Small-threshold behaviour of two-loop self-energy diagrams: Some special cases

Nuclear Physics B - Proceedings Supplements

Volumn 51, Issue 3, 1996, Pages 301-306

  Berends, F A ^a   Davydychev, A I ^a,b   Smirnov, V A ^a,b  

^a UNIVERSITEIT LEIDEN   (Netherlands)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030529238     PISSN: 09205632     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0920-5632(96)90040-7     Document Type: Article

References (33)

1. G. Weiglein, R. Scharf and M. Böhm, Nucl. Phys. B416 (1994) 606; D. Kreimer, Mod. Phys. Lett. A9 (1994) 1105.
2. G. Weiglein, R. Scharf and M. Böhm, Nucl. Phys. B416 (1994) 606; D. Kreimer, Mod. Phys. Lett. A9 (1994) 1105.
3. D. Kreimer, Phys. Lett. B273 (1991) 277; J. Fujimoto, Y. Shimizu, K. Kato and Y. Oyanagi, KEK preprint 92-213; F.A. Berends and J.B. Tausk, Nucl. Phys. B421 (1994) 456; A. Czarnecki, U. Kilian and D. Kreimer, Nucl. Phys. B433 (1995) 259; S. Bauberger, F.A. Berends, M. Böhm and M. Buza, Nucl. Phys. B434 (1995) 383; A. Ghinculov and J.J. van der Bij, Nucl. Phys. B436 (1995) 30; S. Bauberger and M. Böhm, Nucl. Phys. B445 (1995) 25.
4. D. Kreimer, Phys. Lett. B273 (1991) 277; J. Fujimoto, Y. Shimizu, K. Kato and Y. Oyanagi, KEK preprint 92-213; F.A. Berends and J.B. Tausk, Nucl. Phys. B421 (1994) 456; A. Czarnecki, U. Kilian and D. Kreimer, Nucl. Phys. B433 (1995) 259; S. Bauberger, F.A. Berends, M. Böhm and M. Buza, Nucl. Phys. B434 (1995) 383; A. Ghinculov and J.J. van der Bij, Nucl. Phys. B436 (1995) 30; S. Bauberger and M. Böhm, Nucl. Phys. B445 (1995) 25.
5. D. Kreimer, Phys. Lett. B273 (1991) 277; J. Fujimoto, Y. Shimizu, K. Kato and Y. Oyanagi, KEK preprint 92-213; F.A. Berends and J.B. Tausk, Nucl. Phys. B421 (1994) 456; A. Czarnecki, U. Kilian and D. Kreimer, Nucl. Phys. B433 (1995) 259; S. Bauberger, F.A. Berends, M. Böhm and M. Buza, Nucl. Phys. B434 (1995) 383; A. Ghinculov and J.J. van der Bij, Nucl. Phys. B436 (1995) 30; S. Bauberger and M. Böhm, Nucl. Phys. B445 (1995) 25.
6. D. Kreimer, Phys. Lett. B273 (1991) 277; J. Fujimoto, Y. Shimizu, K. Kato and Y. Oyanagi, KEK preprint 92-213; F.A. Berends and J.B. Tausk, Nucl. Phys. B421 (1994) 456; A. Czarnecki, U. Kilian and D. Kreimer, Nucl. Phys. B433 (1995) 259; S. Bauberger, F.A. Berends, M. Böhm and M. Buza, Nucl. Phys. B434 (1995) 383; A. Ghinculov and J.J. van der Bij, Nucl. Phys. B436 (1995) 30; S. Bauberger and M. Böhm, Nucl. Phys. B445 (1995) 25.
7. D. Kreimer, Phys. Lett. B273 (1991) 277; J. Fujimoto, Y. Shimizu, K. Kato and Y. Oyanagi, KEK preprint 92-213; F.A. Berends and J.B. Tausk, Nucl. Phys. B421 (1994) 456; A. Czarnecki, U. Kilian and D. Kreimer, Nucl. Phys. B433 (1995) 259; S. Bauberger, F.A. Berends, M. Böhm and M. Buza, Nucl. Phys. B434 (1995) 383; A. Ghinculov and J.J. van der Bij, Nucl. Phys. B436 (1995) 30; S. Bauberger and M. Böhm, Nucl. Phys. B445 (1995) 25.
