MHV-vertices for gravity amplitudes

Journal of High Energy Physics

Volumn , Issue 1, 2006, Pages 203-222

  Bjerrum Bohr, Niels E J ^a   Dunbar, David C ^a   Ita, Harald ^a   Perkins, Warren B ^a   Risager, Kasper ^b  

^a SWANSEA UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

Models of Quantum Gravity; Supergravity Models

Indexed keywords

EID: 33644786422     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/01/009     Document Type: Article

References (81)

1. F.A. Berends and W. Giele, The six gluon process as an example of Weyl-Van Der Waerden spinor calculus 1987 Nucl. Phys. B 294 700
2. M.L. Mangano, S.J. Parke and Z. Xu, Duality and multi-gluon scattering 1988 Nucl. Phys. B 298 653
3. M.L. Mangano, The color structure of gluon emission 1988 Nucl. Phys. B 309 461
4. S.J. Parke and T.R. Taylor, An amplitude for N gluon scattering 1986 Phys. Rev. Lett. 56 2459
5. F.A. Berends and W.T. Giele, Recursive calculations for processes with n gluons 1988 Nucl. Phys. B 306 759
6. Z. Xu, D.-H. Zhang and L. Chang, Helicity amplitudes for multiple bremsstrahlung in massless nonabelian gauge theories 1987 Nucl. Phys. B 291 392
7. M.L. Mangano and S.J. Parke, Multiparton amplitudes in gauge theories 1991 Phys. Rep. 200 301 [hep-th/0509223]
8. E. Witten, Perturbative gauge theory as a string theory in twistor space 2004 Comm. Math. Phys. 252 189 [hep-th/0312171]
9. V.P. Nair, A current algebra for some gauge theory amplitudes 1988 Phys. Lett. B 214 215
10. F. Cachazo, P. Svrcek and E. Witten, MHV vertices and tree amplitudes in gauge theory 2004 J. High Energy Phys. JHEP09(2004)006 [hep-th/0403047]
11. R. Roiban, M. Spradlin and A. Volovich, A googly amplitude from the B-model in twistor space 2004 J. High Energy Phys. JHEP04(2004)012 [hep-th/0402016]
12. C.-J. Zhu, The googly amplitudes in gauge theory 2004 J. High Energy Phys. JHEP04(2004)032 [hep-th/0403115]
13. R. Roiban, M. Spradlin and A. Volovich, On the tree-level S-matrix of Yang-Mills theory 2004 Phys. Rev. D 70 026009 [hep-th/0403190]
14. I. Bena, Z. Bern and D.A. Kosower, Twistor-space recursive formulation of gauge theory amplitudes 2005 Phys. Rev. D 71 045008 [hep-th/0406133]
15. D.A. Kosower, Next-to-maximal helicity violating amplitudes in gauge theory 2005 Phys. Rev. D 71 045007 [hep-th/0406175]
16. G. Georgiou, E.W.N. Glover and V.V. Khoze, Non-MHV tree amplitudes in gauge theory 2004 J. High Energy Phys. JHEP07(2004)048 [hep-th/0407027]
17. R. Roiban, M. Spradlin and A. Volovich, Dissolving N ≤ 4 loop amplitudes into QCD tree amplitudes 2005 Phys. Rev. Lett. 94 102002 [hep-th/0412265]
18. F. Cachazo, P. Svrcek and E. Witten, Gauge theory amplitudes in twistor space and holomorphic anomaly 2004 J. High Energy Phys. JHEP10(2004)077 [hep-th/0409245]
19. I. Bena, Z. Bern, D.A. Kosower and R. Roiban, Loops in twistor space 2005 Phys. Rev. D 71 106010 [hep-th/0410054]
20. R. Britto, F. Cachazo and B. Feng, Computing one-loop amplitudes from the holomorphic anomaly of unitarity cuts 2005 Phys. Rev. D 71 025012 [hep-th/0410179]
