Electron-Positron Annihilation into Four Jets at Next-to-Leading Order in $\alpha_s$

A. Signer; L. Dixon

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Electron-Positron Annihilation into Four Jets at Next-to-Leading Order in $\alpha_s$

A. Signer, L. Dixon

High Energy Physics - Phenomenology · Submitted 24 Sep 1996

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The $\cO(\alpha_s^3)$ corrections depend strongly on the jet resolution parameter $\ycut$ and on the clustering and recombination schemes, and they substantially improve the agreement between theory and data.

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arXiv IDhep-ph/9609460 (version 2)

Pith IDKDGV7QEC, Pith's permanent record of this paper and its review

CitationA. Signer, L. Dixon. "Electron-Positron Annihilation into Four Jets at Next-to-Leading Order in $\alpha_s$." arXiv:hep-ph/9609460 (1996). https://pith.science/paper/KDGV7QEC

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.96 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.10 · compares with prior results 0.41 · mentions code or data availability 0.02.

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We calculate the rate for $e^+e^-$ annihilation into four jets at next-to-leading order in perturbative QCD, but omitting terms that are suppressed by one or more powers of $1/\Nc^2$, where $\Nc$ is the number of colors. The $\cO(\alpha_s^3)$ corrections depend strongly on the jet resolution parameter $\ycut$ and on the clustering and recombination schemes, and they substantially improve the agreement between theory and data.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We calculate the rate for $e^+e^-$ annihilation into four jets at next-to-leading order in perturbative QCD, but omitting terms that are suppressed by one or more powers of $1/\Nc^2$, where $\Nc$ is the number of colors.	contribution 0.92	0.95	0.12	asserted 1.00
s1	The $\cO(\alpha_s^3)$ corrections depend strongly on the jet resolution parameter $\ycut$ and on the clustering and recombination schemes, and they substantially improve the agreement between theory and data.	result 0.98	0.81	0.56	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from simulation or computation 0.57.

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C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We calculate the rate for $e^+e^-$ annihilation into four jets at next-to-leading order in perturbative QCD, but omitting terms that are suppressed by one or more powers of $1/\Nc^2$, where $\Nc$ is the number of colors. The $\cO(\alpha_s^3)$ corrections depend strongly on the jet resolution parameter $\ycut$ and on the clustering and recombination schemes, and they substantially improve the agreement between theory and data.

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References

Forward citations

Cited by 12 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Antenna Subtraction at NNLO
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A complete antenna-subtraction framework for NNLO e+e- jet calculations, with all colour-ordered antenna functions and integrated forms, and an analytic demonstration that infrared poles cancel for three-jet production.
NNLO corrections to event shapes in $e^+e^-$ annihilation
hep-ph 2007-11 conditional novelty 7.0 of 10

The authors present the first complete NNLO QCD corrections to six three-jet event shape distributions in e+e- annihilation, finding 5 to 20 percent corrections beyond NLO and a 30 to 50 percent reduction in scale unc...
Infrared structure of e+e- --> 3 jets at NNLO
hep-ph 2007-10 accept novelty 7.0 of 10

A complete NNLO calculation of electron-positron annihilation into three jets, with all infrared singularities subtracted by antenna functions, cancelled analytically, and implemented in an event generator.
Four-Particle Phase Space Integrals in Massless QCD
hep-ph 2003-11 accept novelty 7.0 of 10

Any inclusive four-particle phase space integral of a massless QCD matrix element reduces to four master integrals, each computed analytically and numerically through order epsilon-four.
Automation of one-loop QCD corrections
hep-ph 2011-03 conditional novelty 6.0 of 10

Embedding OPP integrand reduction (CutTools) inside MadGraph yields MadLoop, a validated automatic generator of one-loop QCD amplitudes that, combined with MadFKS, produces full NLO cross sections for arbitrary Standa...

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Antenna subtraction at NNLO with hadronic initial states: initial-final configurations
hep-ph 2009-12 conditional novelty 6.0 of 10

The authors derive and integrate all initial-final antenna functions needed for NNLO antenna subtraction with one hadronic initial state, and cross-check the results against known deep inelastic coefficient functions.
First determination of the strong coupling constant using NNLO predictions for hadronic event shapes in e^+e^- annihilations
hep-ph 2007-12 accept novelty 6.0 of 10

Fitting newly available NNLO QCD predictions to six ALEPH event-shape distributions yields alpha_s(M_Z^2) = 0.1240 +/- 0.0033, about 10% below the NLO fit value with the scale uncertainty halved.
Gluon-Gluon Antenna Functions from Higgs Boson Decay
hep-ph 2005-02 conditional novelty 6.0 of 10

The infrared pole structure of colour-ordered Higgs-to-partons matrix elements at NLO and NNLO reproduces the singularity structure of gluon-gluon antenna functions, so those antenna functions can be derived from Higgs decay.
Quark-Gluon Antenna Functions from Neutralino Decay
hep-ph 2005-01 conditional novelty 6.0 of 10

Quark-gluon antenna functions, previously built by hand from their limiting behaviour, can be derived systematically from the colour-ordered matrix elements of neutralino decay into a gluino plus partons.
Two-Loop QCD Helicity Amplitudes for $e^+e^- \to 3$~Jets
hep-ph 2002-06 accept novelty 6.0 of 10

The paper presents the first analytic two-loop helicity amplitudes for a three-parton final state produced by an off-shell vector boson, written in one- and two-dimensional harmonic polylogarithms.
A general approach to jet cross sections in QCD
hep-ph 1997-06 conditional novelty 6.0 of 10

A general subtraction formalism plus a parton-level event generator that lets a single next-to-leading-order QCD run serve any jet definition or shape variable.
Jet production in the CoLoRFulNNLO method: event shapes in electron-positron collisions
hep-ph 2016-06 conditional novelty 5.0 of 10

A general local-subtraction method reproduces published NNLO event-shape distributions in electron-positron annihilation and yields the first NNLO prediction for the jet cone energy fraction.

How the literature uses it

4 arXiv papers cite this in 5 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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Compares with it 1 paper

[ref], we compare here the results for the BDK box and triangle diagrams [ref] (with the latter contributing only to the axial part), with that of their implementation in the program MENLO PARC [ref] .

Automation of one-loop QCD corrections · Closed fermion loops contributing to $e^+e^-→dgg$ · 0.99

Cites it as background 3 papers

Theoretical calculations of four-jet event shapes have generally achieved accuracy in $$ collisions [ref] .

Four-jet event shapes in hadronic Higgs decays · Introduction · 0.86
Four- and five-jet production [ref] , as well as the total cross section [ref] are also known including terms at $O(α_S^3)$,[In the case of four- and five-jet production, $O(α_S^3)$ accuracy corresponds to next-to-leading order (NLO) and leading order (LO) in perturbative QCD.

Determination of $\alpha_{S}$ beyond NNLO using event shape averages · Introduction · 0.93
Next-to-leading order (NLO) predictions for the production of up to five jets [ref] (and up to seven jets in the leading color approximation [ref] ) are also known.

Jet production in the CoLoRFulNNLO method: event shapes in electron-positron collisions · Introduction · 0.97

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