8. D. Kreimer, Phys. Lett. B273 (1991) 277; J. Fujimoto, Y. Shimizu, K. Kato and Y. Oyanagi, KEK preprint 92-213; F.A. Berends and J.B. Tausk, Nucl. Phys. B421 (1994) 456; A. Czarnecki, U. Kilian and D. Kreimer, Nucl. Phys. B433 (1995) 259; S. Bauberger, F.A. Berends, M. Böhm and M. Buza, Nucl. Phys. B434 (1995) 383; A. Ghinculov and J.J. van der Bij, Nucl. Phys. B436 (1995) 30; S. Bauberger and M. Böhm, Nucl. Phys. B445 (1995) 25.
9. D. Kreimer, Phys. Lett. B273 (1991) 277; J. Fujimoto, Y. Shimizu, K. Kato and Y. Oyanagi, KEK preprint 92-213; F.A. Berends and J.B. Tausk, Nucl. Phys. B421 (1994) 456; A. Czarnecki, U. Kilian and D. Kreimer, Nucl. Phys. B433 (1995) 259; S. Bauberger, F.A. Berends, M. Böhm and M. Buza, Nucl. Phys. B434 (1995) 383; A. Ghinculov and J.J. van der Bij, Nucl. Phys. B436 (1995) 30; S. Bauberger and M. Böhm, Nucl. Phys. B445 (1995) 25.
10. J. Fleischer and O.V. Tarasov, Z. Phys. C64 (1994) 413.
11. S.G. Gorishny, S.A. Larin and F.A. Tkachov, Phys. Lett. B124 (1983) 217; G.B. Pivovarov and F.V. Tkachov, Preprints INR P-0370, II-459 (Moscow, 1984); S.G. Gorishny and S.A. Larin, Nucl. Phys. B283 (1987) 452; K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; preprint MPI-PAE-PTh 13/91; S.G. Gorishny, Nucl. Phys. B319 (1989) 633; V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109.
12. S.G. Gorishny, S.A. Larin and F.A. Tkachov, Phys. Lett. B124 (1983) 217; G.B. Pivovarov and F.V. Tkachov, Preprints INR P-0370, II-459 (Moscow, 1984); S.G. Gorishny and S.A. Larin, Nucl. Phys. B283 (1987) 452; K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; preprint MPI-PAE-PTh 13/91; S.G. Gorishny, Nucl. Phys. B319 (1989) 633; V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109.
13. S.G. Gorishny, S.A. Larin and F.A. Tkachov, Phys. Lett. B124 (1983) 217; G.B. Pivovarov and F.V. Tkachov, Preprints INR P-0370, II-459 (Moscow, 1984); S.G. Gorishny and S.A. Larin, Nucl. Phys. B283 (1987) 452; K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; preprint MPI-PAE-PTh 13/91; S.G. Gorishny, Nucl. Phys. B319 (1989) 633; V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109.
14. S.G. Gorishny, S.A. Larin and F.A. Tkachov, Phys. Lett. B124 (1983) 217; G.B. Pivovarov and F.V. Tkachov, Preprints INR P-0370, II-459 (Moscow, 1984); S.G. Gorishny and S.A. Larin, Nucl. Phys. B283 (1987) 452; K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; preprint MPI-PAE-PTh 13/91; S.G. Gorishny, Nucl. Phys. B319 (1989) 633; V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109.
15. S.G. Gorishny, S.A. Larin and F.A. Tkachov, Phys. Lett. B124 (1983) 217; G.B. Pivovarov and F.V. Tkachov, Preprints INR P-0370, II-459 (Moscow, 1984); S.G. Gorishny and S.A. Larin, Nucl. Phys. B283 (1987) 452; K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; preprint MPI-PAE-PTh 13/91; S.G. Gorishny, Nucl. Phys. B319 (1989) 633; V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109.
