An all order identity between ABJM and N = 4 SYM four-point amplitudes

Journal of High Energy Physics

Volumn 2012, Issue 4, 2012, Pages

  Bianchi, Marco S ^a   Leoni, Matias ^a   Penati, Silvia ^a  

^a INFN SEZIONE DI MILANO BICOCCA   (Italy)

Author keywords

Chern Simons Theories; Scattering Amplitudes

Indexed keywords

EID: 84860311480     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP04(2012)045     Document Type: Article

References (38)

1. O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP 10 (2008) 091 [arXiv:0806.1218].
2. W.-M. Chen and Y.-t. Huang, Dualities for loop amplitudes of N = 6 Chern-Simons matter theory, JHEP 11 (2011) 057 [arXiv:1107.2710].
3. M.S. Bianchi, M. Leoni, A. Mauri, S. Penati and A. Santambrogio, Scattering amplitudes/Wilson loop duality in ABJM theory, JHEP 01 (2012) 056 [arXiv:1107.3139].
4. M.S. Bianchi, M. Leoni, A. Mauri, S. Penati and A. Santambrogio, Scattering in ABJ theories, JHEP 12 (2011) 073 [arXiv:1110.0738].
5. J. Drummond, J. Henn, V. Smirnov and E. Sokatchev, Magic identities for conformal four-point integrals, JHEP 01 (2007) 064 [hep-th/0607160].
6. G. Korchemsky, J. Drummond and E. Sokatchev, Conformal properties of four-gluon planar amplitudes and Wilson loops, Nucl. Phys. B 795 (2008) 385 [arXiv:0707.0243].
7. A. Brandhuber, P. Heslop and G. Travaglini, MHV amplitudes in N = 4 super Yang-Mills and Wilson loops, Nucl. Phys. B 794 (2008) 231 [arXiv:0707.1153].
8. J. Drummond, J. Henn, G. Korchemsky and E. Sokatchev, On planar gluon amplitudes/Wilson loops duality, Nucl. Phys. B 795 (2008) 52 [arXiv:0709.2368].
9. C. Anastasiou, Z. Bern, L.J. Dixon and D. Kosower, Planar amplitudes in maximally supersymmetric Yang-Mills theory, Phys. Rev. Lett. 91 (2003) 251602 [hep-th/0309040].
10. Z. Bern, L.J. Dixon and V.A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond, Phys. Rev. D 72 (2005) 085001 [hep-th/0505205].
11. A.H. Mueller, On the asymptotic behavior of the Sudakov form-factor, Phys. Rev. D 20 (1979) 2037.
12. J.C. Collins, Algorithm to compute corrections to the Sudakov form-factor, Phys. Rev. D 22 (1980) 1478.
13. A. Sen, Asymptotic behavior of the Sudakov form-factor in QCD, Phys. Rev. D 24 (1981) 3281.
14. G. Korchemsky and A. Radyushkin, Loop space formalism and renormalization group for the infrared asymptotics of QCD, Phys. Lett. B 171 (1986) 459.
15. G. Korchemsky and A. Radyushkin, Renormalization of the Wilson loops beyond the leading order, Nucl. Phys. B 283 (1987) 342.
16. G. Korchemsky, Double logarithmic asymptotics in QCD, Phys. Lett. B 217 (1989) 330.
17. L. Magnea and G.F. Sterman, Analytic continuation of the Sudakov form-factor in QCD, Phys. Rev. D 42 (1990) 4222.
18. G.F. Sterman and M.E. Tejeda-Yeomans, Multiloop amplitudes and resummation, Phys. Lett. B 552 (2003) 48 [hep-ph/0210130].
19. J. Drummond, J. Henn, G. Korchemsky and E. Sokatchev, Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes, Nucl. Phys. B 826 (2010) 337 [arXiv:0712.1223].
20. N. Gromov and P. Vieira, The all loop AdS4/CFT3 Bethe ansatz, JHEP 01 (2009) 016 [arXiv:0807.0777].
21. T. Nishioka and T. Takayanagi, On type IIA Penrose limit and N = 6 Chern-Simons theories, JHEP 08 (2008) 001 [arXiv:0806.3391].
22. D. Gaiotto, S. Giombi and X. Yin, Spin chains in N = 6 superconformal Chern-Simons-matter theory, JHEP 04 (2009) 066 [arXiv:0806.4589].
23. G. Grignani, T. Harmark and M. Orselli, The SU(2) × SU(2) sector in the string dual of N = 6 superconformal Chern-Simons theory, Nucl. Phys. B 810 (2009) 115 [arXiv:0806.4959].
24. J. Minahan, O. Ohlsson Sax and C. Sieg, Anomalous dimensions at four loops in N = 6 superconformal Chern-Simons theories, Nucl. Phys. B 846 (2011) 542 [arXiv:0912.3460].
25. J. Minahan, O. Ohlsson Sax and C. Sieg, Magnon dispersion to four loops in the ABJM and ABJ models, J. Phys. A 43 (2010) 275402 [arXiv:0908.2463].
26. M. Leoni et al., Superspace calculation of the four-loop spectrum in N = 6 supersymmetric Chern-Simons theories, JHEP 12 (2010) 074 [arXiv:1010.1756].
27. R.K. Ellis and J. Sexton, QCD radiative corrections to parton parton scattering, Nucl. Phys. B 269 (1986) 445.
28. Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, One loop n point gauge theory amplitudes, unitarity and collinear limits, Nucl. Phys. B 425 (1994) 217 [hep-ph/9403226].
29. V.A. Smirnov and O. Veretin, Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators, Nucl. Phys. B 566 (2000) 469 [hep-ph/9907385].
30. Z. Bern, L.J. Dixon and D.A. Kosower, Dimensionally regulated pentagon integrals, Nucl. Phys. B 412 (1994) 751 [hep-ph/9306240].
31. C. Anastasiou and A. Banfi, Loop lessons from Wilson loops in N = 4 supersymmetric Yang-Mills theory, JHEP 02 (2011) 064 [arXiv:1101.4118].
32. Z. Bern, L.J. Dixon and D. Kosower, A two loop four gluon helicity amplitude in QCD, JHEP 01 (2000) 027 [hep-ph/0001001].
33. M. Benna, I. Klebanov, T. Klose and M. Smedback, Superconformal Chern-Simons theories and AdS4/CFT3 correspondence, JHEP 09 (2008) 072 [arXiv:0806.1519].
34. M.S. Bianchi, S. Penati and M. Siani, Infrared stability of ABJ-like theories, JHEP 01 (2010) 080 [arXiv:0910.5200].
35. M.S. Bianchi, S. Penati and M. Siani, Infrared stability of N = 2 Chern-Simons matter theories, JHEP 05 (2010) 106 [arXiv:0912.4282].
36. V.A. Smirnov, Evaluating Feynman integrals, Springer Tracts Mod. Phys. 211 (2004) 1.
37. J.M. Henn, J. Plefka and K. Wiegandt, Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory, JHEP 08 (2010) 032 [Erratum ibid. 11 (2011) 053] [arXiv:1004.0226].
38. K. Wiegandt, Equivalence of Wilson loops in N = 6 super Chern-Simons matter theory and N = 4 SYM theory, Phys. Rev. D 84 (2011) 126015 [arXiv:1110.1373].