Five-point amplitudes in N=4 super-Yang-Mills theory and N=8 supergravity

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 85, Issue 2, 2012, Pages

  Carrasco, John Joseph M ^a   Johansson, Henrik ^b  

^a STANFORD UNIVERSITY   (United States)

^b CEA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84856731273     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.85.025006     Document Type: Article

References (97)

1. 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
2. Z. Bern, M. Czakon, L.J. Dixon, D.A. Kosower, and V.A. Smirnov, Phys. Rev. D PRVDAQ 1550-7998 75, 085010 (2007). 10.1103/PhysRevD.75.085010
3. J.M. Drummond, J. Henn, G.P. Korchemsky, and E. Sokatchev, Nucl. Phys. NUPBBO 0550-3213 B828, 317 (2010); 10.1016/j.nuclphysb.2009.11.022
4. A. Brandhuber, P. Heslop, and G. Travaglini, Phys. Rev. D PRVDAQ 1550-7998 78, 125005 (2008). 10.1103/PhysRevD.78.125005
5. E. Witten, Commun. Math. Phys. 252, 189 (2004). CMPHAY 0010-3616 10.1007/s00220-004-1187-3 (Pubitemid 40067018)
6. N. Arkani-Hamed, F. Cachazo, C. Cheung, and J. Kaplan, J. High Energy Phys. JHEPFG 1029-8479 03 (2010) 020; 10.1007/JHEP03(2010)020
7. L.J. Mason and D. Skinner, J. High Energy Phys. JHEPFG 1029-8479 11 (2009) 045; 10.1088/1126-6708/2009/11/045
8. N. Arkani-Hamed, F. Cachazo, and C. Cheung, J. High Energy Phys. JHEPFG 1029-8479 03 (2010) 036. 10.1007/JHEP03(2010)036
9. Z. Bern, J.J.M. Carrasco, and H. Johansson, Phys. Rev. D PRVDAQ 1550-7998 78, 085011 (2008). 10.1103/PhysRevD.78.085011
10. Z. Bern, J.J.M. Carrasco, and H. Johansson, Phys. Rev. Lett. 105, 061602 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.061602
11. N.E.J. Bjerrum-Bohr, P.H. Damgaard, and P. Vanhove, Phys. Rev. Lett. 103, 161602 (2009); PRLTAO 0031-9007 10.1103/PhysRevLett.103.161602
12. S. Stieberger, arXiv:0907.2211.
13. B. Feng, R. Huang, and Y. Jia, Phys. Lett. B 695, 350 (2011); PYLBAJ 0370-2693 10.1016/j.physletb.2010.11.011
14. Y.X. Chen, Y.J. Du, and B. Feng, J. High Energy Phys. JHEPFG 1029-8479 02 (2011) 112. 10.1007/JHEP02(2011)112
15. Z. Bern, J.J.M. Carrasco, L.J. Dixon, H. Johansson, and R. Roiban (unpublished).
16. Z. Bern, T. Dennen, Y.t. Huang, and M. Kiermaier, Phys. Rev. D PRVDAQ 1550-7998 82, 065003 (2010). 10.1103/PhysRevD.82.065003
17. H. Kawai, D.C. Lewellen, and S.H.H. Tye, Nucl. Phys. NUPBBO 0550-3213 B269, 1 (1986); 10.1016/0550-3213(86)90362-7
18. Z. Bern, Living Rev. Relativity 1433-8351 5, 5 (2002), http://www.livingreviews.org/lrr-2002-5.
19. N.E.J. Bjerrum-Bohr, P.H. Damgaard, T. Sondergaard, and P. Vanhove, J. High Energy Phys. JHEPFG 1029-8479 06 (2010) 003; 10.1007/JHEP06(2010)003
20. C.R. Mafra, J. High Energy Phys. JHEPFG 1029-8479 11 (2010) 096. 10.1007/JHEP11(2010)096
21. S.H. Henry Tye and Y. Zhang, J. High Energy Phys. JHEPFG 1029-8479 06 (2010) 071. 10.1007/JHEP06(2010)071
22. M. Kiermaier, Amplitudes 2010, Queen Mary, University of London, http://www.strings.ph.qmul.ac.uk/~theory/Amplitudes2010/Talks/MK2010.pdf.
