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Antenna subtraction with massive fermions at NNLO: Double real initial-final configurations
High Energy Physics - Phenomenology · Submitted 18 Oct 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We derive the integrated forms of specific initial-final tree-level four-parton antenna functions involving a massless initial-state parton and a massive final-state fermion as hard radiators.
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The abstract, sentence by sentence
We derive the integrated forms of specific initial-final tree-level four-parton antenna functions involving a massless initial-state parton and a massive final-state fermion as hard radiators. These antennae are needed in the subtraction terms required to evaluate the double real corrections to $t\bar{t}$ hadronic production at the NNLO level stemming from the partonic processes $q\bar{q}\to t\bar{t}q'\bar{q}'$ and $gg\to t\bar{t}q\bar{q}$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We derive the integrated forms of specific initial-final tree-level four-parton antenna functions involving a massless initial-state parton and a massive final-state fermion as hard radiators. | contribution 0.87 | 0.96 | 0.47 | asserted 1.00 |
| s1 | These antennae are needed in the subtraction terms required to evaluate the double real corrections to $t\bar{t}$ hadronic production at the NNLO level stemming from the partonic processes $q\bar{q}\to t\bar{t}q'\bar{q}'$ and $gg\to t\bar{t}q\bar{q}$. | background 0.49 | 0.35 | 0.26 | asserted 1.00 |
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The paper
Original abstract
We derive the integrated forms of specific initial-final tree-level four-parton antenna functions involving a massless initial-state parton and a massive final-state fermion as hard radiators. These antennae are needed in the subtraction terms required to evaluate the double real corrections to $t\bar{t}$ hadronic production at the NNLO level stemming from the partonic processes $q\bar{q}\to t\bar{t}q'\bar{q}'$ and $gg\to t\bar{t}q\bar{q}$.
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References
How the literature uses it
23 arXiv papers cite this in 32 sentences
Papers citing it · 20 sentences without a confident label
Uses its method or tool 2 papers
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The integrated form of $A_4^0(1,3,4,2)$ is presently unknown, it will be obtained by integrating the antenna over the appropriate initial-final antenna phase space, using the techniques developed in [ref] .
NNLO QCD subtraction for top-antitop production in the $q\bar{q}$ channel · The massive initial-final antenna $A_4^0(1,3,4,2)$ · 0.95
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Until now, results could only have been obtained with the help of the antenna subtraction scheme [ref] as implemented in the NNLOjet framework [ref] .
Single-jet inclusive rates with exact color at $\mathcal{O}(\alpha_s^4)$ · Introduction · 0.87
Cites it as background 9 papers
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Intermediate results have recently become available in [ref] , and new developments were achieved in [ref] .
Light fermionic NNLO QCD corrections to top-antitop production in the quark-antiquark channel · Introduction · 0.86
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The construction of a general subtraction scheme to calculate cross sections at NNLO accuracy has also received significant attention [ref] .
A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the doubly unresolved subtraction terms · Introduction · 0.99
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Much work has gone into the lay-out of a general subtraction algorithm to compute cross sections at NNLO accuracy [ref] .
Integration of collinear-type doubly unresolved counterterms in NNLO jet cross sections · Introduction · 0.96
What it cites · 63 sentences without a confident label
Builds on 1 paper
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The full amplitude for the process $χ̃→g̃gqq̅$ contains leading and subleading colour pieces [ref] .
Gluon-Gluon Antenna Functions from Higgs Boson Decay · Antenna functions for double real radiation · 0.80
Uses the method or tool of 9 papers
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We start by expressing our phase space integrals as cuts of two-loop four-point functions with two off-shell legs in forward scattering kinematics [ref] , and then reduce these two-loop integrals using the Laporta algorithm [ref] as implemented in FIRE [ref] .
Algorithm FIRE -- Feynman Integral REduction · General structure of the integrated antennae · 1.00
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We start by expressing our phase space integrals as cuts of two-loop four-point functions with two off-shell legs in forward scattering kinematics [ref] , and then reduce these two-loop integrals using the Laporta algorithm [ref] as implemented in FIRE [ref] .
High-precision calculation of multi-loop Feynman integrals by difference equations · General structure of the integrated antennae · 1.00
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We start by expressing our phase space integrals as cuts of two-loop four-point functions with two off-shell legs in forward scattering kinematics [ref] , and then reduce these two-loop integrals using the Laporta algorithm [ref] as implemented in FIRE [ref] .
Higgs boson production at hadron colliders in NNLO QCD · General structure of the integrated antennae · 1.00
Cites as background 41 papers
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At the NLO level, two different subtraction methods have been extended to deal with massive final-state fermions: the dipole formalism [ref] and the antenna subtraction method [ref] .
The Dipole Formalism for Next-to-Leading Order QCD Calculations with Massive Partons · Introduction · 0.88
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At the NLO level, two different subtraction methods have been extended to deal with massive final-state fermions: the dipole formalism [ref] and the antenna subtraction method [ref] .
NLO Antenna Subtraction with Massive Fermions · Introduction · 0.88
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At the NLO level, two different subtraction methods have been extended to deal with massive final-state fermions: the dipole formalism [ref] and the antenna subtraction method [ref] .
Dipole formalism with heavy fermions · Introduction · 0.88
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