Laurent series expansion of a class of massive scalar one-loop integrals up to Ο(ε2) in terms of multiple polylogarithms

Journal of Mathematical Physics

Volumn 47, Issue 7, 2006, Pages

  Korner J G ^a   Merebashvili, Z ^b   Rogal, M ^c  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

^b TBILISI STATE UNIVERSITY   (Georgia)

^c DESY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746797620     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2190336     Document Type: Article

References (18)

1. J. G. Körner, Z. Merebashvili, and M. Rogal, Phys. Rev. D 71, 054028 (2005).
2. J. G. Körner, Z. Merebashvili, and M. Rogal, hep-ph/0511264.
3. A. I. Davydychev, hep-th/0509233;
4. A. I. Davydychev and M. Yu. Kalmykov, Nucl. Phys. B 699, 3 (2004);
5. Nucl. Phys. B 605, 266 (2001).
6. A. V. Kotikov, Phys. Lett. B 254, 158 (1991);
7. Phys. Lett. B 259, 314 (1991);
8. Phys. Lett. B 267, 123 (1991);
9. E. Remiddi, Nuovo Cimento A 110, 1435 (1997);
10. T. Gehrmann and E. Remiddi, Nucl. Phys. B 580, 485 (2000).
11. J. Fleischer, A. V. Kotikov, and O. L. Veretin, Nucl. Phys. B 547, 343 (1999);
12. S. Moch, P. Uwer, and S. Weinzierl, J. Math. Phys. 43, 3363 (2002).
13. A. B. Goncharov, Math. Res. Lett. 5, 497 (1998) (available at http://www.math.uiuc.edu/K-theory/0297).
14. E. Remiddi and J. A. M. Vermaseren, Int. J. Mod. Phys. A 15, 725 (2000).
15. T. Gehrmann and E. Remiddi, Nucl. Phys. B 601, 248 (2001).
16. J. Vollinga and S. Weinzierl, Chem. Phys. Lett. 167, 177 (2005).
17. L. Lewin, Polylogarithms and Associated Functions (North-Holland, Amsterdam, 1981).
18. See EPAPS Document No. E-JMAPAQ-47-224604for all the relevant results for the one-loop scalar integrals from Ref. 1 expressed in terms of multiple polylogarithms in MATHEMATICA format. This document can be reached via a direct link in the online article's HTML reference section or via the EPAPS homepage (http://www.aip.org/pubservs/epaps.html).