Vector correlator in massless QCD at order O(α4 s) and the QED β-function at five loop

Journal of High Energy Physics

Volumn 2012, Issue 7, 2012, Pages

  Baikov, P A ^a   Chetyrkin, K G ^b   Kuhn J H ^b   Rittinger, J ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

Author keywords

Electromagnetic processes and properties; QCD; Renormalization group

Indexed keywords

EID: 84864464280     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP07(2012)017     Document Type: Article

References (36)

1. T. Aoyama, M. Hayakawa, T. Kinoshita and M. Nio, Tenth-Order QED Contribution to the Electron g-2 and an Improved Value of the Fine Structure Constant, arXiv: 1205.5368.
2. S. G. Karshenboim, Precision physics of simple atoms: QED tests, nuclear structure and fundamental constants, Phys. Rept. 422 (2005) 1 [hep-ph/0509010].
3. M. I. Eides, H. Grotch, and V. A. Shelyuto, Theory of Light Hydrogenic Bound States, Springer Tracts in Modern Physics 222, Springer (2007) [ISBN 978-3-540-45269-0].
4. E. Stueckelberg and A. Petermann, Normalization of constants in the quanta theory, Helv. Phys. Acta 26 (1953) 499.
5. M. Gell-Mann and F. Low, Quantum electrodynamics at small distances, Phys. Rev. 95 (1954) 1300.
6. N. Bogolyubov and D. Shirkov, Charge renormalization group in quantum field theory, Nuovo Cim. 3 (1956) 845.
7. μ - 2 of the Muon, Phys. Rev. D 10 (1974) 3714.
8. - → Hadrons) in Quantum Chromodynamics, Phys. Lett. B 85 (1979) 277.
9. τ+ hadrons) in QCD, Phys. Lett. B 259 (1991) 144.
10. - annihilation at the four loop level of perturbative QCD, Phys. Rev. Lett. 66 (1991) 560
11. [Erratum Phys. Rev. Lett. 66 (1991) 2416].
12. f in perturbative QCD, Phys. Rev. Lett. 88 (2002) 012001 [hep-ph/0108197].
13. s QCD Corrections to Z and tau Decays, Phys. Rev. Lett. 101 (2008) 012002 [arXiv: 0801.1821].
14. s in a General Gauge Theory, Phys. Rev. Lett. 104 (2010) 132004 [arXiv: 1001. 3606].
15. s) QCD Corrections to Hadronic Z-Decays, Phys. Rev. Lett. 108 (2012) 222003 [arXiv: 1201.5804].
16. s): the Singlet Case, arXiv: 1206.1288.
17. P. Baikov, K. Chetyrkin and J. H. Kuhn, Massless propagators: Applications in QCD and QED, PoS (RAD COR 2007) 023 [arXiv:0810.4048].
18. - cross-section and the Z boson decay rate: Concepts and results, Phys. Rept. 277 (1996) 189.
19. S. Gorishnii, A. Kataev, S. Larin and L. Surguladze, The Analytical four loop corrections to the QED β-function in the MS scheme and to the QED psi function: Total reevaluation, Phys. Lett. B 256 (1991) 81.
20. J. Erler, Calculation of the QED coupling α̌ (Mz) in the modified minimal subtraction scheme, Phys. Rev. D 59 (1999) 054008 [hep-ph/9803453].
21. O. Tarasov, A. Vladimirov and A. Y. Zharkov, The Gell-Mann-Low Function of QCD in the Three Loop Approximation, Phys. Lett. B 93 (1980) 429.
22. S. Larin and J. Vermaseren, The Three loop QCD β-function and anomalous dimensions, Phys. Lett. B 303 (1993) 334 [hep-ph/9302208].
23. * operation corrected, Phys. Lett. B 144 (1984) 419.
24. had in pQCD with light gluinos, Phys. Lett. B 391 (1997) 402 [hep-ph/9608480].
25. P. Baikov, A Practical criterion of irreducibility of multi-loop Feynman integrals, Phys. Lett. B 634 (2006) 325 [hep-ph/0507053].
26. P. Baikov, Explicit solutions of the three loop vacuum integral recurrence relations, Phys. Lett. B 385 (1996) 404 [hep-ph/9603267].
27. P. Baikov and K. Chetyrkin, Four Loop Massless Propagators: An Algebraic Evaluation of All Master Integrals, Nucl. Phys. B 837 (2010) 186 [arXiv: 1004.1153].
28. R. Lee, A. Smirnov and V. Smirnov, Master Integrals for Four-Loop Massless Propagators up to Transcendentality Weight Twelve, Nucl. Phys. B 856 (2012) 95 [arXiv: 1108.0732].
29. J. Vermaseren, S. Larin and T. van Ritbergen, The four loop quark mass anomalous dimension and the invariant quark mass, Phys. Lett. B 405 (1997) 327 [hep-ph/9703284].
30. M. Tentyukov et. al., ParFORM: Parallel Version of the Symbolic Manipulation Program FORM, cs/0407066.
31. M. Tentyukov and J. Vermaseren, The Multithreaded version of FORM, Comput. Phys. Commun. 181 (2010) 1419 [hep-ph/0702279].
32. J. Vermaseren, New features of FORM, math-ph/0010025.
33. T. van Ritbergen, A. Schellekens and J. Vermaseren, Group theory factors for Feynman diagrams, Int. J. Mod. Phys. A 14 (1999) 41 [hep-ph/9802376].
34. P. Nogueira, Automatic Feynman graph generation, J. Comput. Phys. 105 (1993) 279.
35. J. Vermaseren, Axodraw, Comput. Phys. Commun. 83 (1994) 45.
36. D. Binosi and L. Theussl, JaxoDraw: A Graphical user interface for drawing Feynman diagrams, Comput. Phys. Commun. 161 (2004) 76 [hep-ph/0309015].