Geodesic
The regional strategy in the asymptotic expansion of two-loop vertex Feynman diagrams
Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 1, pp. 64-71 
V. A. Smirnov; E. R. Rakhmetov. The regional strategy in the asymptotic expansion of two-loop vertex Feynman diagrams. Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 1, pp. 64-71. http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a4/
@article{TMF_1999_120_1_a4,
     author = {V. A. Smirnov and E. R. Rakhmetov},
     title = {The regional strategy in the asymptotic expansion of two-loop vertex {Feynman} diagrams},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {64--71},
     year = {1999},
     volume = {120},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a4/}
}
TY  - JOUR
AU  - V. A. Smirnov
AU  - E. R. Rakhmetov
TI  - The regional strategy in the asymptotic expansion of two-loop vertex Feynman diagrams
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1999
SP  - 64
EP  - 71
VL  - 120
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a4/
LA  - ru
ID  - TMF_1999_120_1_a4
ER  - 
%0 Journal Article
%A V. A. Smirnov
%A E. R. Rakhmetov
%T The regional strategy in the asymptotic expansion of two-loop vertex Feynman diagrams
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1999
%P 64-71
%V 120
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a4/
%G ru
%F TMF_1999_120_1_a4

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] S. G. Gorishnii, On the construction of operator expansions and effective theories in the MS-scheme. General formalism, Preprint OIYaI E2-86-176, OIYaI, Dubna, 1986 ; On the construction of operator expansions and effective theories in the MS-scheme. Examples. Infrared finiteness of coefficient functions, Препринт ОИЯИ E2-86-177, ОИЯИ, Дубна, 1986; Nucl. Phys. B, 319 (1989), 633 | MR | DOI

[2] K. G. Chetyrkin, TMF, 75 (1988), 26 ; 76, 207 | MR | MR

[3] V. A. Smirnov, Commun. Math. Phys., 134 (1990), 109 ; Renormalization and asymptotic expansions, Birkhäuser, Basel, 1991 | DOI | MR | Zbl

[4] V. A. Smirnov, Mod. Phys. Lett. A, 10 (1995), 1485 ; “Asymptotic expansions of Feynman integrals on the mass shell in momenta and masses”, Proc. of the 5th International Conference on Physics beyond the Standard Model (Balholm, Norway, 1997), eds. G. Eigen, P. Osland, B. Stugu, AIP, N. Y., 1997, 354 ; E-print hep-ph/9708423 | DOI

[5] V. A. Smirnov, Phys. Lett. B, 394 (1997), 205 | DOI

[6] A. Czarnecki, V. A. Smirnov, Phys. Lett. B, 394 (1997), 211 | DOI

[7] V. A. Smirnov, Phys. Lett. B, 404 (1997), 101 | DOI

[8] M. Beneke, V. A. Smirnov, Nucl. Phys. B, 522 (1998), 321 | DOI

[9] J. C. Collins, “Sudakov form factors”, Perturbative QCD, ed. A. H. Mueller, World Scientific, Singapore, 1989, 573 | DOI | Zbl

[10] V. V. Sudakov, ZhETF, 30 (1956), 87 | Zbl

[11] N. I. Ussyukina, A. I. Davydychev, Phys. Lett. B, 298 (1993), 363 | DOI | MR

[12] G. 't Hooft, M. Veltman, Nucl. Phys. B, 44 (1972), 189 | DOI | MR

[13] R. J. Gonsalves, Phys. Rev. D, 28 (1983), 1542 | DOI

[14] K. G. Chetyrkin, F. V. Tkachov, Nucl. Phys. B, 192 (1981), 159 | DOI

[15] G. Kramer, B. Lampe, J. Math. Phys., 28 (1997), 945 | DOI | MR