Large momentum expansion of two-loop self-energy diagrams with arbitrary masses

A.I. Davydychev; J.B. Tausk; V.A. Smirnov

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Large momentum expansion of two-loop self-energy diagrams with arbitrary masses

A.I. Davydychev, V.A. Smirnov, J.B. Tausk

High Energy Physics - Phenomenology · Submitted 30 Jul 1993

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

The authors' main claim For some two-loop diagrams occurring in the Standard Model, comparison with results of numerical integration shows that our expansion works well in the region above the highest physical threshold.

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arXiv IDhep-ph/9307371 (version 1)

Pith IDLXB5GOEQ, Pith's permanent record of this paper and its review

CitationA.I. Davydychev, J.B. Tausk, V.A. Smirnov. "Large momentum expansion of two-loop self-energy diagrams with arbitrary masses." arXiv:hep-ph/9307371 (1993). https://pith.science/paper/LXB5GOEQ

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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,922 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.73 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.91 · 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.

For two-loop two-point diagrams with arbitrary masses, an algorithm to derive the asymptotic expansion at large external momentum squared is constructed. By using a general theorem on asymptotic expansions of Feynman diagrams, the coefficients of the expansion are calculated analytically. For some two-loop diagrams occurring in the Standard Model, comparison with results of numerical integration shows that our expansion works well in the region above the highest physical threshold.

background contribution method result interpretation main claim

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	For two-loop two-point diagrams with arbitrary masses, an algorithm to derive the asymptotic expansion at large external momentum squared is constructed.	contribution 0.92	0.94	0.47	asserted 1.00
s1	By using a general theorem on asymptotic expansions of Feynman diagrams, the coefficients of the expansion are calculated analytically.	method 0.96	0.89	0.17	asserted 1.00
s2	For some two-loop diagrams occurring in the Standard Model, comparison with results of numerical integration shows that our expansion works well in the region above the highest physical threshold.	result 0.94	0.93	0.38	asserted 0.96

What kind of paper the classifier reports this is: method or tool 0.96 · evidence from proof or derivation 0.99.

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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

For two-loop two-point diagrams with arbitrary masses, an algorithm to derive the asymptotic expansion at large external momentum squared is constructed. By using a general theorem on asymptotic expansions of Feynman diagrams, the coefficients of the expansion are calculated analytically. For some two-loop diagrams occurring in the Standard Model, comparison with results of numerical integration shows that our expansion works well in the region above the highest physical threshold.

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References

Forward citations

Cited by 5 Pith papers

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

Higgs boson mass in the Standard Model at two-loop order and beyond
hep-ph 2014-07 accept novelty 6.0 of 10

A complete two-loop calculation of the Standard Model Higgs pole mass in terms of MS Lagrangian parameters, with leading three-loop corrections and a public code, sharpening the map from measured Higgs mass to Higgs s...
Momentum-dependent two-loop QCD corrections to the neutral Higgs-boson masses in the MSSM
hep-ph 2014-04 conditional novelty 6.0 of 10

Momentum-dependent two-loop QCD corrections shift the light MSSM Higgs mass by up to roughly 0.5 GeV, comparable to current experimental precision, and are now included in the FeynHiggs code.
TSIL: a program for the calculation of two-loop self-energy integrals
hep-ph 2005-01 accept novelty 6.0 of 10

The paper documents TSIL, a C library that computes all two-loop self-energy basis integrals for arbitrary masses and momentum, by analytic polylogarithms where known and by Runge-Kutta integration of their differenti...
Two-loop effective potential for a general renormalizable theory and softly broken supersymmetry
hep-ph 2001-11 accept novelty 6.0 of 10

The paper derives the complete two-loop effective potential for a general renormalizable theory in MS-bar, DR-bar, and DR-bar-prime schemes, together with the two-loop DR to DR-prime parameter redefinition and the vac...
Evaluation of the general 3-loop vacuum Feynman integral
hep-ph 2016-10 accept novelty 5.0 of 10

A public C library computes general three-loop vacuum Feynman basis integrals for arbitrary masses by numerically integrating coupled differential equations from known one-scale boundary conditions.

How the literature uses it

3 arXiv papers cite this in 3 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 · 1 sentence without a confident label

Uses its method or tool 1 paper

We determined these expansions by using our own implementation of the algorithm described in Ref. [ref] .

Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders · UV asymptotic behavior · 1.00

Cites it as background 1 paper

For two-loop diagrams of propagator type, analytical results in four space-time dimensions are known only sparsely if different masses are occurring in the loops [ref] .

Momentum-dependent two-loop QCD corrections to the neutral Higgs-boson masses in the MSSM · The program · 0.80

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