A comparison of efficient methods for the computation of Born gluon amplitudes

Journal of High Energy Physics

Volumn , Issue 3, 2006, Pages 1367-1386

  Dinsdale, Michael ^a   Ternick, Marko ^a   Weinzierl, Stefan ^a  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

Hadronic Colliders; Jets; QCD

Indexed keywords

EID: 33645675834     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/03/056     Document Type: Article

References (39)

1. F.A. Berends and W.T. Giele, Recursive calculations for processes with N gluons 1988 Nucl. Phys. B 306 759
2. D.A. Kosower, Light cone recurrence relations for QCD amplitudes 1990 Nucl. Phys. B 335 23
3. F. Caravaglios and M. Moretti, An algorithm to compute Born scattering amplitudes without Feynman graphs 1995 Phys. Lett. B 358 332 [hep-ph/9507237]
4. A. Kanaki and C.G. Papadopoulos, HELAC: a package to compute electroweak helicity amplitudes 2000 Comput. Phys. Commun. 132 306 [hep-ph/0002082]
5. M. Moretti, T. Ohl and J. Reuter, O'mega: an optimizing matrix element generator [hep-ph/0102195]
6. E. Witten, Perturbative gauge theory as a string theory in twistor space 2004 Comm. Math. Phys. 252 189 [hep-th/0312171]
7. 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]
8. K. Risager, A direct proof of the CSW rules 2005 J. High Energy Phys. JHEP12(2005)003 [hep-th/0508206]
9. S.J. Parke and T.R. Taylor, An amplitude for N gluon scattering 1986 Phys. Rev. Lett. 56 2459
10. R. Britto, F. Cachazo and B. Feng, New recursion relations for tree amplitudes of gluons 2005 Nucl. Phys. B 715 499 [hep-th/0412308]
11. 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]
12. P.D. Draggiotis, R.H.P. Kleiss, A. Lazopoulos and C.G. Papadopoulos, Diagrammatic proof of the BCFW recursion relation for gluon amplitudes in QCD [hep-ph/0511288]
13. D. Vaman and Y.-P. Yao, QCD recursion relations from the largest time equation [hep-th/0512031]
14. C. Schwinn and S. Weinzierl, Scalar diagrammatic rules for born amplitudes in QCD 2005 J. High Energy Phys. JHEP05(2005)006 [hep-th/0503015]
15. C. Schwinn and S. Weinzierl, Born amplitudes in QCD from scalar diagrams [hep-th/0510054]
16. 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]
17. 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]
18. F. Cachazo, P. Svrcek and E. Witten, Twistor space structure of one-loop amplitudes in gauge theory 2004 J. High Energy Phys. JHEP10(2004)074 [hep-th/0406177]
19. 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]
20. I. Bena, Z. Bern, D.A. Kosower and R. Roiban, Loops in twistor space 2005 Phys. Rev. D 71 106010 [hep-th/0410054]
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. 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]
24. 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]
25. 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]
26. 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]
27. 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]
28. 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]
29. C. Quigley and M. Rozali, One-loop MHV amplitudes in supersymmetric gauge theories 2005 J. High Energy Phys. JHEP01(2005)053 [hep-th/0410278]
30. 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]
31. 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]
32. 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]
33. 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]
34. 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]
35. S. Catani and M.H. Seymour, A general algorithm for calculating jet cross sections in NLO QCD 1997 Nucl. Phys. B 485 291 [hep-ph/9605323]
36. - annihilation, 1999 Phys. Rev. D 60 054028 [hep-ph/9901277]
37. S. Weinzierl, Automated computation of spin- and colour-correlated Born matrix elements 2006 Eur. Phys. J. C 45 745 [hep-ph/0510157]
38. D.A. Kosower, Next-to-maximal helicity violating amplitudes in gauge theory 2005 Phys. Rev. D 71 045007 [hep-th/0406175]
39. 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]