Аннотация:
В рамках подхода к операторным разложениям, развитого в работах [1–3], в произвольной модели доказаны конечность коэффициентных
функций операторного разложения (перенормированного в схеме минимальных
вычитаний) и выведены удобные на практике явные формулы для их вычисления.
Образец цитирования:
К. Г. Четыркин, “Операторные разложения в схеме минимальных вычитаний.
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Yao Ma, “Identifying regions in wide-angle scattering via graph-theoretical approaches”, J. High Energ. Phys., 2024:9 (2024)
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)
A. V. Belitsky, L. V. Bork, V. A. Smirnov, “Off-shell form factor in N=4 sYM at three loops”, J. High Energ. Phys., 2023:11 (2023)
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
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
Vladimir A. Smirnov, Springer Tracts in Modern Physics, 250, Analytic Tools for Feynman Integrals, 2012, 203
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 electroweak corrections to Δr”, Nuclear Physics B - Proceedings Supplements, 116 (2003), 235
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)
Smirnov, VA, “Applied asymptotic expansions in momenta and masses - Introduction”, Applied Asymptotic Expansions in Momenta and Masses, 177 (2002), 1
S. Laporta, “High-precision ϵ-expansions of massive four-loop vacuum bubbles”, Physics Letters B, 549:1-2 (2002), 115
Цитирование в формате AMSBIB
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