The six-point remainder function to all loop orders in the multi-Regge limit

Journal of High Energy Physics

Volumn 2013, Issue 1, 2013, Pages

  Pennington, Jeffrey ^a  

^a SLAC NATIONAL ACCELERATOR LABORATORY   (United States)

Author keywords

Extended Supersymmetry; Scattering Amplitudes; Supersymmetric gauge theory

Indexed keywords

EID: 84872320960     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP01(2013)059     Document Type: Article

References (57)

1. 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 ] [ INSPIRE ].
2. Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes, Nucl. Phys. B 435 (1995) 59 [ hep-ph/9409265 ] [ INSPIRE ].
3. R. Britto, F. Cachazo and B. Feng, New recursion relations for tree amplitudes of gluons, Nucl. Phys. B 715 (2005) 499 [ hep-th/0412308 ] [ INSPIRE ]. (Pubitemid 40553620)
4. R. Britto, F. Cachazo, B. Feng and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory, Phys. Rev. Lett. 94 (2005) 181602 [ hep-th/0501052 ] [ INSPIRE ]. (Pubitemid 41493034)
5. N. Arkani-Hamed, J.L. Bourjaily, F. Cachazo, S. Caron-Huot and J. Trnka, The All-Loop Integrand For Scattering Amplitudes in Planar N = 4 SYM, JHEP 01 (2011) 041 [ arXiv:1008.2958 ] [ INSPIRE ].
6. N. Arkani-Hamed, J.L. Bourjaily, F. Cachazo and J. Trnka, Local Integrals for Planar Scattering Amplitudes, JHEP 06 (2012) 125 [ arXiv:1012.6032 ] [ INSPIRE ].
7. Z. Bern, J. Carrasco and H. Johansson, New Relations for Gauge-Theory Amplitudes, Phys. Rev. D 78 (2008) 085011 [ arXiv:0805.3993 ] [ INSPIRE ].
8. Z. Bern, J.J.M. Carrasco and H. Johansson, Perturbative Quantum Gravity as a Double Copy of Gauge Theory, Phys. Rev. Lett. 105 (2010) 061602 [ arXiv:1004.0476 ] [ INSPIRE ].
9. K. T. Chen, Iterated path integrals, Bull. Amer. Math. Soc. (1977) 83 831.
10. 0,n, math/0606419.
11. A.B. Goncharov, A simple construction of Grassmannian polylogarithms, arXiv:0908.2238.
12. A.B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, Classical Polylogarithms for Amplitudes and Wilson Loops, Phys. Rev. Lett. 105 (2010) 151605 [ arXiv:1006.5703 ] [ INSPIRE ].
13. C. Duhr, H. Gangl and J.R. Rhodes, From polygons and symbols to polylogarithmic functions, JHEP 10 (2012) 075 [ arXiv:1110.0458 ] [ INSPIRE ].
14. L.F. Alday and J.M. Maldacena, Gluon scattering amplitudes at strong coupling, JHEP 06 (2007) 064 [ arXiv:0705.0303 ] [ INSPIRE ].
15. J. Drummond, J. Henn, V. Smirnov and E. Sokatchev, Magic identities for conformal four-point integrals, JHEP 01 (2007) 064 [ hep-th/0607160 ] [ INSPIRE ].
16. Z. Bern, M. Czakon, L.J. Dixon, D.A. Kosower and V.A. Smirnov, The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory, Phys. Rev. D 75 (2007) 085010 [ hep-th/0610248 ] [ INSPIRE ].
17. 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 ] [ INSPIRE ].
18. 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 ] [ INSPIRE ].
19. L.F. Alday and J. Maldacena, Comments on gluon scattering amplitudes via AdS/CFT, 7 JHEP 11 (2007) 068 [ arXiv:0710.1060 ] [ INSPIRE ].
