Nine-propagator master integrals for massless three-loop form factors

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 678, Issue 4, 2009, Pages 359-366

  Heinrich, G ^a   Huber, T ^b   Kosower, D A ^c   Smirnov, V A ^d,e  

^a DURHAM UNIVERSITY   (United Kingdom)

^b RWTH AACHEN UNIVERSITY   (Germany)

^c CEA SACLAY   (France)

^d MOSCOW STATE UNIVERSITY   (Russian Federation)

^e UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67649984304     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physletb.2009.06.038     Document Type: Article

References (87)

1. Magnea L., and Sterman G. Phys. Rev. D 42 (1990) 4222
2. Catani S. Phys. Lett. B 427 (1998) 161. hep-ph/9802439
3. Sterman G., and Tejeda-Yeomans M.E. Phys. Lett. B 552 (2003) 48. hep-ph/0210130
4. Dixon L.J., Magnea L., and Sterman G. JHEP 0808 (2008) 022. arXiv:0805.3515 [hep-ph]
5. Magnea L. Nucl. Phys. B 593 (2001) 269. hep-ph/0006255
6. Moch S., Vermaseren J.A.M., and Vogt A. JHEP 0508 (2005) 049. hep-ph/0507039
7. Becher T., and Neubert M. Phys. Rev. Lett. 102 (2009) 162001. arXiv:0901.0722 [hep-ph]
8. Gardi E., and Magnea L. JHEP 0903 (2009) 079. arXiv:0901.1091 [hep-ph]
9. Anastasiou C., Bern Z., Dixon L.J., and Kosower D.A. Phys. Rev. Lett. 91 (2003) 251602. arXiv:hep-th/0309040
10. Bern Z., Dixon L.J., and Smirnov V.A. Phys. Rev. D 72 (2005) 085001. hep-th/0505205
11. Bern Z., Czakon M., Kosower D.A., Roiban R., and Smirnov V.A. Phys. Rev. Lett. 97 (2006) 181601. hep-th/0604074
12. Bern Z., Czakon M., Dixon L.J., Kosower D.A., and Smirnov V.A. Phys. Rev. D 75 (2007) 085010. hep-th/0610248
13. Cachazo F., Spradlin M., and Volovich A. Phys. Rev. D 75 (2007) 105011. hep-th/0612309
14. Cachazo F., Spradlin M., and Volovich A. Phys. Rev. D 76 (2007) 106004. arXiv:0707.1903 [hep-th]
15. Beisert N., Eden B., and Staudacher M. J. Stat. Mech. 0701 (2007) P021. hep-th/0610251
16. Benna M.K., Benvenuti S., Klebanov I.R., and Scardicchio A. Phys. Rev. Lett. 98 (2007) 131603. hep-th/0611135
17. Basso B., Korchemsky G.P., and Kotanski J. Phys. Rev. Lett. 100 (2008) 091601. arXiv:0708.3933 [hep-th]
18. Roiban R., and Tseytlin A.A. Phys. Rev. D 77 (2008) 066006. arXiv:0712.2479 [hep-th]
19. Kostov I., Serban D., and Volin D. JHEP 0808 (2008) 101. arXiv:0801.2542 [hep-th]
20. Alday L.F., and Maldacena J.M. JHEP 0706 (2007) 064. arXiv:0705.0303 [hep-th]
21. Drummond J.M., Korchemsky G.P., and Sokatchev E. Nucl. Phys. B 795 (2008) 385. arXiv:0707.0243 [hep-th]
22. Brandhuber A., Heslop P., and Travaglini G. Nucl. Phys. B 794 (2008) 231. arXiv:0707.1153 [hep-th]
23. Drummond J.M., Henn J., Korchemsky G.P., and Sokatchev E. arXiv:0712.1223 [hep-th]
