Recursion relations, helicity amplitudes and dimensional regularization

Journal of High Energy Physics

Volumn , Issue 3, 2006, Pages 91-114

  Quigley, Callum ^a   Rozali, Moshe ^b  

^a UNIVERSITY OF TORONTO   (Canada)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Hadronic Colliders; Renormalization Regularization and Renormalons

Indexed keywords

EID: 33645654580     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/03/004     Document Type: Article

References (58)

1. E. Witten, Perturbative gauge theory as a string theory in twistor space 2004 Comm. Math. Phys. 252 189 [hep-th/0312171]
2. V.P. Nair, A current algebra for some gauge theory amplitudes 1988 Phys. Lett. B 214 215
3. S.J. Parke and T.R. Taylor, An amplitude for n gluon scattering 1986 Phys. Rev. Lett. 56 2459
4. R. Penrose and M.A.H. MacCallum, Twistor theory: an approach to the quantization of fields and space-time 1972 Phys. Rep. 6 241
5. 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]
6. C.J. Zhu, The googly amplitudes in gauge theory 2004 J. High Energy Phys. JHEP04(2004)032 [hep-th/0403115]
7. 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]
8. 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]
9. 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]
10. 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]
11. D.A. Kosower, Next-to-maximal helicity violating amplitudes in gauge theory 2005 Phys. Rev. D 71 045007 [hep-th/0406175]
12. X. Su and J.B. Wu, Six-quark amplitudes from fermionic mhv vertices 2005 Mod. Phys. Lett. A 20 1065 [hep-th/0409228]
13. T.G. Birthwright, E.W.N. Glover, V.V. Khoze and P. Marquard, Multi-gluon collinear limits from MHV diagrams 2005 J. High Energy Phys. JHEP05(2005)013 [hep-ph/0503063]
14. T.G. Birthwright, E.W.N. Glover, V.V. Khoze and P. Marquard, Collinear limits in QCD from MHV rules 2005 J. High Energy Phys. JHEP07(2005)068 [hep-ph/0505219]
15. 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]
16. 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]
17. M.X. Luo and C.K. Wen, One-loop maximal helicity violating amplitudes in N ≤ 4 super Yang-Mills theories 2004 J. High Energy Phys. JHEP11(2004)004 [hep-th/0410045]
18. I. Bena, Z. Bern, D.A. Kosower and R. Roiban, Loops in twistor space 2005 Phys. Rev. D 71 106010 [hep-th/0410054]
19. M.X. Luo and C.K. Wen, Systematics of one-loop scattering amplitudes in N ≤ 4 super Yang-Mills theories 2005 Phys. Lett. B 609 86 [hep-th/0410118]
20. C. Quigley and M. Rozali, One-loop mhv amplitudes in supersymmetric gauge theories 2005 J. High Energy Phys. JHEP01(2005)053 [hep-th/0410278]
21. 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]
22. 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]
23. 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]
24. 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]
25. 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]
26. N.E.J. Bjerrum-Bohr, D.C. Dunbar, H. Ita, W.B. Perkins and K. Risager, MHV-vertices for gravity amplitudes 2006 J. High Energy Phys. JHEP01(2006)009 [hep-th/0509016]
27. R. Britto, F. Cachazo and B. Feng, New recursion relations for tree amplitudes of gluons 2005 Nucl. Phys. B 715 499 [hep-th/0412308]
28. 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]
29. 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]
30. 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]
31. 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]
32. 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]
33. 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]
34. F. Cachazo and P. Svrcek, Tree level recursion relations in general relativity [hep-th/0502160]
35. 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]
36. S.D. Badger, E.W.N. Glover and V.V. Khoze, Recursion relations for gauge theory amplitudes with massive vector bosons and fermions 2006 J. High Energy Phys. JHEP01(2006)066 [hep-th/0507161]
37. D. Forde and D.A. Kosower, All-multiplicity amplitudes with massive scalars [hep-th/0507292]
38. G. Rodrigo, Multigluonic scattering amplitudes of heavy quarks 2005 J. High Energy Phys. JHEP09(2005)079 [hep-ph/0508138]
39. 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]
40. The last of the finite loop amplitudes in QCD 2005 Phys. Rev. D 72 125003 [hep-ph/0505055]
41. 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]
42. K. Risager, A direct proof of the CSW rules 2005 J. High Energy Phys. JHEP12(2005)003 [hep-th/0508206]
43. 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]
44. L.J. Dixon, Calculating scattering amplitudes efficiently [hep-ph/9601359]
45. 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]
46. 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]
47. 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]
48. 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]
49. 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]
50. A. Brandhuber, S. McNamara, B.J. Spence and G. Travaglini, Loop amplitudes in pure Yang-Mills from generalised unitarity 2005 J. High Energy Phys. JHEP10(2005)011 [hep-th/0506068]
51. 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]
52. Z. Bern, L.J. Dixon and D.A. Kosower, Bootstrapping multi-parton loop amplitudes in QCD [hep-ph/0507005]
53. Z. Bern, L.J. Dixon and D.A. Kosower, One loop corrections to five gluon amplitudes 1993 Phys. Rev. Lett. 70 2677 [hep-ph/9302280]
54. Z. Bern, L.J. Dixon and D.A. Kosower, One loop corrections to two quark three gluon amplitudes 1995 Nucl. Phys. B 437 259 [hep-ph/9409393]
55. Z. Kunszt, A. Signer and Z. Trócsányi, One loop radiative corrections to the helicity amplitudes of QCD processes involving four quarks and one gluon 1994 Phys. Lett. B 336 529 [hep-ph/9405386]
56. Callum Quigley and Moshe Rozali, in progress
57. M.L. Mangano and S.J. Parke, Multiparton amplitudes in gauge theories 1991 Phys. Rep. 200 301 [hep-th/0509223]
58. Z. Bern and A.G. Morgan, Massive loop amplitudes from unitarity 1996 Nucl. Phys. B 467 479 [hep-ph/9511336]