Mathematical structure of anomalous dimensions and QCD Wilson coefficients in higher order

Nuclear Physics B - Proceedings Supplements

Volumn 135, Issue 1-3 SPEC.ISS., 2004, Pages 225-231

  Blumlein J ^a  

^a DESY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5444226562     PISSN: 09205632     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysbps.2004.09.051     Document Type: Article

References (52)

1. A. Gonzalez-Arroyo C. Lopez F.J. Yndurain Nucl. Phys. B153 1979 161
2. A. Gonzalez-Arroyo C. Lopez Nucl. Phys. B166 1980 429
3. J.A.M. Vermaseren Int. J. Mod. Phys. A14 1999 2037
4. Blümlein J. Kurth S., DESY 97-160, hep-ph/9708388
5. J. Blümlein S. Kurth Phys. Rev. D60 1999 014018
6. L. Schwartz Théorie des Distributions, Vols. I and II 1951 Hermann and Cie Paris
7. V.S. Vladimirov Gleichungen der Mathematischen Physik 1972 DVW Berlin
8. K. Yoshida Functional Analysis 1978 Springer Berlin
9. E. Remiddi J. Vermaseren Int. J. Mod. Phys. A15 2000 725
10. N. Nielsen Nova Acta Leopold. XC 1909 121
11. S. Kölbig Siam J. Math. Anal. 17 1986 1232
12. L. Lewin Dilogarithms and Associated Functions 1958 Mac-Donald London
13. Lewin L. Polylogarithms and Associated Functions 1981 North Holland New York
14. A. Devoto D.W. Duke Riv. Nuovo Cim. 7 N6 1984 1
15. L. Euler Novi Comm. Acad. Sci. Petropol. 20 1775 140
16. D. Zagier First European Congress of Mathematics, Vol.II 1994 Birkhäuser Boston 497
17. S. Moch P. Uwer S. Weinzierl J. Math. Phys. 43 2002 3363
18. S. Weinzierl Comput. Phys. Commun. 145 2002 357
19. H. Hopf Ann. of Math. 42 1941 22
20. J. Milner J. Moore Ann. of Math. 81 1965 211
21. M.E. Sweedler Hopf Algebras 1969 Benjamin New York
22. C. Kassel Quantum Groups 1995 Springer Berlin
23. A.B. Goncharov Math. Res. Lett. 5 1998 497 http://www.math.uiuc.edu/K-Theory/0297
24. M. Waldschmidt J. Théor. Nombres Bordeaux 12 2000 581
25. M. Waldschmidt, Multiple polylogarithms, Lectures at the Institute of Math. Sciences (Chennai, Nov. 2000) updated version http://www.math.jussieu.fr/~miw/articles/ps/mpl.ps
26. V.V. Zudilin Uspekhi Mat. Nauk (Russian Math. Surveys) 58 2003 3
27. W.L. van Neerven E.B. Zijlstra Nucl. Phys. B382 1992 11
28. S.A. Larin T. van Ritbergen J.A.M. Vermaseren Nucl. Phys. B427 1994 41
29. S.A. Larin P. Nogueira T. van Ritbergen J.A.M. Vermaseren Nucl. Phys. B492 1997 338
30. A. Retey J.A.M. Vermaseren Nucl. Phys. B604 2001 281
31. J. Blümlein Comput. Phys. Commun. 159 2004 19
32. J. Blümlein DESY 04-064
33. J. Blümlein and S. Moch in preparation
34. J. Blümlein Comput. Phys. Commun. 133 2000 76
35. J. Blümlein A. Vogt Phys. Rev. D57 1998 1 D58 (1998) 014020
36. M.E. Hoffman J. Algebra 194 1997 477
37. M.E. Hoffman, math.QA/0406589 and these Proceedings
38. M.E. Hoffman math.QA/0406589 and these Proceedings Pacific J. Math. 152 1992 275
39. Hoffman M.E. J. Algebraic Combin. 11 (2000) 49 math.QA/9907173 math.NT/0401319
40. Hoang Ngoc Minh these Proceedings and references therein
41. C. Reutenauer Free Lie Algebras 1993 Calendron Press Oxford
42. D.E. Radford J. Algebra 58 1979 432
43. E. Witt Journ. Reine und Angew. Mathematik 177 1937 152
44. Witt E. Math. Zeitschr. 64 (1956) 195
45. D.J. Broadhurst D. Kreimer Phys. Lett. B393 1997 403
46. J. Blümlein and V. Ravindran, these Proceedings and in prepartion
47. J. Blümlein and S. Moch in preparation
48. N. Nielsen Handbuch der Theorie der Gamma-funktion 1906 Teubner Leipzig
49. E. Landau Über die Grundlagen der Theorie der Fakultätenreihen S.-Ber. math.-maturw. Kl. Bayerische Akad. Wiss. München vol. 36 1906 151
50. S. A. Larin, F. V. Tkachev, and J. A. M. Vermaseren, NIKHEF-H-91-18
51. S. Moch J. Vermaseren A. Vogt Nucl. Phys. B688 2004 101
52. J. Blümlein and J. Vermaseren, in preparation