Analytical five-loop expressions for the renormalization group QED β-function in different renormalization schemes

JETP Letters

Volumn 96, Issue 1, 2012, Pages 61-65

  Kataev, A L ^a   Larin, S A ^a  

^a INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84866034730     PISSN: 00213640     EISSN: 10906487     Source Type: Journal    
DOI: 10.1134/S0021364012130073     Document Type: Article

References (36)

1. E. C. G. Stueckelberg and A. Petermann, Helv. Phys. Acta 26, 499 (1953).
2. M. Gell-Mann and F. E. Low, Phys. Rev. 95, 1300 (1954).
3. N. N. Bogolyubov and D. V. Shirkov, Nuovo Cimento 3, 845 (1956).
4. G.' t Hooft, Nucl. Phys. B 61, 455 (1973).
5. W. A. Bardeen, A. J. Buras, D. W. Duke, and T. Muta, Phys. Rev. D 18, 3998 (1978).
6. A. A. Vladimirov, Theor. Math. Phys. 43, 417 (1980).
7. K. G. Chetyrkin, A. L. Kataev, and F. V. Tkachov, Nucl. Phys. B 174, 345 (1980).
8. S. G. Gorishny, A. L. Kataev, and S. A. Larin, Phys. Lett. B 194, 429 (1987).
9. S. G. Gorishny, A. L. Kataev, S. A. Larin, and L. R. Surguladze, Phys. Lett. B 256, 81 (1991).
10. T. van Ritbergen, J. A. M. Vermaseren, and S. A. Larin, Phys. Lett. B 400, 379 (1997), hep-ph/9701390.
11. B. P. Nigam, Phys. Rev. D 50, 5446 (1994); Phys. Rev. D 53, 4698(E) (1996).
12. S. G. Gorishny, A. L. Kataev, and S. A. Larin, Phys. Lett. B 273, 141 (1991); Phys. Lett. B 275, 512(E) (1992); Phys. Lett. B 341, 448(E) (1995).
13. P. A. Baikov, K. G. Chetyrkin, and C. Sturm, Nucl. Phys. Proc. Suppl. 183, 8 (2008).
14. P. A. Baikov, K. G. Chetyrkin, and J. H. Kuhn, Phys. Rev. Lett. 104, 132004 (2010); arXiv: 1001. 3606 [hepph].
15. P. A. Baikov, K. G. Chetyrkin, J. H. Kuhn, and J. Rittinger, Talk at the 10th International Symposium on Radiative Corrections, Applications of Quantum Field Theory to Phenomenology, Radcor2011, Sept. 26-30, 2011, Mamallapuram, India, PoSRADCOR2011, 030 (2012).
16. P. A. Baikov, K. G. Chetyrkin, and J. H. Kuhn, Nucl. Phys. Proc. Suppl. 205-206, 237 (2010); arXiv: 1007. 0478 [hep-ph].
17. A. L. Kataev, JETP Lett. 94, 789 (2011); arXiv: 1108. 2898 [hep-ph].
18. P. A. Baikov, K. G. Chetyrkin, and J. H. Kuhn, Phys. Rev. Lett. 88, 012001 (2002); hep-ph/0108197.
19. D. J. Broadhurst, A. L. Kataev, and O. V. Tarasov, Phys. Lett. B 298, 445 (1993).
20. E. De Rafael and J. L. Rosner, Ann. Phys. 82, 369 (1974).
21. M. Baker and K. Johnson, Phys. Rev. 183, 1292 (1969).
22. P. A. Baikov, K. G. Chetyrkin, and J. H. Kuhn, PoS RADCOR 2007, 023 (2007); arXiv: 0810. 4048 [hepph].
23. A. L. Kataev, Phys. Lett. B 668, 350 (2008); arXiv: 0808. 3121 [hep-ph].
24. J. L. Rosner, Ann. Phys. 44, 11 (1967).
25. D. J. Broadhurst, Phys. Lett. B 466, 319 (1999); hepph/9909336.
26. L. N. Lipatov, Sov. Phys. JETP 45, 216 (1977).
27. K. G. Chetyrkin, S. G. Gorishny, S. A. Larin, and F. V. Tkachov, Phys. Lett. B 132, 351 (1983).
28. H. Kleinert, J. Neu, V. Schulte-Frohlinde, et al., Phys. Lett. B 272, 39 (1991); Phys. Lett. B 319, 545(E) (1993); hep-th/9503230.
29. C. Itzykson, G. Parisi, and J.-B. Zuber, Phys. Rev. D 16, 996 (1977).
30. E. B. Bogomolny and Y. A. Kubyshin, Sov. J. Nucl. Phys. 35, 114 (1982).
31. J. S. Schwinger, Proc. Nat. Acad. Sci. 71, 3024 (1974).
32. N. V. Krasnikov, Nucl. Phys. B 192, 497 (1981).
33. H. Yamagishi, Phys. Rev. D 25, 464 (1982).
34. I. M. Suslov, JETP Lett. 74, 191 (2001); hepph/0210239.
35. I. M. Suslov, J. Exp. Theor. Phys. 108, 980 (2009); arXiv: 0804. 2650 [hep-ph].
36. P. A. Baikov, K. G. Chetyrkin, J. H. Kuhn, and J. Rittinger, arXiv: 1206. 1284v1.