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This article is cited in 69 scientific papers (total in 69 papers)
The regional strategy in the asymptotic expansion of two-loop vertex Feynman diagrams
V. A. Smirnov, E. R. Rakhmetov M. V. Lomonosov Moscow State University
Abstract:
General prescriptions for evaluating coefficients at arbitrary powers and logarithms in the asymptotic expansion of Feynman diagrams in the Sudakov limit are discussed and illustrated with two-loop examples. Peculiarities connected with the evaluation of individual terms in the expansion, in particular, the introduction of an auxiliary analytic regularization, are characterized.
DOI:
https://doi.org/10.4213/tmf760
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Theoretical and Mathematical Physics, 1999, 120:1, 870–875
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Received: 28.12.1998
Citation:
V. A. Smirnov, E. R. Rakhmetov, “The regional strategy in the asymptotic expansion of two-loop vertex Feynman diagrams”, TMF, 120:1 (1999), 64–71; Theoret. and Math. Phys., 120:1 (1999), 870–875
Citation in format AMSBIB
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\pages 64--71
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\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 120
\issue 1
\pages 870--875
\crossref{https://doi.org/10.1007/BF02557396}
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http://mi.mathnet.ru/eng/tmf760https://doi.org/10.4213/tmf760 http://mi.mathnet.ru/eng/tmf/v120/i1/p64
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-
Smirnov, VA, “Problems of the strategy of regions”, Physics Letters B, 465:1–4 (1999), 226
-
Davydychev, AI, “Threshold expansion of the sunset diagram”, Nuclear Physics B, 554:1–2 (1999), 391
-
Kuhn, JH, “Subleading Sudakov logarithms in electroweak processes”, Nuclear Physics B-Proceedings Supplements, 89 (2000), 94
-
Smirnov, VA, “Analytical result for dimensionally regularized massless master double box with one leg off shell”, Physics Letters B, 491:1–2 (2000), 130
-
Kuhn, JH, “Summing up subleading Sudakov logarithms”, European Physical Journal C, 17:1 (2000), 97
-
Groote, S, “Threshold expansion of Feynman diagrams within a configuration space technique”, Nuclear Physics B, 580:1–2 (2000), 459
-
Smirnov, VA, “Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators”, Nuclear Physics B, 566:1–2 (2000), 469
-
Passarino, G, “An approach toward the numerical evaluation of multi-loop Feynman diagrams”, Nuclear Physics B, 619:1–3 (2001), 257
-
Bauer, CW, “Proof of factorization for B -> D pi”, Physical Review Letters, 8720:20 (2001), 201806
-
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-
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-
Bauer C.W., Fleming S., Pirjol D., Stewart I.W., “An effective field theory for collinear and soft gluons: Heavy to light decays”, Physical Review D, 63:11 (2001), 114020
-
Smirnov, VA, “The leading power Regge asymptotic behaviour of dimensionally regularized massless on-shell planar triple box”, Physics Letters B, 547:3–4 (2002), 239
-
Bauer, CW, “Power counting in the soft-collinear effective theory”, Physical Review D, 66:5 (2002), 054005
-
Chay, J, “Collinear effective theory at subleading order and its application to heavy-light currents”, Physical Review D, 65:11 (2002), 114016
-
Bauer, CW, “Soft-collinear factorization in effective field theory”, Physical Review D, 65:5 (2002), 054022
-
Smirnov, VA, “Applied asymptotic expansions in momenta and masses - Introduction”, Applied Asymptotic Expansions in Momenta and Masses, 177 (2002), 1
-
Smirnov, VA, “Analytical result for dimensionally regularized massive on-shell planar double box”, Physics Letters B, 524:1–2 (2002), 129
