Two-loop six-gluon maximally helicity violating amplitude in maximally supersymmetric Yang-Mills theory

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 78, Issue 4, 2008, Pages

  Bern, Z ^a   Dixon, L J ^b   Kosower, D A ^c   Roiban, R ^d   Spradlin, M ^e   Vergu, C ^c   Volovich, A ^e  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b SLAC NATIONAL ACCELERATOR LABORATORY   (United States)

^c CEA SACLAY   (France)

^d PENNSYLVANIA STATE UNIVERSITY   (United States)

^e BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 49749119515     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.78.045007     Document Type: Article

References (132)

1. G. 't Hooft, Nucl. Phys. NUPBBO 0550-3213 B72, 461 (1974). 10.1016/0550-3213(74)90154-0
2. J.M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998); 1095-0761
3. J.M. Maldacena Int. J. Theor. Phys. 38, 1113 (1999); IJTPBM 0020-7748 10.1023/A:1026654312961
4. S.S. Gubser, I.R. Klebanov, and A.M. Polyakov, Phys. Lett. B 428, 105 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(98)00377-3
5. E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998); 1095-0761
6. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri, and Y. Oz, Phys. Rep. PRPLCM 0370-1573 323, 183 (2000). 10.1016/S0370-1573(99)00083-6
7. C. Anastasiou, Z. Bern, L.J. Dixon, and D.A. Kosower, Phys. Rev. Lett. 91, 251602 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.251602
8. M.T. Grisaru, H.N. Pendleton, and P. van Nieuwenhuizen, Phys. Rev. D 15, 996 (1977); PRVDAQ 0556-2821 10.1103/PhysRevD.15.996
9. M.T. Grisaru and H.N. Pendleton, Nucl. Phys. NUPBBO 0550-3213 B124, 81 (1977); 10.1016/0550-3213(77)90277-2
10. S.J. Parke and T.R. Taylor, Phys. Lett. 157B, 81 (1985); PYLBAJ 0370-2693 10.1016/0370-2693(85)91216-X
11. S.J. Parke T.R. Taylor Phys. Lett. B 174, 465(E) (1986); PYLBAJ 0370-2693 10.1016/0370-2693(86)91038-5
12. Z. Kunszt, Nucl. Phys. NUPBBO 0550-3213 B271, 333 (1986).
13. Z. Bern, L.J. Dixon, D.C. Dunbar, and D.A. Kosower, Phys. Lett. B 394, 105 (1997). PYLBAJ 0370-2693 10.1016/S0370-2693(96)01676-0
14. Z. Bern, L.J. Dixon, and V.A. Smirnov, Phys. Rev. D 72, 085001 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.085001
15. L.F. Alday and J.M. Maldacena, J. High Energy Phys. JHEPFG 1029-8479 06 (2007) 064. 10.1088/1126-6708/2007/06/064
16. J.M. Drummond, G.P. Korchemsky, and E. Sokatchev, Nucl. Phys. NUPBBO 0550-3213 B795, 385 (2008). 10.1016/j.nuclphysb.2007.11.041
17. A. Brandhuber, P. Heslop, and G. Travaglini, Nucl. Phys. NUPBBO 0550-3213 B794, 231 (2008). 10.1016/j.nuclphysb.2007.11.002
18. J.M. Drummond, J. Henn, V.A. Smirnov, and E. Sokatchev, J. High Energy Phys. JHEPFG 1029-8479 01 (2007) 064. 10.1088/1126-6708/2007/01/064
19. Z. Bern, M. Czakon, L.J. Dixon, D.A. Kosower, and V.A. Smirnov, Phys. Rev. D 75, 085010 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.085010
20. J.M. Drummond, J. Henn, G.P. Korchemsky, and E. Sokatchev, Nucl. Phys. NUPBBO 0550-3213 B795, 52 (2008). 10.1016/j.nuclphysb.2007.11.007
21. J.M. Drummond, J. Henn, G.P. Korchemsky, and E. Sokatchev, arXiv:0712.1223.
22. F. Cachazo, M. Spradlin, and A. Volovich, Phys. Rev. D 74, 045020 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.045020
23. Z. Bern, M. Czakon, D.A. Kosower, R. Roiban, and V.A. Smirnov, Phys. Rev. Lett. 97, 181601 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.181601
