Renormalon chain contributions to the non-singlet evolution kernels in [φ3]6 and QCD

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 416, Issue 3-4, 1998, Pages 421-432

  Mikhailov, S V ^a  

^a JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

Anomalous dimensions; DGLAP evolution kernel; Multiloop calculation

Indexed keywords

EID: 0347540002     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-2693(97)01198-2     Document Type: Article

References (32)

1. V.N. Gribov, L.N. Lipatov, Sov. J. Nucl. Phys. 15 (1972) 438, 675; L.N. Lipatov, Sov. J. Nucl. Phys. 20 (1975) 94; Y.L. Dokshitser, JETP 46 (1977) 641; G. Altarelli, G. Parisi, Nucl. Phys. B 126 (1977) 298.
2. V.N. Gribov, L.N. Lipatov, Sov. J. Nucl. Phys. 15 (1972) 438, 675; L.N. Lipatov, Sov. J. Nucl. Phys. 20 (1975) 94; Y.L. Dokshitser, JETP 46 (1977) 641; G. Altarelli, G. Parisi, Nucl. Phys. B 126 (1977) 298.
3. V.N. Gribov, L.N. Lipatov, Sov. J. Nucl. Phys. 15 (1972) 438, 675; L.N. Lipatov, Sov. J. Nucl. Phys. 20 (1975) 94; Y.L. Dokshitser, JETP 46 (1977) 641; G. Altarelli, G. Parisi, Nucl. Phys. B 126 (1977) 298.
4. V.N. Gribov, L.N. Lipatov, Sov. J. Nucl. Phys. 15 (1972) 438, 675; L.N. Lipatov, Sov. J. Nucl. Phys. 20 (1975) 94; Y.L. Dokshitser, JETP 46 (1977) 641; G. Altarelli, G. Parisi, Nucl. Phys. B 126 (1977) 298.
5. S.J. Brodsky, G.P. Lepage, Phys. Lett. B 87 (1979) 359; Phys. Rev. D 22 (1980) 2157.
6. S.J. Brodsky, G.P. Lepage, Phys. Lett. B 87 (1979) 359; Phys. Rev. D 22 (1980) 2157.
7. E.G. Floratos, R. Lacaze, C. Kounnas, Phys. Lett. B 98 (1981) 89, 285.
8. F.M. Dittes, A.V. Radyushkin, Phys. Lett. B 134 (1984) 359; M.H. Sarmadi, Phys. Lett. B 143 (1984) 471; S.V. Mikhailov, A.V. Radyushkin, Evolution kernel for the pion wave function: two loop QCD calculation in Feynman gauge; Dubna preprint JINR P2-83-721, 1983.
9. F.M. Dittes, A.V. Radyushkin, Phys. Lett. B 134 (1984) 359; M.H. Sarmadi, Phys. Lett. B 143 (1984) 471; S.V. Mikhailov, A.V. Radyushkin, Evolution kernel for the pion wave function: two loop QCD calculation in Feynman gauge; Dubna preprint JINR P2-83-721, 1983.
10. F.M. Dittes, A.V. Radyushkin, Phys. Lett. B 134 (1984) 359; M.H. Sarmadi, Phys. Lett. B 143 (1984) 471; S.V. Mikhailov, A.V. Radyushkin, Evolution kernel for the pion wave function: two loop QCD calculation in Feynman gauge; Dubna preprint JINR P2-83-721, 1983.
11. S.V. Mikhailov, A.V. Radyushkin, Nucl. Phys. B 254 (1985) 89.
12. S.A. Larin, T. van Ritbergen, J.A.M. Vermaseren, Nucl. Phys. B 427 (1994) 41; S.A. Larin, P. Nogueira, T. van Ritbergen, J.A.M. Vermaseren, The three loop QCD calculation of the moments of deep inelastic structure functions; NIKHEF-96-010, hep- ph/9605317.