-
Smirnov, VA, “Solving recurrence relations for multi-loop Feynman integrals”, Nuclear Physics B, 672:1–2 (2003), 199
-
Smirnov, VA, “Analytical result for dimensionally regularized massless on-shell planar triple box”, Physics Letters B, 567:3–4 (2003), 193
-
Davydychev, AI, “Analytical evaluation of certain on-shell two-loop three-point diagrams”, Nuclear Instruments & Methods in Physics Research Section A-Accelerators Spectrometers Detectors and Associated Equipment, 502:2–3 (2003), 621
-
Moch, S, “Sudakov logarithms in four-fermion electroweak processes at high energy”, Nuclear Physics B-Proceedings Supplements, 116 (2003), 23
-
Smirnov, VA, “Evaluating double and triple (?) boxes”, Nuclear Physics B-Proceedings Supplements, 116 (2003), 417
-
Kuhn J.H., “Recent results on Sudakov logarithms in electroweak processes”, Ichep 2002, Proceedings, 2003, 220–223
-
Actis S., Passarino G., Ferroglia A., Passera M., Uccirati S., “Two-loop tensor integrals in quantum field theory”, Nuclear Phys. B, 703:1-2 (2004), 3–126
-
Smirnov, VA, “Evaluating multiloop Feynman integrals by Mellin-Barnes representation”, Nuclear Physics B-Proceedings Supplements, 135 (2004), 252
-
Penin, AA, “Two-loop logarithms in electroweak processes at high energies”, Nuclear Physics B-Proceedings Supplements, 135 (2004), 257
-
Feucht, B, “Two-loop Sudakov form factor in a theory with a mass gap”, Physical Review Letters, 93:10 (2004), 101802
-
Beneke, M, “Loop corrections to subleading heavy quark currents in SCET”, Nuclear Physics B, 692:1–2 (2004), 232
-
Beneke, M, “Factorization of heavy-to-light form factors in soft-collinear effective theory”, Nuclear Physics B, 685 (2004), 249
-
Becher, T, “Soft-collinear messengers: A new mode in soft-collinear effective theory”, Physical Review D, 69:5 (2004), 054017
-
Ferroglia, A, “Two-loop vertices in quantum field theory: infrared convergent scalar configurations”, Nuclear Physics B, 680:1–3 (2004), 199
-
D. V. Malyshev, “The Hopf graph algebra and renormalization group equations”, Theoret. and Math. Phys., 143:1 (2005), 505–514
-
Jantzen, B, “Two-loop electroweak logarithms in four-fermion processes at high energy”, Nuclear Physics B, 731:1–2 (2005), 188
-
Becher, T, “Factorization in B -> V gamma decays”, Physical Review D, 72:9 (2005), 094017
-
Bern, Z, “Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond”, Physical Review D, 72:8 (2005), 085001
-
Jantzen, B, “Two-loop high-energy electroweak logarithmic corrections in a spontaneously broken SU(2) gauge model”, Physical Review D, 72:5 (2005), 051301
-
Onishchenko, AI, “Special case of sunset: Reduction and epsilon expansion”, Physics of Atomic Nuclei, 68:8 (2005), 1405
-
Beccaria M., Mirabella E., “Supersymmetric structure of electroweak Sudakov corrections”, Phys. Rev. D, 71:11 (2005), 115016, 10 pp.
-
Penin, AA, “Two-loop electroweak corrections for four-fermion processes at LHC and ILC”, Nuclear Physics B-Proceedings Supplements, 160 (2006), 175
-
Groote, S, “Evaluating massive planar two-loop tensor vertex integrals”, European Physical Journal C, 46:1 (2006), 157
-
Jantzen, B, “The two-loop vector form factor in the Sudakov limit”, European Physical Journal C, 47:3 (2006), 671
-
Beneke, M, “Heavy-to-light B meson form factors at large recoil energy - spectator-scattering corrections”, Nuclear Physics B, 736:1–2 (2006), 34
-
Eiras D., Steinhauser M., “Two-loop O(alpha alpha(s)) corrections to the on-shell fermion propagator in the standard model”, Journal of High Energy Physics, 2006, no. 2, 010
-
Manohar, AV, “The zero-bin and mode factorization in quantum field theory”, Physical Review D, 76:7 (2007), 074002
