Subtraction terms at NNLO

Abstract

Perturbative calculations at next-to-next-to-leading order for multi-particle final states require a method to cancel infrared singularities. I discuss the subtraction method at NNLO. As a concrete example I consider the leading-colour contributions to e+ e- --> 2 jets. This is the simplest example which exhibits all essential features. For this example, explicit subtraction terms are given, which approximate the four-parton and three-parton final states in all double and single unresolved limits, such that the subtracted matrix elements can be integrated numerically.

41 pages

References in corpus (2)

• Multiple Singular Emission in Gauge Theories
• All-Orders Singular Emission in Gauge Theories

Cited by in corpus (97)

• 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
• 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
• A novel subtraction scheme for double-real radiation at NNLO
• HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
• Antenna subtraction with hadronic initial states
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order
• 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
• Higgs boson production at hadron colliders: differential cross sections through next-to-next-to-leading order
• Two-Loop g -> gg Splitting Amplitudes in QCD
• Double-real radiation in hadronic top quark pair production as a proof of a certain concept
• Infrared Structure at NNLO Using Antenna Subtraction
• A new method for real radiation at NNLO
• NNLO corrections to 3-jet observables in electron-positron annihilation
• On the NNLO QCD corrections to single-top production at the LHC
• Gluon-Gluon Antenna Functions from Higgs Boson Decay
• Infrared Structure of $e^{+}{e}^{-}\to 2$ jets at NNLO
• Quark-Gluon Antenna Functions from Neutralino Decay
• Numerical evaluation of phase space integrals by sector decomposition
• Antenna subtraction at NNLO with hadronic initial states: initial-final configurations
• Jet production in the CoLoRFulNNLO method: event shapes in electron-positron collisions
• Four-Particle Phase Space Integrals in Massless QCD
• 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
• Expansion around half-integer values, binomial sums and inverse binomial sums
• 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
• Two-loop splitting functions in QCD
• Matching of Singly- and Doubly-Unresolved Limits of Tree-level QCD Squared Matrix Elements
• 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
• Two-Loop Helicity Amplitudes for Quark-Gluon Scattering in QCD and Gluino-Gluon Scattering in Supersymmetric Yang-Mills Theory
• $O({\alpha }_s^2)$ corrections to fully-differential top quark decays
• The fully differential decay rate of a Higgs boson to bottom-quarks at NNLO in QCD
• Two-Loop Helicity Amplitudes for Quark-Quark Scattering in QCD and Gluino-Gluino Scattering in Supersymmetric Yang-Mills Theory
• Subtraction at NNLO
• Higgs boson decay into b-quarks at NNLO accuracy
• W boson production at hadron colliders: the lepton charge asymmetry in NNLO QCD
• NNLO QCD corrections to jet production at hadron colliders from gluon scattering
• Antenna subtraction for gluon scattering at NNLO
• 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
• Theoretical uncertainties on alpha_s from event-shape variables in e+e- annihilations
• Two-loop QCD helicity amplitudes for massless quark-quark scattering
• AutoDipole - Automated generation of dipole subtraction terms -
• Geometric IR subtraction for real radiation
• 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
• 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
• Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in quark-antiquark collisions
• 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
• Subtraction Terms for Hadronic Production Processes at Next-to-Next-to-Leading Order
• Double real radiation corrections to $t\bar{t}$ production at the LHC: the all-fermion processes
• The real radiation antenna function for $S\to Q\bar{Q}q\bar{q}$ at NNLO QCD
• The forward-backward asymmetry at NNLO revisited
• NumExp: Numerical epsilon expansion of hypergeometric functions
• Jet algorithms in electron-positron annihilation: Perturbative higher order predictions
• NNLO corrections to 2-jet observables in electron-positron annihilation
• Some remarks on dipole showers and the DGLAP equation
• Infrared structure of $e^{+}{e}^{-}\to 3$ jets at NNLO - the $C_F^2$ contribution
• 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
• Towards e+e- --> 3 jets at NNLO by sector decomposition
• Covariantizing Phase Space
• A numerical approach to infrared divergent multi-parton phase space integrals
• Locally finite two-loop QCD amplitudes from IR universality for electroweak production
• Does one need the O(epsilon)- and O(epsilon^2)-terms of one-loop amplitudes in an NNLO calculation ?
• 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
• Antenna subtraction for jet production observables in full colour at NNLO
• Status of jet cross sections to NNLO
• Automated calculations for multi-leg processes
• NNLO jet cross sections by subtraction
• QCD: Theoretical Developments
• The real radiation antenna functions for $S\to Q\bar{Q}gg$ at NNLO QCD
• QCD at hadron colliders
• A numerical approach to the double real radiation part of e+e- to 3 jets at NNLO
• Progress on NNLO subtraction
• Infrared finite cross sections at NNLO
• IR subtraction schemes: integrating the counterterms at NNLO in QCD
• Antenna subtraction method for jet calculations at NNLO