Real-Virtual corrections for gluon scattering at NNLO

Abstract

We use the antenna subtraction method to isolate the mixed real-virtual infrared singularities present in gluonic scattering amplitudes at next-to-next-to-leading order. In a previous paper, we derived the subtraction term that rendered the double real radiation tree-level process finite in the single and double unresolved regions of phase space. Here, we show how to construct the real-virtual subtraction term using antenna functions with both initial- and final-state partons which removes the explicit infrared poles present in the one-loop amplitude, as well as the implicit singularities that occur in the soft and collinear limits. As an explicit example, we write down the subtraction term that describes the single unresolved contributions from the five-gluon one-loop process. The infrared poles are explicitly and locally cancelled in all regions of phase space prior to integration, leaving a finite remainder that can be safely evaluated numerically in four-dimensions. We show numerically that the subtraction term correctly approximates the matrix elements in the various single unresolved configurations.

64 pages, 4 tables, 5 figures

References in corpus (26)

• 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
• A novel subtraction scheme for double-real radiation at NNLO
• Measurement of the inclusive jet cross section in $p\bar{p}$ collisions at $\sqrt{s}=1.96\mathrm{TeV}$
• NNLO predictions for the Higgs boson signal in the H->WW->lnu lnu and H->ZZ->4l decay channels
• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• NNLO corrections to 3-jet observables in electron-positron annihilation
• Sector Decomposition
• The W boson production cross section at the LHC through O(alpha_s^2)
• Second-order QCD corrections to the thrust distribution
• Event shapes and jet rates in electron-positron annihilation at NNLO
• SecDec: A general program for sector decomposition
• Jet rates in electron-positron annihilation at O(α_s^3) in QCD
• Infrared structure of e+e- --> 3 jets at NNLO
• NNLO moments of event shapes in e+e- annihilation
• Analytic integration of real-virtual counterterms in NNLO jet cross sections I
• A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the subtraction terms I
• The infrared structure of e+ e- --> 3 jets at NNLO reloaded
• NLO Antenna Subtraction with Massive Fermions
• 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
• On the factorization of overlapping singularities at NNLO
• A new subtraction scheme for computing QCD jet cross sections at next-to-leading order accuracy
• The sector decomposition approach to real radiation at NNLO
• Double real radiation corrections to gluon scattering at NNLO
• Status of jet cross sections to NNLO

Cited by in corpus (29)

• Parton distribution functions and benchmark cross sections at NNLO
• Precise QCD predictions for the production of Higgs+jet final states
• Precise QCD predictions for the production of a Z boson in association with a hadronic jet
• Infrared Structure at NNLO Using Antenna Subtraction
• NNLO QCD predictions for single jet inclusive production at the LHC
• 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
• Weak radiative corrections to dijet production at hadron colliders
• NNLO QCD corrections to jet production at hadron colliders from gluon scattering
• NNLO QCD corrections to jet production in deep inelastic scattering
• Infrared sensitivity of single jet inclusive production at hadron colliders
• Precise QCD predictions for the production of dijet final states in deep inelastic scattering
• May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
• Light-quark two-loop corrections to heavy-quark pair production in the gluon fusion channel
• Antenna subtraction with massive fermions at NNLO: Double real initial-final configurations
• NNLO QCD subtraction for top-antitop production in the $q\bar{q}$ channel
• Perturbative QCD description of jet data from LHC Run-I and Tevatron Run-II
• 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
• Integration of collinear-type doubly unresolved counterterms in NNLO jet cross sections
• Double Virtual corrections for gluon scattering at NNLO
• Double real radiation corrections to $t\bar{t}$ production at the LHC: the $gg\to t\bar{t}q\bar{q}$ channel
• Dijet production in diffractive deep-inelastic scattering in next-to-next-to-leading order QCD
• Top quark pair production at NNLO in the quark-antiquark channel
• The colourful antenna subtraction method
• Light fermionic NNLO QCD corrections to top-antitop production in the quark-antiquark channel
• Generalised Antenna Functions for Higher-Order Calculations
• Top-quark mass effects in H+jet and H+2 jets production