24. L.F. Alday and J. Maldacena, J. High Energy Phys. JHEPFG 1029-8479 11 (2007) 068. 10.1088/1126-6708/2007/11/068
25. H.J. Schnitzer, arXiv:hep-th/0701217;
26. H.J. Schnitzer arXiv:0706.0917;
27. S.G. Naculich and H.J. Schnitzer, Nucl. Phys. NUPBBO 0550-3213 B794, 189 (2008); 10.1016/j.nuclphysb.2007.10.026
28. V. Del Duca and E.W.N. Glover, arXiv:0802.4445.
29. R.C. Brower, H. Nastase, H.J. Schnitzer, and C.-I. Tan, arXiv:0801.3891.
30. J. Bartels, L.N. Lipatov, and A. Sabio Vera, arXiv:0802.2065 [Phys. Rev. D PRVDAQ 0556-2821 (to be published)].
31. J.M. Drummond, J. Henn, G.P. Korchemsky, and E. Sokatchev, arXiv:0712.4138.
32. J.M. Drummond, J. Henn, G.P. Korchemsky, and E. Sokatchev, arXiv:0803.1466.
33. M.B. Green, J.H. Schwarz, and L. Brink, Nucl. Phys. NUPBBO 0550-3213 B198, 474 (1982). 10.1016/0550-3213(82)90336-4
34. Z. Bern, J.S. Rozowsky, and B. Yan, Phys. Lett. B 401, 273 (1997). PYLBAJ 0370-2693 10.1016/S0370-2693(97)00413-9
35. Z. Bern, J.J.M. Carrasco, H. Johansson, and D.A. Kosower, Phys. Rev. D 76, 125020 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.76.125020
36. Z. Bern, L.J. Dixon, and D.A. Kosower, Phys. Rev. Lett. 70, 2677 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.70.2677
37. J. Gluza, K. Kajda, and T. Riemann, Comput. Phys. Commun. 177, 879 (2007). CPHCBZ 0010-4655 10.1016/j.cpc.2007.07.001
38. M. Czakon, Comput. Phys. Commun. 175, 559 (2006). CPHCBZ 0010-4655 10.1016/j.cpc.2006.07.002
39. R. Akhoury, Phys. Rev. D 19, 1250 (1979); PRVDAQ 0556-2821 10.1103/PhysRevD.19.1250
40. A.H. Mueller, Phys. Rev. D 20, 2037 (1979); PRVDAQ 0556-2821 10.1103/PhysRevD.20.2037
41. J.C. Collins, Phys. Rev. D 22, 1478 (1980); PRVDAQ 0556-2821 10.1103/PhysRevD.22.1478
42. A. Sen, Phys. Rev. D 24, 3281 (1981); PRVDAQ 0556-2821 10.1103/PhysRevD.24.3281
43. G. Sterman, Nucl. Phys. NUPBBO 0550-3213 B281, 310 (1987); 10.1016/0550-3213(87)90258-6
44. J. Botts and G. Sterman, Phys. Lett. B 224, 201 (1989); PYLBAJ 0370-2693 10.1016/0370-2693(89)91074-5
45. J. Botts G. Sterman Phys. Lett. B 227, 501(E) (1989); PYLBAJ 0370-2693
46. S. Catani and L. Trentadue, Nucl. Phys. NUPBBO 0550-3213 B327, 323 (1989); 10.1016/0550-3213(89)90273-3
47. G.P. Korchemsky, Phys. Lett. B 220, 629 (1989); PYLBAJ 0370-2693 10.1016/0370-2693(89)90799-5
48. L. Magnea and G. Sterman, Phys. Rev. D 42, 4222 (1990); PRVDAQ 0556-2821 10.1103/PhysRevD.42.4222
49. G.P. Korchemsky and G. Marchesini, Phys. Lett. B 313, 433 (1993); PYLBAJ 0370-2693 10.1016/0370-2693(93)90015-A
50. S. Catani, Phys. Lett. B 427, 161 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(98)00332-3
51. G. Sterman and M.E. Tejeda-Yeomans, Phys. Lett. B 552, 48 (2003). PYLBAJ 0370-2693 10.1016/S0370-2693(02)03100-3
52. G.P. Korchemsky and G. Marchesini, Nucl. Phys. NUPBBO 0550-3213 B406, 225 (1993). 10.1016/0550-3213(93)90167-N
53. V.A. Smirnov, Phys. Lett. B 524, 129 (2002). PYLBAJ 0370-2693 10.1016/S0370-2693(01)01382-X
54. G.P. Korchemsky and A.V. Radyushkin, Phys. Lett. B 171, 459 (1986); PYLBAJ 0370-2693 10.1016/0370-2693(86)91439-5
55. S.V. Ivanov, G.P. Korchemsky, and A.V. Radyushkin, Yad. Fiz. 44, 230 (1986) IDFZA7 0044-0027
56. [S.V. Ivanov G.P. Korchemsky A.V. Radyushkin Sov. J. Nucl. Phys. 44, 145 (1986)]. SJNCAS 0038-5506
57. Z. Bern, L.J. Dixon, D.C. Dunbar, and D.A. Kosower, Nucl. Phys. NUPBBO 0550-3213 B425, 217 (1994). 10.1016/0550-3213(94)90179-1