24. Anastasiou C., Brandhuber A., Heslop P., Khoze V.V., Spence B., and Travaglini G. JHEP 0905 (2009) 115. arXiv:0902.2245 [hep-th]
25. Alday L.F., and Roiban R. Phys. Rep. 468 (2008) 153. arXiv:0807.1889 [hep-th]
26. Bern Z., Dixon L.J., Dunbar D.C., Perelstein M., and Rozowsky J.S. Nucl. Phys. B 530 (1998) 401. hep-th/9802162
27. Bern Z., Dixon L.J., Perelstein M., and Rozowsky J.S. Nucl. Phys. B 546 (1999) 423. hep-th/9811140
28. Bern Z., Dixon L.J., and Roiban R. Phys. Lett. B 644 (2007) 265. hep-th/0611086
29. Green M.B., Russo J.G., and Vanhove P. JHEP 0702 (2007) 099. hep-th/0610299
30. Green M.B., Russo J.G., and Vanhove P. Phys. Rev. Lett. 98 (2007) 131602. hep-th/0611273
31. Bern Z., Carrasco J.J., Dixon L.J., Johansson H., Kosower D.A., and Roiban R. Phys. Rev. Lett. 98 (2007) 161303. hep-th/0702112
32. Bern Z., Carrasco J.J.M., Dixon L.J., Johansson H., and Roiban R. Phys. Rev. D 78 (2008) 105019. arXiv:0808.4112 [hep-th]
33. Bjerrum-Bohr N.E.J., Dunbar D.C., Ita H., Perkins W.B., and Risager K. JHEP 0612 (2006) 072. hep-th/0610043
34. Bern Z., Carrasco J.J., Forde D., Ita H., and Johansson H. Phys. Rev. D 77 (2008) 025010. arXiv:0707.1035 [hep-th]
35. Mert Aybat S., Dixon L.J., and Sterman G. Phys. Rev. Lett. 97 (2006) 072001. hep-ph/0606254
36. Mert Aybat S., Dixon L.J., and Sterman G. Phys. Rev. D 74 (2006) 074004. hep-ph/0607309
37. Dixon L.J. arXiv:0901.3414 [hep-ph]
38. Kramer G., and Lampe B. Z. Phys. C 34 (1987) 497
39. Kramer G., and Lampe B. Z. Phys. C 42 (1989) 504 Erratum
40. Matsuura T., and van Neerven W.L. Z. Phys. C 38 (1988) 623
41. Matsuura T., van der Maarck S.C., and van Neerven W.L. Nucl. Phys. B 319 (1989) 570
42. Harlander R.V. Phys. Lett. B 492 (2000) 74. hep-ph/0007289
43. Ravindran V., Smith J., and van Neerven W.L. Nucl. Phys. B 704 (2005) 332. hep-ph/0408315
44. Gehrmann T., Huber T., and Maître D. Phys. Lett. B 622 (2005) 295. hep-ph/0507061
45. Bernreuther W., et al. Nucl. Phys. B 706 (2005) 245. hep-ph/0406046
46. Bernreuther W., et al. Nucl. Phys. B 712 (2005) 229. hep-ph/0412259
47. Bernreuther W., et al. Nucl. Phys. B 723 (2005) 91. hep-ph/0504190
48. Moch S., Vermaseren J.A.M., and Vogt A. Phys. Lett. B 625 (2005) 245. hep-ph/0508055
49. Vermaseren J.A.M., Vogt A., and Moch S. Nucl. Phys. B 724 (2005) 3. hep-ph/0504242
50. Tkachov F.V. Phys. Lett. B 100 (1981) 65
51. Chetyrkin K.G., and Tkachov F.V. Nucl. Phys. B 192 (1981) 159
52. Laporta S. Int. J. Mod. Phys. A 15 (2000) 5087. hep-ph/0102033
53. Gehrmann T., and Remiddi E. Nucl. Phys. B 580 (2000) 485. hep-ph/9912329
54. Anastasiou C., and Lazopoulos A. JHEP 0407 (2004) 046. hep-ph/0404258