21. Z. Bern, V. Del Duca, L.J. Dixon and D.A. Kosower, All non-maximally-helicity-violating one-loop seven-gluon amplitudes in N ≤ 4 super-Yang-Mills theory 2005 Phys. Rev. D 71 045006 [hep-th/0410224]
22. S.J. Bidder, N.E.J. Bjerrum-Bohr, L.J. Dixon and D.C. Dunbar, N ≤ 1 supersymmetric one-loop amplitudes and the holomorphic anomaly of unitarity cuts 2005 Phys. Lett. B 606 189 [hep-th/0410296]
23. S.J. Bidder, N.E.J. Bjerrum-Bohr, D.C. Dunbar and W.B. Perkins, Twistor space structure of the box coefficients of N ≤ 1 one-loop amplitudes 2005 Phys. Lett. B 608 151 [hep-th/0412023]
24. R. Britto, F. Cachazo and B. Feng, Generalized unitarity and one-loop amplitudes in N ≤ 4 super-Yang-Mills 2005 Nucl. Phys. B 725 275 [hep-th/0412103]
25. J. Bedford, A. Brandhuber, B.J. Spence and G. Travaglini, Non-supersymmetric loop amplitudes and MHV vertices 2005 Nucl. Phys. B 712 59 [hep-th/0412108]
26. Z. Bern, L.J. Dixon and D.A. Kosower, All next-to-maximally helicity-violating one-loop gluon amplitudes in N ≤ 4 super-Yang-Mills theory 2005 Phys. Rev. D 72 045014 [hep-th/0412210]
27. S.J. Bidder, N.E.J. Bjerrum-Bohr, D.C. Dunbar and W.B. Perkins, One-loop gluon scattering amplitudes in theories with N<4 supersymmetries 2005 Phys. Lett. B 612 75 [hep-th/0502028]
28. R. Britto, E. Buchbinder, F. Cachazo and B. Feng, One-loop amplitudes of gluons in SQCD 2005 Phys. Rev. D 72 065012 [hep-ph/0503132]
29. S.J. Bidder, D.C. Dunbar and W.B. Perkins, Supersymmetric Ward identities and NMHV amplitudes involving gluinos 2005 J. High Energy Phys. JHEP08(2005)055 [hep-th/0505249]
30. G. Georgiou and V.V. Khoze, Tree amplitudes in gauge theory as scalar MHV diagrams 2004 J. High Energy Phys. JHEP05(2004)070 [hep-th/0404072]
31. J.-B. Wu and C.-J. Zhu, MHV vertices and fermionic scattering amplitudes in gauge theory with quarks and gluinos 2004 J. High Energy Phys. JHEP09(2004)063 [hep-th/0406146]
32. X. Su and J.-B. Wu, Six-quark amplitudes from fermionic MHV vertices 2005 Mod. Phys. Lett. A 20 1065 [hep-th/0409228]
33. L.J. Dixon, E.W.N. Glover and V.V. Khoze, MHV rules for Higgs plus multi-gluon amplitudes 2004 J. High Energy Phys. JHEP12(2004)015 [hep-th/0411092]
34. L.J. Dixon, E.W.N. Glover and V.V. Khoze, MHV rules for Higgs plus multi-gluon amplitudes 2004 J. High Energy Phys. JHEP12(2004)015 [hep-th/0411092]
35. Z. Bern, D. Forde, D.A. Kosower and P. Mastrolia, Twistor-inspired construction of electroweak vector boson currents 2005 Phys. Rev. D 72 025006 [hep-ph/0412167]
36. S.D. Badger, E.W.N. Glover and V.V. Khoze, MHV rules for Higgs plus multi-parton amplitudes 2005 J. High Energy Phys. JHEP03(2005)023 [hep-th/0412275]
37. S.D. Badger, E.W.N. Glover, V.V. Khoze and P. Svrcek, Recursion relations for gauge theory amplitudes with massive particles 2005 J. High Energy Phys. JHEP07(2005)025 [hep-th/0504159]
38. D. Forde and D.A. Kosower, All-multiplicity amplitudes with massive scalars [hep-th/0507292]