58. N. Beisert, B. Eden, and M. Staudacher, J. Stat. Mech. 1742-5468 01 (2007) P021.
59. G.P. Korchemsky and A.V. Radyushkin, Nucl. Phys. NUPBBO 0550-3213 B283, 342 (1987); 10.1016/0550-3213(87)90277-X
60. Y. Makeenko, J. High Energy Phys. JHEPFG 1029-8479 01 (2003) 007; 10.1088/1126-6708/2003/01/007
61. A.V. Kotikov, L.N. Lipatov, and V.N. Velizhanin, Phys. Lett. B 557, 114 (2003); PYLBAJ 0370-2693 10.1016/S0370-2693(03)00184-9
62. A.V. Kotikov, L.N. Lipatov, A.I. Onishchenko, and V.N. Velizhanin, Phys. Lett. B 595, 521 (2004); PYLBAJ 0370-2693 10.1016/j.physletb.2004.05.078
63. A.V. Kotikov L.N. Lipatov A.I. Onishchenko V.N. Velizhanin Phys. Lett. B 632, 754 (2006); PYLBAJ 0370-2693 10.1016/j.physletb.2005.11.002
64. Y. Makeenko, P. Olesen, and G.W. Semenoff, Nucl. Phys. NUPBBO 0550-3213 B748, 170 (2006). 10.1016/j.nuclphysb.2006.05.002
65. F. Cachazo, M. Spradlin, and A. Volovich, Phys. Rev. D 75, 105011 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.105011
66. M. Kruczenski, J. High Energy Phys. JHEPFG 1029-8479 12 (2002) 024. 10.1088/1126-6708/2002/12/024
67. S.S. Gubser, I.R. Klebanov, and A.M. Polyakov, Nucl. Phys. NUPBBO 0550-3213 B636, 99 (2002); 10.1016/S0550-3213(02)00373-5
68. S. Frolov and A.A. Tseytlin, J. High Energy Phys. JHEPFG 1029-8479 06 (2002) 007; 10.1088/1126-6708/2002/06/007
69. R. Roiban and A.A. Tseytlin, J. High Energy Phys. JHEPFG 1029-8479 11 (2007) 016. 10.1088/1126-6708/2007/11/016
70. M. Kruczenski, R. Roiban, A. Tirziu, and A.A. Tseytlin, Nucl. Phys. NUPBBO 0550-3213 B791, 93 (2008). 10.1016/j.nuclphysb.2007.09.005
71. B. Basso, G.P. Korchemsky, and J. Kotański, Phys. Rev. Lett. 100, 091601 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.091601
72. F. Cachazo, M. Spradlin, and A. Volovich, Phys. Rev. D 76, 106004 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.76.106004
