Towards automatic analytic evaluation of massive Feynman diagrams

Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Volumn 389, Issue 1-2, 1997, Pages 343-346

  Avdeev, L V ^a   Fleischer, J ^a   Kalmykov, M Yu ^a   Tentyukov, M ^a  

^a BIELEFELD UNIVERSITY   (Germany)

Author keywords

Anomalous magnetic moment; Asymptotic expansion; Standard model

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; AUTOMATION; C (PROGRAMMING LANGUAGE); CALCULATIONS; COMPUTER SOFTWARE; ELEMENTARY PARTICLES; MAGNETIC MOMENTS;

FEYNMAN DIAGRAM; MUON; STANDARD MODEL;

GRAPH THEORY;

EID: 0031118303     PISSN: 01689002     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9002(97)00125-3     Document Type: Article

References (26)

1. T. Ishikawa et al., Minami-Tateya group GRACE manual, KEK-92-19, 1993.
2. J. Kublbeck, M. Böhm and A. Denner, Comp. Phys. Comm. 60 (1990) 165.
3. P. Nogueira, J. Comput. Phys. 105 (1993) 279.
4. J.A.M. Vermaseren, Symbolic manipulation with FORM, Amsterdam, Computer Algebra Nederland, 1991.
5. T.V. Kukhto, E.A. Kuraev, A. Schiller and Z.K. Silagadze, Nucl. Phys. B 371 (1992) 567; E.A. Kuraev, T.V. Kukhto and A. Schiller, Sov. J. Nucl. Phys. 51 (1990) 1031.
6. T.V. Kukhto, E.A. Kuraev, A. Schiller and Z.K. Silagadze, Nucl. Phys. B 371 (1992) 567; E.A. Kuraev, T.V. Kukhto and A. Schiller, Sov. J. Nucl. Phys. 51 (1990) 1031.
7. A. Czarnecki, B. Krause and W. Marciano, Phys. Rev. D 52 (1995) R2619; Phys. Rev. Lett. 76 (1996) 3267; Preprint TTP96-21 (hep-ph/9606393).
8. A. Czarnecki, B. Krause and W. Marciano, Phys. Rev. D 52 (1995) R2619; Phys. Rev. Lett. 76 (1996) 3267; Preprint TTP96-21 (hep-ph/9606393).
9. R.Z. Roskies, E. Remiddi and M.J. Levine, in: Quantum Electrodynamics, ed. T. Kinoshita (World Scientific, Singapore, 1990) p. 163.
10. J. Fleischer and O.V. Tarasov, Z. Phys. C 64 (1994) 413; J. Fleischer, Int. J. Mod. Phys. C 6 (1995) 495; J. Fleischer, V.A. Smirnov and O.V. Tarasov, Preprint Bi-TP 95/39, to be published in: Z. Phys. C (hep-ph/9605392).
11. J. Fleischer and O.V. Tarasov, Z. Phys. C 64 (1994) 413; J. Fleischer, Int. J. Mod. Phys. C 6 (1995) 495; J. Fleischer, V.A. Smirnov and O.V. Tarasov, Preprint Bi-TP 95/39, to be published in: Z. Phys. C (hep-ph/9605392).
12. J. Fleischer and O.V. Tarasov, Z. Phys. C 64 (1994) 413; J. Fleischer, Int. J. Mod. Phys. C 6 (1995) 495; J. Fleischer, V.A. Smirnov and O.V. Tarasov, Preprint Bi-TP 95/39, to be published in: Z. Phys. C (hep-ph/9605392).
13. F.V. Tkachov, Preprint INR P-0358, Moscow, 1984; Int. J. Mod. Phys. A 8 (1993) 2047; G.B. Pivovarov and F.V. Tkachov, Preprint INR P-0370, Moscow, 1984; Preprint INR P-0459, Moscow, 1986; Int. J. Mod. Phys. A 8 (1993) 2241; S.G. Oorishny and S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; ibid. 76 (1988) 207; Preprint MPI-PAE/PTh-13/91, Munich, 1991; V.A. Smirnov, Comm. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansions (Bikrhäuser, Basel, 1991).
14. F.V. Tkachov, Preprint INR P-0358, Moscow, 1984; Int. J. Mod. Phys. A 8 (1993) 2047; G.B. Pivovarov and F.V. Tkachov, Preprint INR P-0370, Moscow, 1984; Preprint INR P-0459, Moscow, 1986; Int. J. Mod. Phys. A 8 (1993) 2241; S.G. Oorishny and S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; ibid. 76 (1988) 207; Preprint MPI-PAE/PTh-13/91, Munich, 1991; V.A. Smirnov, Comm. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansions (Bikrhäuser, Basel, 1991).
15. F.V. Tkachov, Preprint INR P-0358, Moscow, 1984; Int. J. Mod. Phys. A 8 (1993) 2047; G.B. Pivovarov and F.V. Tkachov, Preprint INR P-0370, Moscow, 1984; Preprint INR P-0459, Moscow, 1986; Int. J. Mod. Phys. A 8 (1993) 2241; S.G. Oorishny and S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; ibid. 76 (1988) 207; Preprint MPI-PAE/PTh-13/91, Munich, 1991; V.A. Smirnov, Comm. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansions (Bikrhäuser, Basel, 1991).