39. A. Brandhuber, B.J. Spence and G. Travaglini, One-loop gauge theory amplitudes in N ≤ 4 super Yang-Mills from MHV vertices 2005 Nucl. Phys. B 706 150 [hep-th/0407214]
40. C. Quigley and M. Rozali, One-loop MHV amplitudes in supersymmetric gauge theories 2005 J. High Energy Phys. JHEP01(2005)053 [hep-th/0410278]
41. J. Bedford, A. Brandhuber, B.J. Spence and G. Travaglini, A twistor approach to one-loop amplitudes in N ≤ 1 supersymmetric Yang-Mills theory 2005 Nucl. Phys. B 706 100 [hep-th/0410280]
42. Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, One loop N point gauge theory amplitudes, unitarity and collinear limits 1994 Nucl. Phys. B 425 217 [hep-ph/9403226]
43. Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes 1995 Nucl. Phys. B 435 59 [hep-ph/9409265]
44. R. Britto, F. Cachazo and B. Feng, New recursion relations for tree amplitudes of gluons 2005 Nucl. Phys. B 715 499 [hep-th/0412308]
45. R. Britto, F. Cachazo, B. Feng and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory 2005 Phys. Rev. Lett. 94 181602 [hep-th/0501052]
46. M.-X. Luo and C.-K. Wen, Recursion relations for tree amplitudes in super gauge theories 2005 J. High Energy Phys. JHEP03(2005)004 [hep-th/0501121]
47. M.-X. Luo and C.-K. Wen, Compact formulas for all tree amplitudes of six partons 2005 Phys. Rev. D 71 091501 [hep-th/0502009]
48. R. Britto, B. Feng, R. Roiban, M. Spradlin and A. Volovich, All split helicity tree-level gluon amplitudes 2005 Phys. Rev. D 71 105017 [hep-th/0503198]
49. Z. Bern, L.J. Dixon and D.A. Kosower, On-shell recurrence relations for one-loop QCD amplitudes 2005 Phys. Rev. D 71 105013 [hep-th/0501240]
50. Z. Bern, L.J. Dixon and D.A. Kosower, The last of the finite loop amplitudes in QCD 2005 Phys. Rev. D 72 125003 [hep-ph/0505055]
51. Z. Bern, L.J. Dixon and D.A. Kosower, Bootstrapping multi-parton loop amplitudes in QCD [hep-ph/0507005]
52. Z. Bern, N.E.J. Bjerrum-Bohr, D.C. Dunbar and H. Ita, Recursive calculation of one-loop QCD integral coefficients 2005 J. High Energy Phys. JHEP11(2005)027 [hep-ph/0507019]
53. K. Risager, A direct proof of the CSW rules [hep-th/0508206]
54. F.A. Berends, W.T. Giele and H. Kuijf, On relations between multi-gluon and multigraviton scattering 1988 Phys. Lett. B 211 91
55. J. Bedford, A. Brandhuber, B.J. Spence and G. Travaglini, A recursion relation for gravity amplitudes 2005 Nucl. Phys. B 721 98 [hep-th/0502146]
56. F. Cachazo and P. Svrcek, Tree level recursion relations in general relativity [hep-th/0502160]
57. N.E.J. Bjerrum-Bohr, D.C. Dunbar and H. Ita, Six-point one-loop N ≤ 8 supergravity NMHV amplitudes and their IR behaviour 2005 Phys. Lett. B 621 183 [hep-th/0503102]
58. H. Kawai, D.C. Lewellen and S.H.H. Tye, A relation between tree amplitudes of closed and open strings 1986 Nucl. Phys. B 269 1
59. Z. Bern and D.A. Kosower, Efficient calculation of one loop QCD amplitudes 1991 Phys. Rev. Lett. 66 1669
60. The computation of loop amplitudes in gauge theories 1992 Nucl. Phys. B 379 451