73. B. Eden and M. Staudacher, J. Stat. Mech. 1742-5468 11 (2006) P014.
74. M.K. Benna, S. Benvenuti, I.R. Klebanov, and A. Scardicchio, Phys. Rev. Lett. 98, 131603 (2007); PRLTAO 0031-9007 10.1103/PhysRevLett.98.131603
75. A.V. Kotikov and L.N. Lipatov, Nucl. Phys. NUPBBO 0550-3213 B769, 217 (2007); 10.1016/j.nuclphysb.2007.01.020
76. L.F. Alday, G. Arutyunov, M.K. Benna, B. Eden, and I.R. Klebanov, J. High Energy Phys. JHEPFG 1029-8479 04 (2007) 082; 10.1088/1126-6708/2007/04/082
77. I. Kostov, D. Serban, and D. Volin, Nucl. Phys. NUPBBO 0550-3213 B789, 413 (2008); 10.1016/j.nuclphysb.2007.06.017
78. M. Beccaria, G.F. De Angelis, and V. Forini, J. High Energy Phys. JHEPFG 1029-8479 04 (2007) 066; 10.1088/1126-6708/2007/04/066
79. P.Y. Casteill and C. Kristjansen, Nucl. Phys. NUPBBO 0550-3213 B785, 1 (2007). 10.1016/j.nuclphysb.2007.06.011
80. D.J. Gross and P.F. Mende, Phys. Lett. B 197, 129 (1987). PYLBAJ 0370-2693 10.1016/0370-2693(87)90355-8
81. S. Abel, S. Förste, and V.V. Khoze, J. High Energy Phys. JHEPFG 1029-8479 02 (2008) 042. 10.1088/1126-6708/2008/02/042
82. Z. Bern, L.J. Dixon, D.C. Dunbar, and D.A. Kosower, Nucl. Phys. NUPBBO 0550-3213 B435, 59 (1995). 10.1016/0550-3213(94)00488-Z
83. Z. Bern, V. Del Duca, L.J. Dixon, and D.A. Kosower, Phys. Rev. D 71, 045006 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.71.045006
84. R. Britto, F. Cachazo, and B. Feng, Nucl. Phys. NUPBBO 0550-3213 B725, 275 (2005); 10.1016/j.nuclphysb.2005.07.014
85. Z. Bern, L.J. Dixon, and D.A. Kosower, Phys. Rev. D 72, 045014 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.72.045014
86. R. Britto, F. Cachazo, and B. Feng, Phys. Lett. B 611, 167 (2005). PYLBAJ 0370-2693 10.1016/j.physletb.2005.02.009
87. A. Mironov, A. Morozov, and T.N. Tomaras, J. High Energy Phys. JHEPFG 1029-8479 11 (2007) 021. 10.1088/1126-6708/2007/11/021
88. G. Yang, J. High Energy Phys. JHEPFG 1029-8479 03 (2008) 010. 10.1088/1126-6708/2008/03/010
89. A. Jevicki, C. Kalousios, M. Spradlin, and A. Volovich, J. High Energy Phys. JHEPFG 1029-8479 12 (2007) 047; 10.1088/1126-6708/2007/12/047
90. J. McGreevy and A. Sever, J. High Energy Phys. JHEPFG 1029-8479 02 (2008) 015; 10.1088/1126-6708/2008/02/015
91. D. Astefanesei, S. Dobashi, K. Ito, and H.S. Nastase, J. High Energy Phys. JHEPFG 1029-8479 12 (2007) 077; 10.1088/1126-6708/2007/12/077
92. A. Mironov, A. Morozov, and T. Tomaras, Phys. Lett. B 659, 723 (2008); PYLBAJ 0370-2693 10.1016/j.physletb.2007.11.025
93. H. Itoyama, A. Mironov, and A. Morozov, arXiv:0712.0159;
94. H. Itoyama and A. Morozov, arXiv:0712.2316.
95. E.I. Buchbinder, Phys. Lett. B 654, 46 (2007). PYLBAJ 0370-2693 10.1016/j.physletb.2007.08.028
96. Z. Komargodski, J. High Energy Phys. JHEPFG 1029-8479 05 (2008) 019. 10.1088/1126-6708/2008/05/019
97. S.J. Rey and J.T. Yee, Eur. Phys. J. C 22, 379 (2001); EPCFFB 1434-6044 10.1007/s100520100799
98. J.M. Maldacena, Phys. Rev. Lett. 80, 4859 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.4859
99. F. Cachazo, P. Svrček, and E. Witten, J. High Energy Phys. JHEPFG 1029-8479 10 (2004) 077. 10.1088/1126-6708/2004/10/077
100. D.J. Broadhurst, Phys. Lett. B 307, 132 (1993). PYLBAJ 0370-2693 10.1016/0370-2693(93)90202-S
101. L.N. Lipatov, Nucl. Phys. NUPBBO 0550-3213 B548, 328 (1999). 10.1016/S0550-3213(99)00133-9
102. Z. Bern, L.J. Dixon, and D.A. Kosower, Nucl. Phys. NUPBBO 0550-3213 B513, 3 (1998). 10.1016/S0550-3213(97)00703-7
103. Z. Bern, A. De Freitas, and L.J. Dixon, J. High Energy Phys. JHEPFG 1029-8479 03 (2002) 018. 10.1088/1126-6708/2002/03/018