23. N.E.J. Bjerrum-Bohr, P.H. Damgaard, T. Sondergaard, and P. Vanhove, J. High Energy Phys. JHEPFG 1029-8479 01 (2011) 001. 10.1007/JHEP01(2011)001
24. B. Feng, R. Huang, and Y. Jia, Phys. Lett. B 695, 350 (2011). PYLBAJ 0370-2693 10.1016/j.physletb.2010.11.011
25. R. Monteiro and D. O'Connell, J. High Energy Phys. JHEPFG 1029-8479 07 (2011) 007. 10.1007/JHEP07(2011)007
26. C.R. Mafra, O. Schlotterer, and S. Stieberger, J. High Energy Phys. JHEPFG 1029-8479 07 (2011) 092. 10.1007/JHEP07(2011)092
27. T. Sondergaard, Nucl. Phys. NUPBBO 0550-3213 B821, 417 (2009); 10.1016/j.nuclphysb.2009.07.002
28. C.R. Mafra, J. High Energy Phys. JHEPFG 1029-8479 01 (2010) 007; 10.1007/JHEP01(2010)007
29. P. Vanhove, arXiv:1004.1392;
30. Y. Jia, R. Huang, and C.Y. Liu, Phys. Rev. D PRVDAQ 1550-7998 82, 065001 (2010); 10.1103/PhysRevD.82.065001
31. N.E.J. Bjerrum-Bohr, P.H. Damgaard, B. Feng, and T. Sondergaard, Phys. Rev. D PRVDAQ 1550-7998 82, 107702 (2010); 10.1103/PhysRevD.82.107702
32. N.E.J. Bjerrum-Bohr P.H. Damgaard B. Feng T. Sondergaard Phys. Lett. B 691, 268 (2010); PYLBAJ 0370-2693 10.1016/j.physletb.2010.07.002
33. B. Feng and S. He, J. High Energy Phys. JHEPFG 1029-8479 09 (2010) 043; 10.1007/JHEP09(2010)043
34. N.E.J. Bjerrum-Bohr, P.H. Damgaard, B. Feng, and T. Sondergaard, J. High Energy Phys. JHEPFG 1029-8479 09 (2010) 067; 10.1007/JHEP09(2010)067
35. D. Vaman and Y.P. Yao, J. High Energy Phys. JHEPFG 1029-8479 11 (2010) 028; 10.1007/JHEP11(2010)028
36. C.R. Mafra, arXiv:1007.4999;
37. B. Feng, S. He, R. Huang, and Y. Jia, J. High Energy Phys. JHEPFG 1029-8479 10 (2010) 109; 10.1007/JHEP10(2010)109
38. Y. Abe, Nucl. Phys. NUPBBO 0550-3213 B842, 475 (2011); 10.1016/j.nuclphysb.2010.09.012
39. J. Bjornsson, J. High Energy Phys. JHEPFG 1029-8479 01 (2011) 002; 10.1007/JHEP01(2011)002
40. J.H. Huang, R. Huang, and Y. Jia, J. Phys. A JPHAC5 1751-8113 44, 425401 (2011); 10.1088/1751-8113/44/42/425401
41. C.R. Mafra, O. Schlotterer, S. Stieberger, and D. Tsimpis, Nucl. Phys. NUPBBO 0550-3213 B846, 359 (2011); 10.1016/j.nuclphysb.2011.01.008
42. H. Nastase and H.J. Schnitzer, J. High Energy Phys. JHEPFG 1029-8479 01 (2011) 048; 10.1007/JHEP01(2011)048
43. J. Broedel and R. Kallosh, J. High Energy Phys. JHEPFG 1029-8479 06 (2011) 024; 10.1007/JHEP06(2011)024
44. N.E.J. Bjerrum-Bohr, P.H. Damgaard, H. Johansson, and T. Sondergaard, J. High Energy Phys. JHEPFG 1029-8479 05 (2011) 039; 10.1007/JHEP05(2011)039
