K. G. Chetyrkin, “Operator expansions in the minimal subtraction scheme. I. The gluing method”, TMF, 75:1 (1988), 26–40; Theoret. and Math. Phys., 75:1 (1988), 346

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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 75, Number 1, Pages 26–40 (Mi tmf4664)

This article is cited in 57 scientific papers (total in 57 papers)

Operator expansions in the minimal subtraction scheme. I. The gluing method

K. G. Chetyrkin

Full-text PDF (1564 kB) Citations (57)

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Abstract: The operator expansion at short distances is derived in the framework of the minimal subtraction scheme.

Received: 18.09.1986

English version:
Theoretical and Mathematical Physics, 1988, Volume 75, Issue 1, Pages 346–356
DOI: https://doi.org/10.1007/BF01017168

Bibliographic databases:

Language: Russian

Citation: K. G. Chetyrkin, “Operator expansions in the minimal subtraction scheme. I. The gluing method”, TMF, 75:1 (1988), 26–40; Theoret. and Math. Phys., 75:1 (1988), 346–356

Citation in format AMSBIB

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\by K.~G.~Chetyrkin

\paper Operator expansions in the minimal subtraction scheme. I.~The gluing method

\jour TMF

\yr 1988

\vol 75

\issue 1

\pages 26--40

\mathnet{http://mi.mathnet.ru/tmf4664}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=955665}

\transl

\jour Theoret. and Math. Phys.

\yr 1988

\vol 75

\issue 1

\pages 346--356

\crossref{https://doi.org/10.1007/BF01017168}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U172800003}

Linking options:

https://www.mathnet.ru/eng/tmf4664

https://www.mathnet.ru/eng/tmf/v75/i1/p26

Cycle of papers

Operator expansions in the minimal subtraction scheme. I. The gluing method
K. G. Chetyrkin
TMF, 1988, 75:1, 26–40
Operator expansions in the minimal subtraction scheme. II. Explicit formulas for coefficient functions
K. G. Chetyrkin
TMF, 1988, 76:2, 207–218

This publication is cited in the following 57 articles:

Mrigankamauli Chakraborty, Franz Herzog, “The asymptotic Hopf algebra of Feynman integrals”, J. High Energ. Phys., 2025:1 (2025)
John Ellis, Hong-Jian He, Rui-Qing Xiao, Shi-Ping Zeng, Jiaming Zheng, “UV completion of neutral triple gauge couplings”, Phys. Rev. D, 111:1 (2025)
Wen Chen, “Unregulated divergences of Feynman integrals”, Physics Letters B, 862 (2025), 139299
V. A. Smirnov, “Simplifying the large-mass expansion of Feynman integrals”, Theoret. and Math. Phys., 219:3 (2024), 986–991
Yao Ma, “Identifying regions in wide-angle scattering via graph-theoretical approaches”, J. High Energ. Phys., 2024:9 (2024)
A. V. Belitsky, L. V. Bork, V. A. Smirnov, “Off-shell form factor in $\mathcal{N}$ =4 sYM at three loops”, J. High Energ. Phys., 2023:11 (2023)
Einan Gardi, Franz Herzog, Stephen Jones, Yao Ma, Johannes Schlenk, “The on-shell expansion: from Landau equations to the Newton polytope”, J. High Energ. Phys., 2023:7 (2023)
Vladimir A. Smirnov, Texts & Monographs in Symbolic Computation, Anti-Differentiation and the Calculation of Feynman Amplitudes, 2021, 487
Tatiana Yu. Semenova, Alexander V. Smirnov, Vladimir A. Smirnov, “On the status of expansion by regions”, Eur. Phys. J. C, 79:2 (2019)
Roman N. Lee, Alexander V. Smirnov, Vladimir A. Smirnov, “Evaluating 'elliptic' master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points”, J. High Energ. Phys., 2018:7 (2018)
J. Ablinger, J. Blümlein, A. De Freitas, A. Hasselhuhn, C. Schneider, F. Wißbrock, “Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses”, Nuclear Physics B, 921 (2017), 585
Jantzen B. Smirnov A.V. Smirnov V.A., “Expansion by Regions: Revealing Potential and Glauber Regions Automatically”, Eur. Phys. J. C, 72:9 (2012), 2139
Vladimir A. Smirnov, Springer Tracts in Modern Physics, 250, Analytic Tools for Feynman Integrals, 2012, 203
Burkhard Eden, Paul Heslop, Gregory P. Korchemsky, Vladimir A. Smirnov, Emery Sokatchev, “Five-loop Konishi in N=4 SYM”, Nuclear Physics B, 862:1 (2012), 123
A. Kotikov, J.H. Kühn, O. Veretin, “Two-loop formfactors in theories with mass gap and Z-boson production”, Nuclear Physics B, 788:1-2 (2008), 47
Jantzen, B, “The two-loop vector form factor in the Sudakov limit”, European Physical Journal C, 47:3 (2006), 671
Bernd A. Kniehl, Anatoly V. Kotikov, “Calculating four-loop tadpoles with one non-zero mass”, Physics Letters B, 638:5-6 (2006), 531
Bern, Z, “Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond”, Physical Review D, 72:8 (2005), 085001
A Onishchenko, O Veretin, “Two-loop bosonic electroweak corrections to the muon lifetime and MZ–MW interdependence”, Physics Letters B, 551:1-2 (2003), 111
M. Awramik, M. Czakon, A. Onishchenko, O. Veretin, “Bosonic corrections toΔrat the two-loop level”, Phys. Rev. D, 68:5 (2003)

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

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