-
Onishchenko, AI, “Two-loop QCD corrections to the leptonic constant of the B-c-meson”, European Physical Journal C, 50:4 (2007), 801
-
Bell G., Feldmann T., “Heavy-to-light form factors for non-relativistic bound states”, Nuclear Phys B Proc Suppl, 164 (2007), 189–192
-
Chiu, JY, “Electroweak corrections using effective field theory: Applications to the CERN LHC”, Physical Review D, 78:7 (2008), 073006
-
Kuhn, JH, “Hard scattering and electroweak corrections at high energies”, Acta Physica Polonica B, 39:7 (2008), 1639
-
Chiu, JY, “Electroweak corrections to high energy processes using effective field theory”, Physical Review D, 77:5 (2008), 053004
-
Chiu, JY, “Electroweak sudakov corrections using effective field theory”, Physical Review Letters, 100:2 (2008), 021802
-
Aglietti, U, “The two loop crossed ladder vertex diagram with two massive exchanges”, Nuclear Physics B, 789:1–2 (2008), 45
-
Chiu, JY, “Soft-collinear factorization and zero-bin subtractions”, Physical Review D, 79:5 (2009), 053007
-
Kirilin, GG, “(Z alpha)(4) order of the polarization operator in Coulomb field at low energy”, Nuclear Physics B, 807:1–2 (2009), 73
-
Chiu J.-yu., Fuhrer A., Kelley R., Manohar A.V., “Factorization structure of gauge theory amplitudes and application to hard scattering processes at the LHC”, Phys Rev D, 80:9 (2009), 094013
-
Degrassi G., Slavich P., “NLO QCD bottom corrections to Higgs boson production in the MSSM”, Journal of High Energy Physics, 2010, no. 11, 044
-
Hagiwara K., Kirilin G., “Angular distribution of thrust axis with power-suppressed contribution in e(+)e(-) annihilation”, Journal of High Energy Physics, 2010, no. 10, 093
-
Jantzen B., “Foundation and generalization of the expansion by regions”, Journal of High Energy Physics, 2011, no. 12, 076
-
Smirnov A.V., Smirnov V.A., Tentyukov M., “FIESTA 2: Parallelizeable multiloop numerical calculations”, Comput Phys Comm, 182:3 (2011), 790–803
-
Kivel N., “Factorizing the Hard and Soft Spectator Scattering Contributions for the Nucleon Form Factor F-1 at Large Q(2)”, Eur. Phys. J. A, 48:11 (2012), 156
-
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
-
Jantzen B., “New Proofs for the Two Barnes Lemmas and an Additional Lemma”, J. Math. Phys., 54:1 (2013), 012304
-
Henn J.M., Smirnov A.V., Smirnov V.A., “Evaluating Single-Scale and/Or Non-Planar Diagrams By Differential Equations”, J. High Energy Phys., 2014, no. 3, 088
-
von Manteuffel A., Panzer E., Schabinger R.M., “A Quasi-Finite Basis For Multi-Loop Feynman Integrals”, J. High Energy Phys., 2015, no. 2, 120, 1–21
-
Degrassi G., Giardino P.P., Grober R., “On the two-loop virtual QCD corrections to Higgs boson pair production in the standard model”, Eur. Phys. J. C, 76:7 (2016), 411
-
Henn J.M., Smirnov A.V., Smirnov V.A., Steinhauser M., “A planar four-loop form factor and cusp anomalous dimension in QCD”, J. High Energy Phys., 2016, no. 5, 066
-
Boggia M., Cruz-Martinez J.M., Frellesvig H., Glover N., Gomez-Ambrosio R., Gonella G., Haddad Y., Ilnicka A., Jones S., Kassabov Z., Krauss F., Megy T., Melini D., Napoletano D., Passarino G., Patel S., Rodriguez-Vazquez M., Wolf T., “The Higgstools Handbook: a Beginners Guide to Decoding the Higgs Sector”, J. Phys. G-Nucl. Part. Phys., 45:6 (2018), 065004
-
Bezuglov M.A., Onishchenko A.I., “Two-Loop Corrections to False Vacuum Decay in Scalar Field Theory”, Phys. Lett. B, 788 (2019), 122–130
-
Shafaq S., Ahmed I., Aslam M.J., “Symmetry-Breaking Corrections to the Form Factors For Heavy-to-Heavy B-Meson At Large Recoil”, Int. J. Mod. Phys. A, 34:8 (2019), 1950046
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