Symbolic summation and higher orders in perturbation theory

Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Volumn 559, Issue 1 SPEC. ISS., 2006, Pages 285-288

  Moch, S ^a  

^a DESY   (Germany)

Author keywords

Perturbative calculations; Series; Symbolic computation

Indexed keywords

ALGORITHMS; INTEGRAL EQUATIONS; QUANTUM THEORY; SCATTERING;

PERTURBATIVE CALCULATIONS; SERIES; SYMBOLIC COMPUTATION;

PERTURBATION TECHNIQUES;

EID: 33644962664     PISSN: 01689002     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nima.2005.11.172     Document Type: Article

References (33)

1. L. Euler Novi Commun. Acad. Sci. Petropol. 20 1775 140
2. M.E. Hoffman, 〈 http://www.usna.edu/Users/math/meh/biblio.html 〉.
3. M. Petkovsek, H. Wilf, D. Zeilberger, 〈 http://www.cis.upenn.edu/ ∼ wilf/AeqB.html 〉.
4. S. Moch, P. Uwer, and S. Weinzierl J. Math. Phys. 43 2002 3363 hep-ph/0110083
5. A.B. Goncharov Math. Res. Lett. 5 1998 497 (available at 〈 http://www.math.uiuc.edu/K-theory/0297 〉 ).
6. J.M. Borwein et al., math.CA/9910045.
7. E. Remiddi, and J.A.M. Vermaseren Int. J. Mod. Phys. A 15 2000 725 hep-ph/9905237
8. D. Zagier, First European Congress of Mathematics, vol. II, Birkhäuser, Boston, 1994, p. 497.
9. J.M. Borwein, D.M. Bradley, D.J. Broadhurst, hep-th/9611004, 1996.
10. J.A.M. Vermaseren Int. J. Mod. Phys. A 14 1999 2037 hep-ph/9806280
11. M.E. Hoffman J. Algebraic Combin. 11 2000 49 math.QA/9907173
12. S. Weinzierl Eur. Phys. J. C33 2004 s871 hep-th/0310124
13. J. Blümlein Comput. Phys. Commun. 159 2004 19 hep-ph/0311046
14. S. Moch, P. Uwer, math-ph/0508008, 2005.
15. D.J. Broadhurst Nucl. Phys. Proc. Suppl. 116 2003 432 hep-ph/0211194
16. I. Bierenbaum, and S. Weinzierl Eur. Phys. J. C32 2003 67 hep-ph/0308311
17. S. Bekavac, hep-ph/0505174, 2005.
18. J. Vermaseren, 〈http://www.nikhef.nl/~form/FORMdistribution/ packages/summer 〉.
19. S. Moch, J.A.M. Vermaseren, and A. Vogt JHEP 0508 2005 049 hep-ph/0507039
20. T. Gehrmann, T. Huber, D. Maitre, hep-ph/0507061, 2005.
21. S. Moch, J.A.M. Vermaseren, A. Vogt, hep-ph/0508055, 2005.
22. J.A.M. Vermaseren, math-ph/0010025, 2000.
23. S. Moch, J.A.M. Vermaseren, and A. Vogt Nucl. Phys. B 688 2004 101 hep-ph/0403192
24. A. Vogt, S. Moch, and J.A.M. Vermaseren Nucl. Phys. B 691 2004 129 hep-ph/0404111
25. J.A.M. Vermaseren, A. Vogt, S. Moch, hep-ph/0504242, 2005.
26. S. Moch, and J.A.M. Vermaseren Nucl. Phys. B 573 2000 853 hep-ph/9912355
27. S. Moch, P. Uwer, and S. Weinzierl Phys. Rev. D 66 2002 114001 hep-ph/0207043
28. M. Czakon, J. Gluza, and T. Riemann Phys. Rev. D 71 2005 073009 hep-ph/0412164
29. A.I. Davydychev, and M.Y. Kalmykov Nucl. Phys. B 699 2004 hep-th/0303162
30. S. Weinzierl J. Math. Phys. 45 2004 2656 hep-ph/0402131
31. C. Bauer, A. Frink, R. Kreckel, cs/0004015, 2000.
32. S. Weinzierl Comput. Phys. Commun. 145 2002 357 math-ph/0201011
33. T. Huber, D. Maitre, hep-ph/0507094, 2005.