Asymptotic Expansions of Feynman Integrals on the Mass Shell in Momenta and Masses

V.A. Smirnov

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Asymptotic Expansions of Feynman Integrals on the Mass Shell in Momenta and Masses

V.A. Smirnov

High Energy Physics - Phenomenology · Submitted 21 Aug 1997

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

The authors' main claim A brief review of recent results on asymptotic expansions of Feynman integrals on the mass shell in momenta and masses and their application to 2-loop calculations is presented.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.12 · mentions code or data availability 0.02.

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A brief review of recent results on asymptotic expansions of Feynman integrals on the mass shell in momenta and masses and their application to 2-loop calculations is presented.

background contribution method result interpretation main claim

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	A brief review of recent results on asymptotic expansions of Feynman integrals on the mass shell in momenta and masses and their application to 2-loop calculations is presented.	contribution 0.88	0.24	0.26	asserted 0.83

What kind of paper the classifier reports this is: review 1.00 · evidence from literature 0.95.

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The paper

Original abstract

A brief review of recent results on asymptotic expansions of Feynman integrals on the mass shell in momenta and masses and their application to 2-loop calculations is presented.

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References

Forward citations

Cited by 3 Pith papers

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

Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
hep-ph 2000-05 accept novelty 8.0 of 10

A new effective field theory with separate collinear and soft fields matches onto QCD without large logarithms at one loop and reproduces the known leading-log resummation of Sudakov logarithms in B to X_s gamma.
Asymptotic expansion of Feynman integrals near threshold
hep-ph 1997-11 conditional novelty 8.0 of 10

A general, region-by-region prescription for the asymptotic expansion of multi-loop Feynman integrals near threshold, validated against exact one- and two-loop results.
Problems of the Strategy of Regions
hep-ph 1999-07 accept novelty 5.0 of 10

The standard list of momentum regions used to expand two-loop Feynman integrals is incomplete: a previously unrecognized 'ultracollinear' region is required for pole cancellation, and the strategy can be restated as a...

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1 arXiv paper cite this in 1 sentence

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From the strategy of asymptotic expansion [ref] , these IRC behaviours should be exactly removed by the product of $𝒵_ℬ_+$, $𝒵_ℬ_-$ and $𝒵_𝒮$ and thus $ℋ^V_ij$ is left as a finite quantity.

The $q_T$ and $\Delta\phi$ spectra in W and Z production at the LHC at N$^3$LL'+N$^2$LO · Factorisation and fixed-order functions · 0.93

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