55. Smirnov A.V. JHEP 0810 (2008) 107. arXiv:0807.3243 [hep-ph]
56. Gehrmann T., Heinrich G., Huber T., and Studerus C. Phys. Lett. B 640 (2006) 252. hep-ph/0607185
57. Heinrich G., Huber T., and Maître D. Phys. Lett. B 662 (2008) 344. arXiv:0711.3590 [hep-ph]
58. Bekavac S. Comput. Phys. Commun. 175 (2006) 180. arXiv:hep-ph/0505174
59. Gorishnii S.G., Larin S.A., Surguladze L.R., and Tkachov F.V. Comput. Phys. Commun. 55 (1989) 381
60. S.A. Larin, F.V. Tkachov, J.A.M. Vermaseren, NIKHEF-H-91-18
61. Baikov P.A. Phys. Lett. B 634 (2006) 325. hep-ph/0507053
62. Baikov P.A., Chetyrkin K.G., and Kühn J.H. Phys. Rev. Lett. 96 (2006) 012003. hep-ph/0511063
63. Baikov P.A., and Smirnov V.A. Phys. Lett. B 477 (2000) 367. hep-ph/0001192
64. Smirnov V.A. Phys. Lett. B 460 (1999) 397. hep-ph/9905323
65. Tausk J.B. Phys. Lett. B 469 (1999) 225. hep-ph/9909506
66. Anastasiou C., and Daleo A. JHEP 0610 (2006) 031. hep-ph/0511176
67. Smirnov V.A. Springer Tracts Mod. Phys. 211 (2004) 1
68. Czakon M. Comput. Phys. Commun. 175 (2006) 559. hep-ph/0511200
69. Smirnov A.V., and Smirnov V.A. arXiv:0901.0386 [hep-ph]
70. Gluza J., Kajda K., and Riemann T. Comput. Phys. Commun. 177 (2007) 879. arXiv:0704.2423 [hep-ph]
71. Binoth T., and Heinrich G. Nucl. Phys. B 585 (2000) 741. hep-ph/0004013
72. Binoth T., and Heinrich G. Nucl. Phys. B 680 (2004) 375. hep-ph/0305234
73. Smirnov A.V., and Tentyukov M.N. Comput. Phys. Commun. 180 (2009) 735. arXiv:0807.4129 [hep-ph]
74. Bogner C., and Weinzierl S. Comput. Phys. Commun. 178 (2008) 596. arXiv:0709.4092 [hep-ph]
75. Remiddi E., and Vermaseren J.A.M. Int. J. Mod. Phys. A 15 (2000) 725. hep-ph/9905237
76. Gehrmann T., and Remiddi E. Comput. Phys. Commun. 141 (2001) 296. hep-ph/0107173
77. Maître D. Comput. Phys. Commun. 174 (2006) 222. hep-ph/0507152
78. Maître D. hep-ph/0703052
79. Huber T., and Maître D. Comput. Phys. Commun. 175 (2006) 122. hep-ph/0507094
80. Huber T., and Maître D. Comput. Phys. Commun. 178 (2008) 755. arXiv:0708.2443 [hep-ph]
81. D.A. Kosower, unpublished, An earlier version is available at http://projects.hepforge.org/mbtools/
82. Vermaseren J.A.M. Int. J. Mod. Phys. A 14 (1999) 2037. hep-ph/9806280
83. Moch S., Uwer P., and Weinzierl S. J. Math. Phys. 43 (2002) 3363. hep-ph/0110083
84. Ferguson H.R.P., Bailey D.H., and Arno S. Math. Comput. 68 (1999) 351
85. H.R.P. Ferguson, D.H. Bailey, S. Arno, NASA-Ames Technical Report, NAS-96-005
86. Baikov P., Chetyrkin K., Smirnov A.V., Smirnov V.A., and Steinhauser M. Phys. Rev. Lett. 102 (2009) 212002. arXiv:0902.3519 [hep-ph]
87. Toedtli B. arXiv:0903.0540 [hep-ph]