One-loop N = 8 supergravity coefficients from N = 4 super Yang-Mills

Journal of High Energy Physics

Volumn 2009, Issue 8, 2009, Pages

  Katsaroumpas, Panagiotis ^a   Spence, Bill ^a   Travaglini, Gabriele ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Extended supersymmetry; Gauge symmetry; Supergravity models; Supersymmetric gauge theory

Indexed keywords

EID: 70350068032     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/08/096     Document Type: Article

References (50)

1. J. Bedford, A. Brandhuber, B.J. Spence and G. Travaglini, 2005 A recursion relation for gravity amplitudes, Nucl. Phys. B 721 98 [hep-th/0502146]
2. F. Cachazo and P. Svrček, Tree level recursion relations in general relativity, [hep-th/0502160]
3. R. Britto, F. Cachazo, B. Feng and E. Witten, 2005 Direct proof of tree-level recursion relation in Yang-Mills theory, Phys. Rev. Lett. 94 181602 [hep-th/0501052]
4. P. Benincasa, C. Boucher-Veronneau and F. Cachazo, 2007 Taming tree amplitudes in general relativity, JHEP 11 (2007) 057 [hep-th/0702032]
5. N. Arkani-Hamed and J. Kaplan, 2008 On tree amplitudes in gauge theory and gravity, JHEP 04 (2008) 076 [0801.2385]
6. N. Arkani-Hamed, F. Cachazo and J. Kaplan, What is the simplest Quantum Field Theory?, [0808.1446]
7. Z. Bern, L.J. Dixon, M. Perelstein and J.S. Rozowsky, 1999 Multi-leg one-loop gravity amplitudes from gauge theory, Nucl. Phys. B 546 423 [hep-th/9811140]
8. Z. Bern, N.E.J. Bjerrum-Bohr and D.C. Dunbar, 2005 Inherited twistor-space structure of gravity loop amplitudes, JHEP 05 (2005) 056 [hep-th/0501137]
9. N.E.J. Bjerrum-Bohr, D.C. Dunbar and H. Ita, 2005 Six-point one-loop N=8 supergravity NMHV amplitudes and their IR behaviour, Phys. Lett. B 621 183 [hep-th/0503102]
10. N.E.J. Bjerrum-Bohr, D.C. Dunbar, H. Ita, W.B. Perkins and K. Risager, 2006 The no-triangle hypothesis for N=8 supergravity, JHEP 12 (2006) 072 [hep-th/0610043]
11. N.E.J. Bjerrum-Bohr and P. Vanhove, 2008 Explicit cancellation of triangles in one-loop gravity amplitudes, JHEP 04 (2008) 065 [0802.0868]
12. Z. Bern, J.J. Carrasco, D. Forde, H. Ita and H. Johansson, 2008 Unexpected cancellations in gravity theories, Phys. Rev. D 77 025010 [0707.1035]
13. S. Badger, N.E.J. Bjerrum-Bohr and P. Vanhove, 2009 Simplicity in the structure of QED and gravity amplitudes, JHEP 02 (2009) 038 [0811.3405]
14. Z. Bern, L.J. Dixon and R. Roiban, 2007 Is N=8 supergravity ultraviolet finite?, Phys. Lett. B 644 265 [hep-th/0611086]
15. Z. Bern et al., 2007 Three-loop superfiniteness of N=8 supergravity, Phys. Rev. Lett. 98 161303 [hep-th/0702112]
16. Z. Bern, J.J. Carrasco, L.J. Dixon, H. Johansson and R. Roiban, The ultraviolet behavior of N=8 supergravity at four loops, [0905.2326]
17. G. Chalmers, On the finiteness of N=8 quantum supergravity, [hep-th/0008162]
18. M.B. Green, J.G. Russo and P. Vanhove, 2007 Non-renormalisation conditions in type-II string theory and maximal supergravity, JHEP 02 (2007) 099 [hep-th/0610299]
19. M.B. Green, J.G. Russo and P. Vanhove, 2007 Ultraviolet properties of maximal supergravity, Phys. Rev. Lett. 98 131602 [hep-th/0611273]
20. 4 theorems, Phys. Rev. Lett. 98 211601 [hep-th/0609006]
21. H. Elvang and D.Z. Freedman, 2008 Note on graviton MHV amplitudes, JHEP 05 (2008) 096 [0710.1270]
22. F.A. Berends, W.T. Giele and H. Kuijf, 1988 On relations between multi-gluon and multigraviton scattering, Phys. Lett. B 211 91