16. F.V. Tkachov, Preprint INR P-0358, Moscow, 1984; Int. J. Mod. Phys. A 8 (1993) 2047; G.B. Pivovarov and F.V. Tkachov, Preprint INR P-0370, Moscow, 1984; Preprint INR P-0459, Moscow, 1986; Int. J. Mod. Phys. A 8 (1993) 2241; S.G. Oorishny and S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; ibid. 76 (1988) 207; Preprint MPI-PAE/PTh-13/91, Munich, 1991; V.A. Smirnov, Comm. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansions (Bikrhäuser, Basel, 1991).
17. F.V. Tkachov, Preprint INR P-0358, Moscow, 1984; Int. J. Mod. Phys. A 8 (1993) 2047; G.B. Pivovarov and F.V. Tkachov, Preprint INR P-0370, Moscow, 1984; Preprint INR P-0459, Moscow, 1986; Int. J. Mod. Phys. A 8 (1993) 2241; S.G. Oorishny and S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; ibid. 76 (1988) 207; Preprint MPI-PAE/PTh-13/91, Munich, 1991; V.A. Smirnov, Comm. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansions (Bikrhäuser, Basel, 1991).
18. F.V. Tkachov, Preprint INR P-0358, Moscow, 1984; Int. J. Mod. Phys. A 8 (1993) 2047; G.B. Pivovarov and F.V. Tkachov, Preprint INR P-0370, Moscow, 1984; Preprint INR P-0459, Moscow, 1986; Int. J. Mod. Phys. A 8 (1993) 2241; S.G. Oorishny and S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; ibid. 76 (1988) 207; Preprint MPI-PAE/PTh-13/91, Munich, 1991; V.A. Smirnov, Comm. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansions (Bikrhäuser, Basel, 1991).
19. F.V. Tkachov, Preprint INR P-0358, Moscow, 1984; Int. J. Mod. Phys. A 8 (1993) 2047; G.B. Pivovarov and F.V. Tkachov, Preprint INR P-0370, Moscow, 1984; Preprint INR P-0459, Moscow, 1986; Int. J. Mod. Phys. A 8 (1993) 2241; S.G. Oorishny and S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; ibid. 76 (1988) 207; Preprint MPI-PAE/PTh-13/91, Munich, 1991; V.A. Smirnov, Comm. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansions (Bikrhäuser, Basel, 1991).
20. F.V. Tkachov, Preprint INR P-0358, Moscow, 1984; Int. J. Mod. Phys. A 8 (1993) 2047; G.B. Pivovarov and F.V. Tkachov, Preprint INR P-0370, Moscow, 1984; Preprint INR P-0459, Moscow, 1986; Int. J. Mod. Phys. A 8 (1993) 2241; S.G. Oorishny and S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; ibid. 76 (1988) 207; Preprint MPI-PAE/PTh-13/91, Munich, 1991; V.A. Smirnov, Comm. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansions (Bikrhäuser, Basel, 1991).
21. F.V. Tkachov, Preprint INR P-0358, Moscow, 1984; Int. J. Mod. Phys. A 8 (1993) 2047; G.B. Pivovarov and F.V. Tkachov, Preprint INR P-0370, Moscow, 1984; Preprint INR P-0459, Moscow, 1986; Int. J. Mod. Phys. A 8 (1993) 2241; S.G. Oorishny and S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; ibid. 76 (1988) 207; Preprint MPI-PAE/PTh-13/91, Munich, 1991; V.A. Smirnov, Comm. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansions (Bikrhäuser, Basel, 1991).
22. F.V. Tkachov, Preprint INR P-0358, Moscow, 1984; Int. J. Mod. Phys. A 8 (1993) 2047; G.B. Pivovarov and F.V. Tkachov, Preprint INR P-0370, Moscow, 1984; Preprint INR P-0459, Moscow, 1986; Int. J. Mod. Phys. A 8 (1993) 2241; S.G. Oorishny and S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; ibid. 76 (1988) 207; Preprint MPI-PAE/PTh-13/91, Munich, 1991; V.A. Smirnov, Comm. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansions (Bikrhäuser, Basel, 1991).
23. F.V. Tkachov, Preprint INR P-0358, Moscow, 1984; Int. J. Mod. Phys. A 8 (1993) 2047; G.B. Pivovarov and F.V. Tkachov, Preprint INR P-0370, Moscow, 1984; Preprint INR P-0459, Moscow, 1986; Int. J. Mod. Phys. A 8 (1993) 2241; S.G. Oorishny and S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; ibid. 76 (1988) 207; Preprint MPI-PAE/PTh-13/91, Munich, 1991; V.A. Smirnov, Comm. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansions (Bikrhäuser, Basel, 1991).
24. F.A. Berends, A.I. Davydychev, V.A. Smirnov and J.B. Tausk, Nucl. Phys. B 439 (1995) 536.
25. J. Fleischer and O.V. Tarasov, Comp. Phys. Commun. 71 (1992) 193.
26. O.V. Tarasov, in: New Computing Techniques in Physics Research IV, eds. B. Denby and D. Perret-Gallix (World Scientific, Singapore, 1995) p. 161 (hep-ph/9505277).