20. 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 ] [ INSPIRE ].
21. J. Drummond, J. Henn, G. Korchemsky and E. Sokatchev, Dual superconformal symmetry of scattering amplitudes in N = 4 super-Yang-Mills theory, Nucl. Phys. B 828 (2010) 317 [ arXiv:0807.1095 ] [ INSPIRE ].
22. J.M. Drummond, J.M. Henn and J. Plefka, Yangian symmetry of scattering amplitudes in N =4 super Yang-Mills theory, JHEP 05(2009) 046 [ arXiv:0902.2987 ] [ INSPIRE ].
23. 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 ] [ INSPIRE ].
24. 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 ] [ INSPIRE ].
25. Z. Bern, L. Dixon, D. Kosower, R. Roiban, M. Spradlin, C. Vergu and A. Volovich, The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory, Phys. Rev. D 78 (2008) 045007 [ arXiv:0803.1465 ] [ INSPIRE ].
26. J. Drummond, J. Henn, G. Korchemsky and E. Sokatchev, Hexagon Wilson loop = six-gluon MHV amplitude, Nucl. Phys. B 815 (2009) 142 [ arXiv:0803.1466 ] [ INSPIRE ].
27. J. Drummond, J. Henn, G. Korchemsky and E. Sokatchev, The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude, Phys. Lett. B 662 (2008) 456 [ arXiv:0712.4138 ] [ INSPIRE ].
28. J. Bartels, L. Lipatov and A. Sabio Vera, BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes, Phys. Rev. D 80 (2009) 045002 [ arXiv:0802.2065 ] [ INSPIRE ].
29. V. Del Duca, C. Duhr and V.A. Smirnov, An Analytic Result for the Two-Loop Hexagon Wilson Loop in N = 4 SYM, JHEP 03 (2010) 099 [ arXiv:0911.5332 ] [ INSPIRE ].
30. V. Del Duca, C. Duhr and V.A. Smirnov, The Two-Loop Hexagon Wilson Loop in N = 4 SYM, JHEP 05 (2010) 084 [ arXiv:1003.1702 ] [ INSPIRE ].
31. J. Bartels, L. Lipatov and A. Sabio Vera, N = 4 supersymmetric Yang-Mills scattering amplitudes at high energies: The Regge cut contribution, Eur. Phys. J. C 65 (2010) 587 [ arXiv:0807.0894 ] [ INSPIRE ].
32. R.M. Schabinger, The Imaginary Part of the N = 4 super-Yang-Mills Two-Loop Six-Point MHV Amplitude in Multi-Regge Kinematics, JHEP 11 (2009) 108 [ arXiv:0910.3933 ] [ INSPIRE ].
33. L. Lipatov and A. Prygarin, Mandelstam cuts and light-like Wilson loops in N = 4 SUSY, Phys. Rev. D 83 (2011) 045020 [ arXiv:1008.1016 ] [ INSPIRE ].
34. J. Bartels, J. Kotanski and V. Schomerus, Excited Hexagon Wilson Loops for Strongly Coupled N = 4 SYM, JHEP 01 (2011) 096 [ arXiv:1009.3938 ] [ INSPIRE ].
35. L. Lipatov and A. Prygarin, BFKL approach and six-particle MHV amplitude in N = 4 super Yang-Mills, Phys. Rev. D 83 (2011) 125001 [ arXiv:1011.2673 ] [ INSPIRE ].
36. J. Bartels, L. Lipatov and A. Prygarin, MHV Amplitude for 3 → 3 Gluon Scattering in Regge Limit, Phys. Lett. B 705 (2011) 507 [ arXiv:1012.3178 ] [ INSPIRE ].
37. L.J. Dixon, J.M. Drummond and J.M. Henn, Bootstrapping the three-loop hexagon, JHEP 11 (2011) 023 [ arXiv:1108.4461 ] [ INSPIRE ].
38. V. Fadin and L. Lipatov, BFKL equation for the adjoint representation of the gauge group in the next-to-leading approximation at N = 4 SUSY, Phys. Lett. B 706 (2012) 470 [ arXiv:1111.0782 ] [ INSPIRE ].