45. Y.J. Du, B. Feng, and C.H. Fu, J. High Energy Phys. JHEPFG 1029-8479 08 (2011) 129; 10.1007/JHEP08(2011)129
46. C.R. Mafra, O. Schlotterer, and S. Stieberger, arXiv:1106.2645.
47. Z. Bern and T. Dennen, Phys. Rev. Lett. 107, 081601 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.081601
48. J.J.M. Carrasco and H. Johansson (unpublished).
49. 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
50. J.M. Drummond, J. Henn, G.P. Korchemsky, and E. Sokatchev, arXiv:0808.0491.
51. 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 (Pubitemid 44684357)
52. F. Cachazo, arXiv:0803.1988.
53. M. Spradlin, A. Volovich, and C. Wen, Phys. Rev. D PRVDAQ 1550-7998 78, 085025 (2008). 10.1103/PhysRevD.78.085025
54. Z. Bern, J.S. Rozowsky, and B. Yan, Phys. Lett. B 401, 273 (1997). PYLBAJ 0370-2693 10.1016/S0370-2693(97)00413-9
55. Z. Bern, J.J.M. Carrasco, L.J. Dixon, H. Johansson, and R. Roiban, Phys. Rev. D PRVDAQ 1550-7998 78, 105019 (2008). 10.1103/PhysRevD.78.105019
56. Z. Bern, J.J.M. Carrasco, L.J. Dixon, H. Johansson, and R. Roiban, Phys. Rev. D PRVDAQ 1550-7998 82, 125040 (2010). 10.1103/PhysRevD.82.125040
57. Z. Bern, L.J. Dixon, M. Perelstein, and J.S. Rozowsky, Nucl. Phys. NUPBBO 0550-3213 B546, 423 (1999). 10.1016/S0550-3213(99)00029-2
58. Z. Bern, J.J. Carrasco, L.J. Dixon, H. Johansson, and R. Roiban, Fortschr. Phys. 59, 561 (2011); 10.1002/prop.201100037 FPYKA6 0015-8208
59. L.J. Dixon, arXiv:1005.2703;
60. Z. Bern, J.J.M. Carrasco, and H. Johansson, arXiv:0902.3765.
61. M.B. Green, J.G. Russo, and P. Vanhove, J. High Energy Phys. JHEPFG 1029-8479 06 (2010) 075. 10.1007/JHEP06(2010)075
62. H. Elvang, D.Z. Freedman, and M. Kiermaier, J. Phys. A JPHAC5 1751-8113 44, 454009 (2011); 10.1088/1751-8113/44/45/454009
63. N. Beisert, H. Elvang, D.Z. Freedman, M. Kiermaier, A. Morales, and S. Stieberger, Phys. Lett. B 694, 265 (2010); PYLBAJ 0370-2693 10.1016/j.physletb. 2010.09.069
64. H. Elvang, D.Z. Freedman, and M. Kiermaier, J. High Energy Phys. JHEPFG 1029-8479 11 (2010) 016. 10.1007/JHEP11(2010)016
65. G. Bossard, C. Hillmann, and H. Nicolai, J. High Energy Phys. JHEPFG 1029-8479 12 (2010) 052; 10.1007/JHEP12(2010)052
66. R. Kallosh, arXiv:1103.4115;
67. G. Bossard and H. Nicolai, J. High Energy Phys. JHEPFG 1029-8479 08 (2011) 074. 10.1007/JHEP08(2011)074
68. P.S. Howe and K.S. Stelle, Phys. Lett. B 554, 190 (2003). PYLBAJ 0370-2693 10.1016/S0370-2693(02)03271-9
69. Z. Bern, L.J. Dixon, and R. Roiban, Phys. Lett. B 644, 265 (2007). PYLBAJ 0370-2693 10.1016/j.physletb.2006.11.030 (Pubitemid 44960536)
70. Z. Bern, J.J. Carrasco, L.J. Dixon, H. Johansson, D.A. Kosower, and R. Roiban, Phys. Rev. Lett. 98, 161303 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.161303 (Pubitemid 46633706)
71. Z. Bern, J.J. Carrasco, L.J. Dixon, H. Johansson, and R. Roiban, Phys. Rev. Lett. 103, 081301 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.081301
