Computation of NLO Processes Involving Heavy Quarks Using Loop-Tree Duality

Felix Driencourt-Mangin

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Computation of NLO Processes Involving Heavy Quarks Using Loop-Tree Duality

Felix Driencourt-Mangin

High Energy Physics - Phenomenology · Submitted 22 Nov 2016

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

The authors' main claim We present a new method to compute higher-order corrections to physical cross-sections, at Next-to-Leading Order and beyond.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,265 input tokens.

What the abstract itself states, as probabilities: claims first 0.12 · states limitation 0.76 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.15 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We present a new method to compute higher-order corrections to physical cross-sections, at Next-to-Leading Order and beyond. This method, based on the Loop Tree Duality, leads to locally integrable expressions in four dimensions. By introducing a physically motivated momentum mapping between the momenta involved in the real and the virtual contributions, infrared singularities naturally cancel at integrand level, without the need to introduce subtraction counter-terms. Ultraviolet singularities are dealt with by using dual representations of suitable counter-terms, with some subtleties regarding the self-energy contributions. As an example, we apply this method to compute the $1\to2$ decay rate in the context of a scalar toy model with massive particles.

background contribution method result interpretation main claim

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	We present a new method to compute higher-order corrections to physical cross-sections, at Next-to-Leading Order and beyond.	contribution 1.00	0.94	0.43	asserted 1.00
s1	This method, based on the Loop Tree Duality, leads to locally integrable expressions in four dimensions.	method 0.70	0.82	0.15	asserted 1.00
s2	By introducing a physically motivated momentum mapping between the momenta involved in the real and the virtual contributions, infrared singularities naturally cancel at integrand level, without the need to introduce subtraction counter-terms.	method 0.93	0.87	0.34	asserted 1.00
s3	Ultraviolet singularities are dealt with by using dual representations of suitable counter-terms, with some subtleties regarding the self-energy contributions.	method 0.93	0.82	0.06	asserted 1.00
s4	As an example, we apply this method to compute the $1\to2$ decay rate in the context of a scalar toy model with massive particles.	contribution 0.51	0.95	0.06	asserted 0.99

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from proof or derivation 0.79.

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arXiv listing abstract v1

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full text
figures and tables
references and citing sentences
relations to other papers

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P abstract

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S sections
T body sentences
C citations
R cross-paper relations

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 present a new method to compute higher-order corrections to physical cross-sections, at Next-to-Leading Order and beyond. This method, based on the Loop Tree Duality, leads to locally integrable expressions in four dimensions. By introducing a physically motivated momentum mapping between the momenta involved in the real and the virtual contributions, infrared singularities naturally cancel at integrand level, without the need to introduce subtraction counter-terms. Ultraviolet singularities are dealt with by using dual representations of suitable counter-terms, with some subtleties regarding the self-energy contributions. As an example, we apply this method to compute the $1\to2$ decay rate in the context of a scalar toy model with massive particles.

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References

Forward citations

Cited by 2 Pith papers

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

May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
hep-ph 2020-12 conditional novelty 5.0 of 10

The report compares FDH/DRED, FDR, FDU, IREG, local analytic sector subtraction, qT subtraction, and antenna subtraction for NNLO calculations, adding new NNLO results for H to b bbar and gamma to q qbar in FDH/DRED and FDR.
To $d$, or not to $d$: Recent developments and comparisons of regularization schemes
hep-ph 2017-05 accept novelty 3.0 of 10

The paper reviews and compares dimensional and four-dimensional regularization schemes, showing through explicit NLO calculations that they yield the same physical cross section while differing in intermediate bookkeeping.

How the literature uses it

3 arXiv papers cite this in 6 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 whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

We present a new algorithm to construct a purely four dimensional representation of higher-order perturbative corrections to physical cross-sections at next-to-leading order (NLO).

Four-dimensional unsubtraction from the loop-tree duality · 0.84

Papers citing it · 3 sentences without a confident label

Builds on it 1 paper

In this chapter, we have generalised the FDU method [ref] to deal with massive particles.

Four-dimensional representation of scattering amplitudes and physical observables through the application of the Loop-Tree Duality theorem · Conclusion · 0.99

Cites it as background 2 papers

[ref] Rodrigo:2016hqc [ref] Hernandez-Pinto:2016uwx [ref] Sborlini:2016bod [ref] Driencourt-Mangin:2016dpf [ref] Sborlini:2017mhc [ref] Sborlini:2017nee [ref] Rodrigo:2018jme [ref] Bendavid:2018nar

Four-dimensional representation of scattering amplitudes and physical observables through the application of the Loop-Tree Duality theorem · Proceedings · 0.83
The four-dimensional unsubtraction () [ref] approach constitutes an alternative to the traditional subtraction method.

To $d$, or not to $d$: Recent developments and comparisons of regularization schemes · FDU: Four-dimensional unsubtraction · 0.81

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