLO
• The real-virtual antenna functions for $S\to Q\bar{Q}X$ at NNLO QCD
• Status of jet cross sections to NNLO
• Removing phase-space restrictions in factorized cross sections
• Automated calculations for multi-leg processes
• NNLO jet cross sections by subtraction
• The real radiation antenna functions for $S\to Q\bar{Q}gg$ at NNLO QCD
• QCD at hadron colliders
• Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle
• IR subtraction schemes: integrating the counterterms at NNLO in QCD
• A numerical approach to the double real radiation part of e+e- to 3 jets at NNLO
• Progress on NNLO subtraction