Subtraction terms for one-loop amplitudes with one unresolved parton

Stefan Weinzierl

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Subtraction terms for one-loop amplitudes with one unresolved parton

Stefan Weinzierl

High Energy Physics - Phenomenology · Submitted 25 Jun 2003

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

The authors' main claim In this paper I give all subtraction terms for electron-positron annihilation associated with one-loop amplitudes with one unresolved parton.

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What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.23 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.25 · mentions code or data availability 0.03.

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Fully differential next-to-next-to-leading order calculations require a method to cancel infrared singularities. In a previous publication, I discussed the general setup for the subtraction method at NNLO. In this paper I give all subtraction terms for electron-positron annihilation associated with one-loop amplitudes with one unresolved parton. These subtraction terms are integrated within dimensional regularization over the unresolved one-particle phase space. The results can be used with all variants of dimensional regularization (conventional dimensional regularization, the 't Hooft-Veltman scheme and the four-dimensional scheme).

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Fully differential next-to-next-to-leading order calculations require a method to cancel infrared singularities.	background 1.00	0.07	0.04	asserted 1.00
s1	In a previous publication, I discussed the general setup for the subtraction method at NNLO.	background 1.00	0.38	0.02	asserted 0.99
s2	In this paper I give all subtraction terms for electron-positron annihilation associated with one-loop amplitudes with one unresolved parton.	contribution 1.00	0.94	0.77	asserted 1.00
s3	These subtraction terms are integrated within dimensional regularization over the unresolved one-particle phase space.	method 0.83	0.86	0.10	asserted 1.00
s4	The results can be used with all variants of dimensional regularization (conventional dimensional regularization, the 't Hooft-Veltman scheme and the four-dimensional scheme).	interpretation 0.56	0.65	0.11	asserted 0.74

What kind of paper the classifier reports this is: theoretical result 0.70 · evidence from proof or derivation 1.00.

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The paper

Original abstract

Fully differential next-to-next-to-leading order calculations require a method to cancel infrared singularities. In a previous publication, I discussed the general setup for the subtraction method at NNLO. In this paper I give all subtraction terms for electron-positron annihilation associated with one-loop amplitudes with one unresolved parton. These subtraction terms are integrated within dimensional regularization over the unresolved one-particle phase space. The results can be used with all variants of dimensional regularization (conventional dimensional regularization, the 't Hooft-Veltman scheme and the four-dimensional scheme).

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References

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Cited by 23 Pith papers

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How the literature uses it

12 arXiv papers cite this in 13 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

Papers citing it · 2 sentences without a confident label

Cites it as background 10 papers

The factorisation properties of colour-ordered amplitudes in their soft and collinear limits has been extensively studied in [ref] .

NNLO QCD subtraction for top-antitop production in the $q\bar{q}$ channel · Single unresolved factors at one-loop · 0.97
In recent years a lot of effort has been devoted to the extension of the subtraction method to the computation of radiative corrections at the NNLO accuracy [ref] .

Subtraction with hadronic initial states at NLO: an NNLO-compatible scheme · Introduction · 0.97
In recent years, severe efforts have been made to extend the subtraction method to NNLO accuracy [ref] , and this has proved to be a challenging problem.

NNLO jet cross sections by subtraction · Introduction · 0.91

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