High Energy Physics - Phenomenology · arXiv:hep-ph/9609474 v3 · submitted 25 Sep 1996
The One-loop QCD Corrections for γ*toQQ̄qq̄
The paper says
“We calculate the one-loop QCD corrections for the decay of an off-shell vector boson with vector couplings into two pairs of quarks of equal or unequal flavours keeping all orders in the number of colours.”
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The paper
Abstract
We calculate the one-loop QCD corrections for the decay of an off-shell vector boson with vector couplings into two pairs of quarks of equal or unequal flavours keeping all orders in the number of colours. These matrix elements are relevant for the calculation of the next-to-leading order 𝒪(αs3) corrections to four jet production in electron-positron annihilation, the production of a gauge boson accompanied by two jets in hadron-hadron collisions and three jet production in deep inelastic scattering. We use standard techniques for computing the interference of one-loop and tree level Feynman diagrams, but organise the results in terms of combinations of scalar loop integrals that are finite in the limit of vanishing Gram determinants and are therefore numerically stable.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.07 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v3). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We calculate the one-loop QCD corrections for the decay of an off-shell vector boson with vector couplings into two pairs of quarks of equal or unequal flavours keeping all orders in the number of colours. | contribution 1.00 | 0.97 | 0.58 | asserted 1.00 |
| These matrix elements are relevant for the calculation of the next-to-leading order ${\cal O}(\alpha_s^3)$ corrections to four jet production in electron-positron annihilation, the production of a gauge boson accompanied by two jets in hadron-hadron collisions and three jet production in deep inelastic scattering. | interpretation 0.81 | 0.20 | 0.10 | asserted 1.00 |
| We use standard techniques for computing the interference of one-loop and tree level Feynman diagrams, but organise the results in terms of combinations of scalar loop integrals that are finite in the limit of vanishing Gram determinants and are therefore numerically stable. | method 1.00 | 0.95 | 0.10 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.86
What was examined, and what was not
Sources read
- arXiv listing abstract v3
Not examined
- full text
- figures and tables
- references and citing sentences
- relations to other papers
Levels run
- P abstract
Not run
- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,164 input tokens, $0.0001 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 32 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Antenna Subtraction at NNLO hep-ph · May 2005
- Jet production at electron-positron colliders at next-to-next-to-next-to-leading order in QCD hep-ph · May 2025
- Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD hep-ph · Oct 2021
- Di-lepton Rapidity Distribution in Drell-Yan Production to Third Order in QCD hep-ph · Jul 2021
- Second-order QCD corrections to event shape distributions in deep inelastic scattering hep-ph · Sep 2019
- Next-to-Leading Order QCD Predictions for W+3-Jet Distributions at Hadron Colliders hep-ph · Jul 2009
- NNLO moments of event shapes in e+e- annihilation hep-ph · Mar 2009
- NNLO corrections to event shapes in $e^+e^-$ annihilation hep-ph · Nov 2007
- Infrared structure of e+e- --> 3 jets at NNLO hep-ph · Oct 2007
- The triple collinear limit of one-loop QCD amplitudes hep-ph · Dec 2003
- The Two-Loop QCD Matrix Element for $e^+e^- \to 3$ Jets hep-ph · Dec 2001
- One-Loop Amplitudes for e^+ e^- to Four Partons hep-ph · Aug 1997
- The transverse momentum spectrum of weak gauge bosons at N$^3$LL+NNLO hep-ph · May 2019
- Fiducial distributions in Higgs and Drell-Yan production at N$^3$LL+NNLO hep-ph · May 2018
- NNLO QCD corrections to the transverse momentum distribution of weak gauge bosons hep-ph · Dec 2017
- NNLO QCD corrections to jet production in deep inelastic scattering hep-ph · Mar 2017
- The NNLO QCD corrections to Z boson production at large transverse momentum hep-ph · May 2016
- Precise QCD predictions for the production of a Z boson in association with a hadronic jet hep-ph · Jul 2015
- The infrared structure of e+ e- --> 3 jets at NNLO reloaded hep-ph · Apr 2009
- Event shapes and jet rates in electron-positron annihilation at NNLO hep-ph · Apr 2009
- NNLO corrections to 3-jet observables in electron-positron annihilation hep-ph · Jul 2008
- First determination of the strong coupling constant using NNLO predictions for hadronic event shapes in e^+e^- annihilations hep-ph · Dec 2007
- The one-loop amplitude for six-gluon scattering hep-ph · Feb 2006
- Infrared Structure of $e^+e^- \to 2$ jets at NNLO hep-ph · Mar 2004
- Two-Loop QCD Helicity Amplitudes for $e^+e^- \to 3$~Jets hep-ph · Jun 2002
- The Infrared Behavior of One-Loop QCD Amplitudes at Next-to-Next-to-Leading Order hep-ph · Mar 1999
- The Infrared Behavior of One-Loop Gluon Amplitudes at Next-to-Next-to-Leading Order hep-ph · Oct 1998
- Jet production in the CoLoRFulNNLO method: event shapes in electron-positron collisions hep-ph · Jun 2016
- Determination of the strong coupling constant using matched NNLO+NLLA predictions for hadronic event shapes in e+e- annihilations hep-ph · Jun 2009
- The SM and NLO multileg working group: Summary report hep-ph · Mar 2010
- EERAD3: Event shapes and jet rates in electron-positron annihilation at order $\alpha_s^3$ hep-ph · Feb 2014
- Hard Interactions of Quarks and Gluons: a Primer for LHC Physics hep-ph · Nov 2006
How the literature uses it
9 arXiv papers cite this in 9 sentences
Papers citing it · 5 sentences without a confident label
Uses its method or tool 2 papers
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The theoretical predictions are obtained using the framework [ref] , which implements the relevant NNLO VJ matrix elements [ref] and uses the antenna subtraction method [ref] to extract and combine infrared singularities from partonic subprocesses with different multiplicity.
Vector Boson Production in Association with a Jet at Forward Rapidities · Introduction · 1.00
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It combines the contributions from four-parton production at tree-level [ref] , three-parton production at one loop [ref] and two-parton production at two loops [ref] , using the antenna subtraction method [ref] to isolate infrared singular terms from the different contributions, which are then combined to yield numerically finite predictions for arbitrary infrared-safe observables constructed from the parton momenta.
Second-order QCD corrections to event shape distributions in deep inelastic scattering · QCD corrections to event shapes · 0.86
Cites it as background 2 papers
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For jet production in DIS at NNLO ($p=2$), three types of contributions enter the calculation: The double-real (RR) contribution comprising tree-level amplitudes with two additional partons in the final state [ref] , the real–virtual (RV) contribution that requires one-loop amplitudes with one additional emission [ref] , and the double-virtual (VV) contribution involving two-loop amplitudes [ref] .
Calculations for deep inelastic scattering using fast interpolation grid techniques at NNLO in QCD and the extraction of $\alpha_s$ from HERA data · DIS at NNLO and the framework · 0.92
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While the one-loop helicity amplitudes for $e^+e^-→4$ partons have been known for more than two decades [ref] , no analytic expression for corresponding two-loop scattering amplitudes has been available until now.
Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD · Introduction · 0.85
Challenges and discussion
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