23. M. Spradlin, A. Volovich and C. Wen, 2009 Three applications of a bonus relation for gravity amplitudes, Phys. Lett. B 674 69 [0812.4767]
24. J.M. Drummond, M. Spradlin, A. Volovich and C. Wen, 2009 Tree-level amplitudes in N=8 supergravity, Phys. Rev. D 79 105018 [0901.2363]
25. A. Brandhuber, P. Heslop and G. Travaglini, 2008 A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix, Phys. Rev. D 78 125005 [0807.4097]
26. R. Britto, F. Cachazo and B. Feng, 2005 New recursion relations for tree amplitudes of gluons, Nucl. Phys. B 715 499 [hep-th/0412308]
27. J.M. Drummond and J.M. Henn, 2009 All tree-level amplitudes in N=4 SYM, JHEP 04 (2009) 018 [0808.2475]
28. V.P. Nair, 1988 A current algebra for some gauge theory amplitudes, Phys. Lett. B 214 215
29. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Generalized unitarity for N=4 super-amplitudes, [0808.0491]
30. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory, [0807.1095]
31. - to four partons, Nucl. Phys. B 513 3 [hep-ph/9708239]
32. R. Britto, F. Cachazo and B. Feng, 2005 Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills, Nucl. Phys. B 725 275 [hep-th/0412103]
33. G. Georgiou and V.V. Khoze, 2004 Tree amplitudes in gauge theory as scalar MHV diagrams, JHEP 05 (2004) 070 [hep-th/0404072]
34. A. Brandhuber, B.J. Spence and G. Travaglini, 2005 One-loop gauge theory amplitudes in N=4 super Yang-Mills from MHV vertices, Nucl. Phys. B 706 150 [hep-th/0407214]
35. M. Bianchi, H. Elvang and D.Z. Freedman, 2008 Generating tree amplitudes in N=4 SYM and N=8 SG, JHEP 09 (2008) 063 [0805.0757]
36. H. Elvang, D.Z. Freedman and M. Kiermaier, 2009 Recursion relations, generating functions and unitarity sums in N=4 SYM theory, JHEP 04 (2009) 009 [0808.1720]
37. H. Elvang, D.Z. Freedman and M. Kiermaier, 2009 Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory, JHEP 06 (2009) 068 [0811.3624]
38. Z. Bern, J.J.M. Carrasco, H. Ita, H. Johansson and R. Roiban, On the structure of supersymmetric sums in multi-loop unitarity cuts, [0903.5348]
39. H. Kawai, D.C. Lewellen and S.H. Henry Tye, 1986 A relation between tree amplitudes of closed and open strings, Nucl. Phys. B 269 1
40. A. Hall, Supersymmetric Yang-Mills and supergravity amplitudes at one loop, [0906.0204]
41. Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, 1994 One-loop n-point gauge theory amplitudes, unitarity and collinear limits, Nucl. Phys. B 425 217 [hep-ph/9403226]
42. Z. Bern, L.J. Dixon and D.A. Kosower, 1994 Dimensionally regulated pentagon integrals, Nucl. Phys. B 412 751 [hep-ph/9306240]
43. C.F. Berger et al., 2008 An automated implementation of on-shell methods for one- loop amplitudes, Phys. Rev. D 78 036003 [0803.4180]
44. K. Risager, Unitarity and on-shell recursion methods for scattering amplitudes, [0804.3310]
45. L. Mason and D. Skinner, Scattering amplitudes and BCFW recursion in twistor space, [0903.2083]
46. N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, The S-matrix in twistor space, [0903.2110]
47. A. Hodges, Eliminating spurious poles from gauge-theoretic amplitudes, [0905.1473]
48. A.P. Hodges, Twistor diagrams for all tree amplitudes in gauge theory: a helicity-independent formalism, [hep-th/0512336]
49. B. Chen and J.-B. Wu, Tree-level split helicity amplitudes in ambitwistor space, [0905.0522]
50. Z. Bern, N.E.J. Bjerrum-Bohr, D.C. Dunbar and H. Ita, 2005 Recursive calculation of one-loop QCD integral coefficients, JHEP 11 (2005) 027 [hep-ph/0507019]