13. S.A. Larin, T. van Ritbergen, J.A.M. Vermaseren, Nucl. Phys. B 427 (1994) 41; S.A. Larin, P. Nogueira, T. van Ritbergen, J.A.M. Vermaseren, The three loop QCD calculation of the moments of deep inelastic structure functions; NIKHEF-96-010, hep-ph/9605317.
14. G. Parente, A.V. Kotikov, V.G. Krivokhizhin, Phys. Lett. B 333 (1994) 190; A.L. Kataev, A.V. Kotikov, G. Parente, A.V. Sidorov, Phys. Lett. B 388 (1996) 179.
15. G. Parente, A.V. Kotikov, V.G. Krivokhizhin, Phys. Lett. B 333 (1994) 190; A.L. Kataev, A.V. Kotikov, G. Parente, A.V. Sidorov, Phys. Lett. B 388 (1996) 179.
16. J.A. Gracey, Phys. Lett. B 322 (1994) 141.
17. f, talk presented at Third International Conference on the Renormalization Group, JINR, Dubna, Russia, 26-31 August, 1996, hep-th/9609164.
18. A. Palanques-Mestre, P. Pascual, Comm. Math. Phys. 95 (1984) 277.
19. D.J. Broadhurst, Z. Phys. C 58, (1993) 339; D.J. Broadhurst, A.G. Grozin, Phys. Rev. D 52 (1995) 4082; M. Beneke, V.M. Braun, Nucl. Phys. B 426 (1994) 301.
20. D.J. Broadhurst, Z. Phys. C 58, (1993) 339; D.J. Broadhurst, A.G. Grozin, Phys. Rev. D 52 (1995) 4082; M. Beneke, V.M. Braun, Nucl. Phys. B 426 (1994) 301.
21. D.J. Broadhurst, Z. Phys. C 58, (1993) 339; D.J. Broadhurst, A.G. Grozin, Phys. Rev. D 52 (1995) 4082; M. Beneke, V.M. Braun, Nucl. Phys. B 426 (1994) 301.
22. S.V. Mikhailov, A.V. Radyushkin, Nucl. Phys. B 273 (1986) 297.
23. L. Mankiewicz, M. Maul, E. Stein, Phys. Lett. B 404 (1997) 345.
24. A.A. Vladimirov, Theor. Math. Phys. 36 (1978) 732; 43 (1980) 417.
25. A.A. Vladimirov, Theor. Math. Phys. 36 (1978) 732; 43 (1980) 417.
26. J.A.M. Vermaseren, Symbolic Manipulation with FORM, Version 2, Tutorial and Reference Manual (Computer Algebra Nederland, Amsterdam, 1991).
27. L.V. Avdeev et al., Phys. Lett. B 336 (1994) 560; L.V. Avdeev, Comp. Phys. Commun. 98 (1996) 15; L.V. Avdeev, J. Fleischer, M.Yu. Kalmykov, M. Tentyukov, Towards automatic analytic evaluation of massive Feynman diagrams, hep-ph/9610467.
28. L.V. Avdeev et al., Phys. Lett. B 336 (1994) 560; L.V. Avdeev, Comp. Phys. Commun. 98 (1996) 15; L.V. Avdeev, J. Fleischer, M.Yu. Kalmykov, M. Tentyukov, Towards automatic analytic evaluation of massive Feynman diagrams, hep-ph/9610467.
29. L.V. Avdeev et al., Phys. Lett. B 336 (1994) 560; L.V. Avdeev, Comp. Phys. Commun. 98 (1996) 15; L.V. Avdeev, J. Fleischer, M.Yu. Kalmykov, M. Tentyukov, Towards automatic analytic evaluation of massive Feynman diagrams, hep-ph/9610467.
30. F.M. Dittes, D. Müller, D. Robaschik, B. Geyer, J. Horejsi, Phys. Lett. B 209 (1988) 325.
31. Yu.M. Makeenko, Sov. J. Nucl. Phys. 33 (1981) 440.
32. 0, hep-ph/9707367.