Four-loop massless propagators: A numerical evaluation of all master integrals

Nuclear Physics B

Volumn 837, Issue 1-2, 2010, Pages 40-49

  Smirnov, A V ^a   Tentyukov, M ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

Author keywords

Feynman diagrams; Massless propagators; Master integrals; Numerical evaluation; Sector decomposition

Indexed keywords

EID: 77953131341     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2010.04.020     Document Type: Article

References (47)

1. Baikov P.A., Chetyrkin K.G. Four loop massless propagators: An algebraic evaluation of all master integrals arxiv:/1004.1153.
2. Hepp K. Comm. Math. Phys. 1966, 2:301.
3. Speer E.R. J. Math. Phys. 1968, 9:1404.
4. Bergère M.C., Zuber J.B. Comm. Math. Phys. 1974, 35:113.
5. Bergère M.C., Lam Y.M. J. Math. Phys. 1976, 17:1546.
6. Zavialov O.I. Renormalized Quantum Field Theory 1990, Kluwer Academic Publishers, Dordrecht.
7. Smirnov V.A. Comm. Math. Phys. 1990, 134:109.
8. Breitenlohner P., Maison D. Comm. Math. Phys. 1977, 52:11. 39, 55.
9. Bergère M.C., de Calan C., Malbouisson A.P.C. Comm. Math. Phys. 1978, 62:137.
10. Pohlmeyer K. J. Math. Phys. 1982, 23:2511.
11. Smirnov V.A. Applied Asymptotic Expansions in Momenta and Masses. STMP 2002, vol. 177. Springer, Berlin, Heidelberg.
12. Binoth T., Heinrich G. Nucl. Phys. B 2000, 585:741.
13. Binoth T., Heinrich G. Nucl. Phys. B 2004, 680:375.
14. Binoth T., Heinrich G. Nucl. Phys. B 2004, 693:134.
15. Heinrich G. Internat. J. Modern Phys. A 2008, 23:10. arxiv:/0803.4177.
16. Bogner C., Weinzierl S. Comput. Phys. Comm. 2008, 178:596. arxiv:/0709.4092.
17. Bogner C., Weinzierl S. Nucl. Phys. B (Proc. Suppl.) 2008, 183:256. arxiv:/0806.4307.
18. Smirnov A.V., Tentyukov M.N. Comput. Phys. Comm. 2009, 180:735. arxiv:/0807.4129.
19. Smirnov A.V., Smirnov V.A., Tentyukov M.N. arxiv:/0912.0158.
20. Smirnov A.V., Smirnov V.A., Steinhauser M. Phys. Lett. B 2008, 668:293. arxiv:/0809.1927.
21. Bonciani R., Ferroglia A. JHEP 2008, 0811:065. arxiv:/0809.4687.
22. Kiyo Y., Seidel D., Steinhauser M. JHEP 2009, 0901:038. arxiv:/0810.1597.
23. Bell G. Nucl. Phys. B 2009, 812:264. arxiv:/0810.5695.
24. Velizhanin V.N. arxiv:/0811.0607.
25. Ueda T., Fujimoto J. arxiv:/0902.2656.
26. Seidel D. arxiv:/0902.3267.
27. Heinrich G., Huber T., Kosower D.A., Smirnov V.A. Phys. Lett. B 2009, 678:359. arxiv:/0902.3512.
28. Baikov P.A., Chetyrkin K.G., Smirnov A.V., Smirnov V.A., Steinhauser M. Phys. Rev. Lett. 2009, 102:212002. arxiv:/0902.3519.
29. Gluza J., Kajda K., Riemann T., Yundin V. PoS A 2008, CAT08:124. arxiv:/0902.4830.
30. Bekavac S., Grozin A.G., Seidel D., Smirnov V.A. Nucl. Phys. B 2009, 819:183. arxiv:/0903.4760.
31. Bonciani R., Ferroglia A., Gehrmann T., Studerus C. JHEP 2009, 0908:067. arxiv:/0906.3671.
32. Czakon M., Mitov A., Sterman G. Phys. Rev. D 2009, 80:074017. arxiv:/0907.1790.
33. Ferroglia A., Neubert M., Pecjak B.D., Yang L.L. arxiv:/0907.4791.
34. Ferroglia A., Neubert M., Pecjak B.D., Yang L.L. JHEP 2009, 0911:062. arxiv:/0908.3676.
35. Bekavac S., Grozin A.G., Marquard P., Piclum J.H., Seidel D., Steinhauser M. arxiv:/0911.3356.
36. Dowling M., Mondejar J., Piclum J.H., Czarnecki A. arxiv:/0911.4078.
37. Smirnov A.V., Smirnov V.A., Steinhauser M. arxiv:/0911.4742.
38. Chetyrkin K.G., Kuhn J.H., Kwiatkowski A. Phys. Rep. 1996, 277:189.
39. Steinhauser M. Phys. Rep. 2002, 364:247. arxiv:/hep-ph/0201075.
40. 't Hooft G., Veltman M. Nucl. Phys. B 1972, 44:189.
41. Bollini C.G., Giambiagi J.J. Nuovo Cimento B 1972, 12:20.
42. Grozin A.G. Springer Tracts Modern Phys. 2004, 201:1.
43. Smirnov V.A. Evaluating Feynman integrals. Springer Tracts Modern Phys. 2004, 211:1.
44. Smirnov V.A. Feynman Integral Calculus 2006, Springer, Berlin, Germany, 283 p.
45. Hahn T. Comput. Phys. Comm. 2005, 168:78. arxiv:/hep-ph/0404043.
46. Wolfram Research, Inc., Mathematica, Version 7.0, Champaign, IL, 2008.
47. Baikov P.A. Phys. Lett. B 2006, 634:325. arxiv:/hep-ph/0507053.