39. A. Prygarin, M. Spradlin, C. Vergu and A. Volovich, All Two-Loop MHV Amplitudes in Multi-Regge Kinematics From Applied Symbology, Phys. Rev. D 85 (2012) 085019 [ arXiv:1112.6365 ] [ INSPIRE ].
40. J. Bartels, A. Kormilitzin, L. Lipatov and A. Prygarin, BFKL approach and 2 → 5 maximally helicity violating amplitude in N=4 super-Yang-Mills theory, Phys. Rev. D 86 (2012) 065026 [ arXiv:1112.6366 ] [ INSPIRE ].
41. L. Lipatov, A. Prygarin and H.J. Schnitzer, The Multi-Regge limit of NMHV Amplitudes in N =4 SYM Theory, arXiv:1205.0186 [ INSPIRE ].
42. L.J. Dixon, C. Duhr and J. Pennington, Single-valued harmonic polylogarithms and the multi-Regge limit, JHEP 10 (2012) 074 [ arXiv:1207.0186 ] [ INSPIRE ].
43. J. Bartels, V. Schomerus and M. Sprenger, Multi-Regge Limit of the n-Gluon Bubble Ansatz, arXiv:1207.4204 [ INSPIRE ].
44. F.C.S. Brown, Single-valued multiple polylogarithms in one variable, C. R. Acad. Sci. Paris, Ser. I (2004) 338.
45. R.C. Brower, H. Nastase, H.J. Schnitzer and C.-I. Tan, Implications of multi-Regge limits for the Bern-Dixon-Smirnov conjecture, Nucl. Phys. B 814 (2009) 293 [ arXiv:0801.3891 ] [ INSPIRE ].
46. R.C. Brower, H. Nastase, H.J. Schnitzer and C.-I. Tan, Analyticity for Multi-Regge Limits of the Bern-Dixon-Smirnov Amplitudes, Nucl. Phys. B 822 (2009) 301 [ arXiv:0809.1632 ] [ INSPIRE ].
47. V. Del Duca, C. Duhr and E. Glover, Iterated amplitudes in the high-energy limit, JHEP 12 (2008) 097 [ arXiv:0809.1822 ] [ INSPIRE ].
48. J. Bartels, L. Lipatov and A. Prygarin, Collinear and Regge behavior of 2 → 4 MHV amplitude in N = 4 super Yang-Mills theory, arXiv:1104.4709 [ INSPIRE ].
49. N. Beisert, B. Eden and M. Staudacher, Transcendentality and Crossing, J. Stat. Mech. 0701 (2007) P01021 [ hep-th/0610251 ] [ INSPIRE ].
50. S. Moch, P. Uwer and S. Weinzierl, Nested sums, expansion of transcendental functions and multiscale multiloop integrals, J. Math. Phys. 43 (2002) 3363 [ hep-ph/0110083 ] [ INSPIRE ].
51. V. Del Duca, Equivalence of the Parke-Taylor and the Fadin-Kuraev-Lipatov amplitudes in the high-energy limit, Phys. Rev. D 52 (1995) 1527 [ hep-ph/9503340 ] [ INSPIRE ].
52. E. Remiddi and J. Vermaseren, Harmonic polylogarithms, Int. J. Mod. Phys. A 15 (2000) 725 [ hep-ph/9905237 ] [ INSPIRE ].
53. L. Euler, Meditationes circa singulare serierum genus, Novi Comm. Acad. Sci. Petropol. 20 (1775)140.
54. D. Zagier, Values of zeta functions and their applications, in A. Joseph et al. eds., First European Congress of Mathematics (Paris, 6-10 July 1992), Vol. II, Birkhäuser, Basel (1994), pg. 497-512.
55. L.F. Alday, D. Gaiotto, J. Maldacena, A. Sever and P. Vieira, An Operator Product Expansion for Polygonal null Wilson Loops, JHEP 04 (2011) 088 [ arXiv:1006.2788 ] [ INSPIRE ].
56. D. Gaiotto, J. Maldacena, A. Sever and P. Vieira, Bootstrapping Null Polygon Wilson Loops, JHEP 03 (2011) 092 [ arXiv:1010.5009 ] [ INSPIRE ].
57. D. Gaiotto, J. Maldacena, A. Sever and P. Vieira, Pulling the straps of polygons, JHEP 12 (2011) 011 [ arXiv:1102.0062 ] [ INSPIRE ].