16. S.G. Gorishny, S.A. Larin and F.A. Tkachov, Phys. Lett. B124 (1983) 217; G.B. Pivovarov and F.V. Tkachov, Preprints INR P-0370, II-459 (Moscow, 1984); S.G. Gorishny and S.A. Larin, Nucl. Phys. B283 (1987) 452; K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; preprint MPI-PAE-PTh 13/91; S.G. Gorishny, Nucl. Phys. B319 (1989) 633; V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109.
17. S.G. Gorishny, S.A. Larin and F.A. Tkachov, Phys. Lett. B124 (1983) 217; G.B. Pivovarov and F.V. Tkachov, Preprints INR P-0370, II-459 (Moscow, 1984); S.G. Gorishny and S.A. Larin, Nucl. Phys. B283 (1987) 452; K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; preprint MPI-PAE-PTh 13/91; S.G. Gorishny, Nucl. Phys. B319 (1989) 633; V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109.
18. V.A. Smirnov, Renormalization and asymptotic expansions (Birkhäuser, Basel, 1991); Mod. Phys. Lett. AlO (1995) 1485.
19. V.A. Smirnov, Renormalization and asymptotic expansions (Birkhäuser, Basel, 1991); Mod. Phys. Lett. AlO (1995) 1485.
20. A.I. Davydychev and J.B. Tausk, Nucl. Phys. B397 (1993) 123.
21. A.I. Davydychev, V.A. Smirnov and J.B. Tausk, Nucl. Phys. B410 (1993) 325.
22. D.J. Broadhurst, Z. Phys. C47 (1990) 115; D.J. Broadhurst, J. Fleischer and O.V. Tarasov, Z. Phys. C60 (1993) 287; R. Scharf and J.B. Tausk, Nucl. Phys. B412 (1994) 523; D.T. Gegelia, G.Sh. Japaridze and K.Sh. Turashvili, Teor. Mat. Fiz. 101 (1994) 225.
23. D.J. Broadhurst, Z. Phys. C47 (1990) 115; D.J. Broadhurst, J. Fleischer and O.V. Tarasov, Z. Phys. C60 (1993) 287; R. Scharf and J.B. Tausk, Nucl. Phys. B412 (1994) 523; D.T. Gegelia, G.Sh. Japaridze and K.Sh. Turashvili, Teor. Mat. Fiz. 101 (1994) 225.
24. D.J. Broadhurst, Z. Phys. C47 (1990) 115; D.J. Broadhurst, J. Fleischer and O.V. Tarasov, Z. Phys. C60 (1993) 287; R. Scharf and J.B. Tausk, Nucl. Phys. B412 (1994) 523; D.T. Gegelia, G.Sh. Japaridze and K.Sh. Turashvili, Teor. Mat. Fiz. 101 (1994) 225.
25. D.J. Broadhurst, Z. Phys. C47 (1990) 115; D.J. Broadhurst, J. Fleischer and O.V. Tarasov, Z. Phys. C60 (1993) 287; R. Scharf and J.B. Tausk, Nucl. Phys. B412 (1994) 523; D.T. Gegelia, G.Sh. Japaridze and K.Sh. Turashvili, Teor. Mat. Fiz. 101 (1994) 225.
26. F.A. Berends, A.I. Davydychev, V.A. Smirnov and J.B. Tausk, Nucl. Phys. B439 (1995) 536.
27. S.A. Larin, T. van Ritbergen and J.A.M. Vermaseren, Nucl. Phys. B438 (1995) 278.
28. F.A. Berends, A.I. Davydychev and V.A. Smirnov, Leiden preprint INLO-PUB-21/95 (hep-ph/9602396), to appear in Nucl.Phys. B.
29. G. 't Hooft and M. Veltman, Nucl. Phys. B44 (1972) 189; C.G. Bollini and J.J. Giambiagi, Nuovo Cim. 12B (1972) 20.
30. G. 't Hooft and M. Veltman, Nucl. Phys. B44 (1972) 189; C.G. Bollini and J.J. Giambiagi, Nuovo Cim. 12B (1972) 20.
31. G. 't Hooft and M. Veltman, Nucl. Phys. B153 (1979) 365.
32. A.C. Hearn, REDUCE user's manual, RAND publication CP78 (Santa Monica, 1987).
33. J. Fleischer, V.A. Smirnov and O.V. Tarasov, Preprint BI-TP-95-39 (hep-ph/9605392).