72. J. Bjornsson and M.B. Green, J. High Energy Phys. JHEPFG 1029-8479 08 (2010) 132. 10.1007/JHEP08(2010)132
73. G. Bossard, P.S. Howe, K.S. Stelle, and P. Vanhove, Classical Quantum Gravity CQGRDG 0264-9381 28, 215005 (2011); 10.1088/0264-9381/28/21/215005
74. G. Bossard, P.S. Howe, and K.S. Stelle, J. High Energy Phys. JHEPFG 1029-8479 01 (2011) 020. 10.1007/JHEP01(2011)020
75. R. Kallosh and P. Ramond, arXiv:1006.4684;
76. R. Kallosh, Phys. Rev. D PRVDAQ 1550-7998 80, 105022 (2009). 10.1103/PhysRevD.80.105022
77. M.B. Green, J.H. Schwarz, and L. Brink, Nucl. Phys. NUPBBO 0550-3213 B198, 474 (1982). 10.1016/0550-3213(82)90336-4
78. N. Marcus and A. Sagnotti, Nucl. Phys. NUPBBO 0550-3213 B256, 77 (1985). 10.1016/0550-3213(85)90386-4
79. Z. Bern, L.J. Dixon, D.C. Dunbar, M. Perelstein, and J.S. Rozowsky, Nucl. Phys. NUPBBO 0550-3213 B530, 401 (1998). 10.1016/S0550-3213(98)00420-9
80. 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
81. Z. Bern L.J. Dixon D.C. Dunbar D.A. Kosower Nucl. Phys. NUPBBO 0550-3213 B435, 59 (1995). 10.1016/0550-3213(94)00488-Z
82. Z. Bern, L.J. Dixon, and D.A. Kosower, Nucl. Phys. NUPBBO 0550-3213 B513, 3 (1998). 10.1016/S0550-3213(97)00703-7
83. Z. Bern, V. Del Duca, L.J. Dixon and D.A. Kosower, Phys. Rev. D PRVDAQ 1550-7998 71, 045006 (2005). 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 (Pubitemid 41258272)
85. Z. Bern and Y.t. Huang, J. Phys. A JPHAC5 1751-8113 44, 454003 (2011). 10.1088/1751-8113/44/45/454003
86. L.J. Dixon, J. Phys. A JPHAC5 1751-8113 44, 454001 (2011). 10.1088/1751-8113/44/45/454001
87. J.J.M. Carrasco and H. Johansson, J. Phys. A JPHAC5 1751-8113 44, 454004 (2011). 10.1088/1751-8113/44/45/454004
88. R. Britto, J. Phys. A JPHAC5 1751-8113 44, 454006 (2011). 10.1088/1751-8113/44/45/454006
89. Z. Bern, J.J.M. Carrasco, and H. Johansson, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 205-206, 54 (2010). 10.1016/j.nuclphysbps.2010.08.019
90. Z. Bern, J.J.M. Carrasco, H. Ita, H. Johansson, and R. Roiban, Phys. Rev. D PRVDAQ 1550-7998 80, 065029 (2009). 10.1103/PhysRevD.80.065029
91. J. Brödel and J.J.M. Carrasco, Phys. Rev. D PRVDAQ 1550-7998 84, 085009 (2011). 10.1103/PhysRevD.84.085009
92. Z. Bern, J.J.M. Carrasco, H. Johansson, and D.A. Kosower, Phys. Rev. D PRVDAQ 1550-7998 76, 125020 (2007). 10.1103/PhysRevD.76.125020
93. Z. Bern and A.G. Morgan, Nucl. Phys. NUPBBO 0550-3213 B467, 479 (1996). 10.1016/0550-3213(96)00078-8 (Pubitemid 126165342)
94. 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
95. D. Binosi and L. Theussl, Comput. Phys. Commun. 161, 76 (2004); CPHCBZ 0010-4655 10.1016/j.cpc.2004.05.001
96. D. Binosi, J. Collins, C. Kaufhold, and L. Theussl, Comput. Phys. Commun. 180, 1709 (2009). CPHCBZ 0010-4655 10.1016/j.cpc.2009.02.020
97. J.A.M. Vermaseren, Comput. Phys. Commun. 83, 45 (1994). CPHCBZ 0010-4655 10.1016/0010-4655(94)90034-5