N. I. Usyukina, “Algorithm for calculating massless Feynman diagrams”, TMF, 79:1 (1989), 63–71; Theoret. and Math. Phys., 79:1 (1989), 385

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Teoreticheskaya i Matematicheskaya Fizika, 1989, Volume 79, Number 1, Pages 63–71 (Mi tmf4809)

This article is cited in 17 scientific papers (total in 17 papers)

Algorithm for calculating massless Feynman diagrams

N. I. Usyukina

Full-text PDF (683 kB) Citations (17)

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Abstract: A method is suggested for calculating many-loop massless Feynman graphs. The method exploits the Mellin expansions and unicality relations for vertices and triangles in the Mellin representation.

Received: 02.05.1988

English version:
Theoretical and Mathematical Physics, 1989, Volume 79, Issue 1, Pages 385–391
DOI: https://doi.org/10.1007/BF01015778

Bibliographic databases:

Language: Russian

Citation: N. I. Usyukina, “Algorithm for calculating massless Feynman diagrams”, TMF, 79:1 (1989), 63–71; Theoret. and Math. Phys., 79:1 (1989), 385–391

Citation in format AMSBIB

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\by N.~I.~Usyukina

\paper Algorithm for calculating massless Feynman diagrams

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\yr 1989

\vol 79

\issue 1

\pages 63--71

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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1000943}

\transl

\jour Theoret. and Math. Phys.

\yr 1989

\vol 79

\issue 1

\pages 385--391

\crossref{https://doi.org/10.1007/BF01015778}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1989CA79100006}

Linking options:

https://www.mathnet.ru/eng/tmf4809

https://www.mathnet.ru/eng/tmf/v79/i1/p63

This publication is cited in the following 17 articles:

Anatoly V. Kotikov, “Effective Quantum Field Theory Methods for Calculating Feynman Integrals”, Symmetry, 16:1 (2023), 52
Kotikov V A., “Some Examples of Calculation of Massless and Massive Feynman Integrals”, Particles, 4:3 (2021), 361–380
Anatoly V. Kotikov, “About Calculation of Massless and Massive Feynman Integrals”, Particles, 3:2 (2020), 394
Mikhail Goykhman, Michael Smolkin, “Vector model in various dimensions”, Phys. Rev. D, 102:2 (2020)
Mikhailov S.V. Volchanskiy N., “Two-Loop Kite Master Integral For a Correlator of Two Composite Vertices”, J. High Energy Phys., 2019, no. 1, 202
Nikolay M. Nikolov, Raymond Stora, Ivan Todorov, Springer Proceedings in Mathematics & Statistics, 36, Lie Theory and Its Applications in Physics, 2013, 127
P.A. Baikov, K.G. Chetyrkin, “Four loop massless propagators: An algebraic evaluation of all master integrals”, Nuclear Physics B, 837:3 (2010), 186
Patrick Liniger, “The decayb→sgat NLL in the standard model”, J. Phys. G: Nucl. Part. Phys., 27:6 (2001), 1193
Christoph Greub, Patrick Liniger, “Calculation of next-to-leading QCD corrections tob→sg”, Phys. Rev. D, 63:5 (2001)
Christoph Greub, Patrick Liniger, “The rare decay b→sg beyond leading logarithms”, Physics Letters B, 494:3-4 (2000), 237
Christoph Greub, Tobias Hurth, Daniel Wyler, “Virtual corrections to the decay b → s + γ”, Physics Letters B, 380:3-4 (1996), 385
Christoph Greub, Tobias Hurth, Daniel Wyler, “VirtualO(αs)corrections to the inclusive decayb→sγ”, Phys. Rev. D, 54:5 (1996), 3350
Natalia I Ussyukina, Andrei I Davydychev, “Two-loop three-point diagrams with irreducible numerators”, Physics Letters B, 348:3-4 (1995), 503
I.L. Buchbinder, S.M. Kuzenko, A.Yu. Petrov, “Superfield chiral effective potential”, Physics Letters B, 321:4 (1994), 372
N.I. Ussyukina, A.I. Davydychev, “An approach to the evaluation of three- and four-point ladder diagrams”, Physics Letters B, 298:3-4 (1993), 363
N. I. Usyukina, “Calculation of multiloop diagrams of arbitrary orders”, Theoret. and Math. Phys., 87:3 (1991), 627–632
E. E. Boos, A. I. Davydychev, “A method of calculating massive Feynman integrals”, Theoret. and Math. Phys., 89:1 (1991), 1052–1064

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	377
Full-text PDF :	122
References:	60
First page:	1

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