61. Z. Bern, A compact representation of the one loop N gluon amplitude 1992 Phys. Lett. B 296 85
62. Z. Bern, D.C. Dunbar and T. Shimada, String based methods in perturbative gravity 1993 Phys. Lett. B 312 277 [hep-th/9307001]
63. Z. Bern and D.C. Dunbar, A mapping between feynman and string motivated one loop rules in gauge theories 1992 Nucl. Phys. B 379 562
64. Z. Bern, L.J. Dixon, M. Perelstein and J.S. Rozowsky, One-loop N-point helicity amplitudes in (self-dual) gravity 1998 Phys. Lett. B 444 273 [hep-th/9809160]
65. Z. Bern, A. De Freitas and H.L. Wong, On the coupling of gravitons to matter 2000 Phys. Rev. Lett. 84 3531 [hep-th/9912033]
66. Z. Bern, Perturbative quantum gravity and its relation to gauge theory 2002 Living Rev. Rel. 5 5 [gr-qc/0206071]
67. N.E.J. Bjerrum-Bohr, String theory and the mapping of gravity into gauge theory 2003 Phys. Lett. B 560 98 [hep-th/0302131]
68. Generalized string theory mapping relations between gravity and gauge theory 2003 Nucl. Phys. B 673 41 [hep-th/0305062]
69. N.E.J. Bjerrum-Bohr and K. Risager, String theory and the klt-relations between gravity and gauge theory including external matter 2004 Phys. Rev. D 70 086011 [hep-th/0407085]
70. Z. Bern, L.J. Dixon, D.C. Dunbar, M. Perelstein and J.S. Rozowsky, On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences 1998 Nucl. Phys. B 530 401 [hep-th/9802162]
71. Z. Bern, L.J. Dixon, M. Perelstein, D.C. Dunbar and J.S. Rozowsky, Perturbative relations between gravity and gauge theory 2000 Class. Quantum Grav. 17 979 [hep-th/9911194]
72. Z. Bern, L.J. Dixon, M. Perelstein and J.S. Rozowsky, Multi-leg one-loop gravity amplitudes from gauge theory 1999 Nucl. Phys. B 546 423 [hep-th/9811140]
73. D.C. Dunbar and P.S. Norridge, Calculation of graviton scattering amplitudes using string based methods 1995 Nucl. Phys. B 433 181 [hep-th/9408014]
74. D.C. Dunbar and N.W.P. Turner, Gravity and form scattering and renormalisation of gravity in six and eight dimensions 2003 Class. Quantum Grav. 20 2293 [hep-th/0212160]
75. D.C. Dunbar, B. Julia, D. Seminara and M. Trigiante, Counterterms in type-I supergravities 2000 J. High Energy Phys. JHEP01(2000)046 [hep-th/9911158]
76. Z. Bern, N.E.J. Bjerrum-Bohr and D.C. Dunbar, Inherited twistor-space structure of gravity loop amplitudes 2005 J. High Energy Phys. JHEP05(2005)056 [hep-th/0501137]
77. S. Giombi, R. Ricci, D. Robles-Llana and D. Trancanelli, A note on twistor gravity amplitudes 2004 J. High Energy Phys. JHEP07(2004)059 [hep-th/0405086]
78. J.-B. Wu and C.-J. Zhu, MHV vertices and scattering amplitudes in gauge theory 2004 J. High Energy Phys. JHEP07(2004)032 [hep-th/0406085]
79. V.P. Nair, A note on MHV amplitudes for gravitons 2005 Phys. Rev. D 71 121701 [hep-th/0501143]
80. N. Berkovits and E. Witten, Conformal supergravity in twistor-string theory 2004 J. High Energy Phys. JHEP08(2004)009 [hep-th/0406051]
81. N. Berkovits, An alternative string theory in twistor space for N ≤ 4 super-Yang-Mills 2004 Phys. Rev. Lett. 93 011601 [hep-th/0402045]