104. F. Cachazo and D. Skinner, arXiv:0801.4574.
105. T. Hahn, Comput. Phys. Commun. 168, 78 (2005). CPHCBZ 0010-4655 10.1016/j.cpc.2005.01.010
106. M.L. Mangano and S.J. Parke, Phys. Rep. PRPLCM 0370-1573 200, 301 (1991); 10.1016/0370-1573(91)90091-Y
107. L.J. Dixon, in QCD & Beyond: Proceedings of TASI '95, edited by, D.E. Soper, (World Scientific, Singapore, 1996).
108. Z. Bern, V. Del Duca, and C.R. Schmidt, Phys. Lett. B 445, 168 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(98)01495-6
109. D.A. Kosower and P. Uwer, Nucl. Phys. NUPBBO 0550-3213 B563, 477 (1999); 10.1016/S0550-3213(99)00583-0
110. Z. Bern, V. Del Duca, W.B. Kilgore, and C.R. Schmidt, Phys. Rev. D 60, 116001 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.60.116001
111. D.A. Kosower, Nucl. Phys. NUPBBO 0550-3213 B552, 319 (1999). 10.1016/S0550-3213(99)00251-5
112. Z. Bern, L.J. Dixon, and D.A. Kosower, J. High Energy Phys. JHEPFG 1029-8479 08 (2004) 012. 10.1088/1126-6708/2004/08/012
113. J.M. Campbell and E.W.N. Glover, Nucl. Phys. NUPBBO 0550-3213 B527, 264 (1998). 10.1016/S0550-3213(98)00295-8
114. S. Catani and M. Grazzini, Phys. Lett. B 446, 143 (1999); PYLBAJ 0370-2693 10.1016/S0370-2693(98)01513-5
115. S. Catani and M. Grazzini, Nucl. Phys. NUPBBO 0550-3213 B570, 287 (2000). 10.1016/S0550-3213(99)00778-6
116. V. Del Duca, A. Frizzo, and F. Maltoni, Nucl. Phys. NUPBBO 0550-3213 B568, 211 (2000). 10.1016/S0550-3213(99)00657-4
117. T.G. Birthwright, E.W.N. Glover, V.V. Khoze, and P. Marquard, J. High Energy Phys. JHEPFG 1029-8479 05 (2005) 013. 10.1088/1126-6708/2005/05/013
118. F. Cachazo, P. Svrček, and E. Witten, J. High Energy Phys. JHEPFG 1029-8479 09 (2004) 006. 10.1088/1126-6708/2004/09/006
119. S. Catani, D. de Florian, and G. Rodrigo, Phys. Lett. B 586, 323 (2004). PYLBAJ 0370-2693 10.1016/j.physletb.2004.02.039
120. J.A. Minahan and K. Zarembo, J. High Energy Phys. JHEPFG 1029-8479 03 (2003) 013; 10.1088/1126-6708/2003/03/013
121. N. Beisert, C. Kristjansen, and M. Staudacher, Nucl. Phys. NUPBBO 0550-3213 B664, 131 (2003); 10.1016/S0550-3213(03)00406-1
122. A.V. Belitsky, A.S. Gorsky, and G.P. Korchemsky, Nucl. Phys. NUPBBO 0550-3213 B667, 3 (2003); 10.1016/S0550-3213(03)00542-X
123. N. Beisert, Nucl. Phys. NUPBBO 0550-3213 B676, 3 (2004); 10.1016/j.nuclphysb.2003.10.019
124. N. Beisert and M. Staudacher, Nucl. Phys. NUPBBO 0550-3213 B670, 439 (2003); 10.1016/j.nuclphysb.2003.08.015
125. N. Beisert, J. High Energy Phys. JHEPFG 1029-8479 09 (2003) 062; 10.1088/1126-6708/2003/09/062
126. L. Dolan, C.R. Nappi, and E. Witten, J. High Energy Phys. JHEPFG 1029-8479 10 (2003) 017. 10.1088/1126-6708/2003/10/017
127. E. Witten, Commun. Math. Phys. 252, 189 (2004). CMPHAY 0010-3616 10.1007/s00220-004-1187-3
128. F. Cachazo, P. Svrček, and E. Witten, J. High Energy Phys. JHEPFG 1029-8479 10 (2004) 074. 10.1088/1126-6708/2004/10/074
129. D. Binosi and L. Theussl, Comput. Phys. Commun. 161, 76 (2004). CPHCBZ 0010-4655 10.1016/j.cpc.2004.05.001
130. J.A.M. Vermaseren, Comput. Phys. Commun. 83, 45 (1994). CPHCBZ 0010-4655 10.1016/0010-4655(94)90034-5
131. T. Hahn and P. Lang, arXiv:0711.1345.
132. T. Hahn, Comput. Phys. Commun. 140, 418 (2001). CPHCBZ 0010-4655 10.1016/S0010-4655(01)00290-9