The rational parts of one-loop QCD amplitudes II: The five-gluon case

Nuclear Physics B

Volumn 758, Issue 1-2, 2006, Pages 35-52

  Su, Xun ^a   Xiao, Zhi Guang ^a,b   Yang, Gang ^a   Zhu, Chuan Jie ^a,c  

^a INSTITUTE OF THEORETICAL PHYSICS   (China)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^c ZHEJIANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33750619524     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2006.09.007     Document Type: Article

References (61)

1. Xiao Z.-G., Yang G., and Zhu C.-J. The rational parts of one-loop QCD amplitudes I: The general formalism. hep-ph/0607015
2. Bern Z., Dixon L.J., and Kosower D.A. One loop corrections to five gluon amplitudes. Phys. Rev. Lett. 70 (1993) 2677-2680. hep-ph/9302280
3. Bern Z. String based perturbative methods for gauge theories. TASI 92 lectures. hep-ph/9304249
4. Kunszt Z., Signer A., and Trócsányi Z. One-loop radiative corrections to the helicity amplitudes of QCD processes involving four quarks and one gluon. Phys. Lett. B 336 (1994) 529-536. hep-ph/9405386
5. Bern Z., Dixon L.J., and Kosower D.A. One-loop corrections to two-quark three-gluon amplitudes. Nucl. Phys. B 437 (1995) 259-304. hep-ph/9409393
6. Ellis R.K., and Sexton J.C. QCD radiative corrections to parton-parton scattering. Nucl. Phys. B 269 (1986) 445-484
7. Bern Z., and Kosower D.A. Efficient computation of gauge theory loops using string theory. Copenhagen 1987, Proceedings, Perspectives in String Theory (1987) 390-402
8. Bern Z., and Kosower D.A. A new approach to one-loop calculations in gauge theories. Phys. Rev. D 38 (1988) 1888
9. Bern Z., and Kosower D.A. Efficient calculation of one-loop QCD amplitudes. Phys. Rev. Lett. 66 (1991) 1669-1672
10. Bern Z., and Kosower D.A. The computation of loop amplitudes in gauge theories. Nucl. Phys. B 379 (1992) 451-561
11. Salam G.P. Developments in perturbative QCD. Invited talk at 22nd International Symposium on Lepton-Photon Interactions at High Energy (LP 2005), Uppsala, Sweden, 30 June-5 July 2005. hep-ph/0510090
12. Witten E. Perturbative gauge theory as a string theory in twistor space. Commun. Math. Phys. 252 (2004) 189-258. hep-th/0312171
13. Cachazo F., Svrček P., and Witten E. MHV vertices and tree amplitudes in gauge theory. JHEP 0409 (2004) 006. hep-th/0403047
14. Bern Z., Dixon L., Dunbar D.C., and Kosower D.A. One-loop n-point gauge theory amplitudes, unitarity and collinear limits. Nucl. Phys. B 425 (1994) 217-260. hep-ph/9403226
15. Bern Z., Dixon L., Dunbar D.C., and Kosower D.A. Fusing gauge theory tree amplitudes into loop amplitudes. Nucl. Phys. B 435 (1995) 59-101. hep-ph/9409265
16. Brandhuber A., Spence B., and Travaglini G. One-loop gauge theory amplitudes in N = 4 super-Yang-Mills from MHV vertices. Nucl. Phys. B 706 (2005) 150-180. hep-th/0407214
17. Brandhuber A., Spence B., and Travaglini G. From trees to loops and back. JHEP 0601 (2006) 142. hep-th/0510253
18. Cachazo F. Holomorphic anomaly of unitarity cuts and one-loop gauge theory amplitudes. hep-th/0410077
19. Bern Z., Del Duca V., Dixon L.J., and Kosower D.A. All non-maximally-helicity-violating one-loop seven-gluon amplitudes in N = 4 super-Yang-Mills theory. Phys. Rev. D 71 (2005) 045006. hep-th/0410224
20. Bidder S.J., Bjerrum-Bohr N.E.J., Dixon L.J., and Dunbar D.C. N = 1 supersymmetric one-loop amplitudes and the holomorphic anomaly of unitarity cuts. Phys. Lett. B 606 (2005) 189-201. hep-th/0410296
21. Bern Z., Dixon L.J., and Kosower D.A. All next-to-maximally-helicity-violating one-loop gluon amplitudes in N = 4 super-Yang-Mills theory. Phys. Rev. D 72 (2005) 045014. hep-th/0412210
22. Quigley C., and Rozali M. One-loop MHV amplitudes in supersymmetric gauge theories. JHEP 0501 (2005) 053. hep-th/0410278
23. Bedford J., Brandhuber A., Spence B., and Travaglini G. A twistor approach to one-loop amplitudes in N = 1 supersymmetric Yang-Mills theory. Nucl. Phys. B 706 (2005) 100-126. hep-th/0410280
24. Bedford J., Brandhuber A., Spence B., and Travaglini G. Non-supersymmetric loop amplitudes and MHV vertices. Nucl. Phys. B 712 (2005) 59-85. hep-th/0412108
25. Bidder S.J., Bjerrum-Bohr N.E.J., Dunbar D.C., and Perkins W.B. Twistor space structure of the box coefficients of N = 1 one-loop amplitudes. Phys. Lett. B 608 (2005) 151-163. hep-th/0412023
26. Bidder S.J., Bjerrum-Bohr N.E.J., Dunbar D.C., and Perkins W.B. One-loop gluon scattering amplitudes in theories with N < 4 supersymmetries. Phys. Lett. B 612 (2005) 75-88. hep-th/0502028
27. Bern Z., Bjerrum-Bohr N.E.J., Dunbar D.C., and Ita H. Recursive calculation of one-loop QCD integral coefficients. JHEP 0511 (2005) 027. hep-ph/0507019
28. Luo M.-X., and Wen C.-K. One-loop maximal helicity violating amplitudes in N = 4 super-Yang-Mills theories. JHEP 0411 (2004) 004. hep-th/0410045
29. Luo M.-X., and Wen C.-K. Systematics of one-loop scattering amplitudes in N = 4 super-Yang-Mills theories. Phys. Lett. B 609 (2005) 86-94. hep-th/0410118
30. Britto R., Cachazo F., and Feng B. New recursion relations for tree amplitudes of gluons. Nucl. Phys. B 715 (2005) 499-522. hep-th/0412308
31. Britto R., Cachazo F., Feng B., and Witten E. Direct proof of tree-level recursion relation in Yang-Mills theory. Phys. Rev. Lett. 94 (2005) 181602. hep-th/0501052
32. Britto R., Cachazo F., and Feng B. Generalized unitarity and one-loop amplitudes in N = 4 super-Yang-Mills. Nucl. Phys. B 725 (2005) 275-305. hep-th/0412103
33. Britto R., Buchbinder E., Cachazo F., and Feng B. One-loop amplitudes of gluons in SQCD. Phys. Rev. D 72 (2005) 065012. hep-ph/0503132
34. Britto R., Feng B., and Mastrolia P. The cut-constructible part of QCD amplitudes. Phys. Rev. D 73 (2006) 105004. hep-ph/0602178
35. - to four partons. Nucl. Phys. B 513 (1998) 3-86. hep-ph/9708239
36. Bern Z., and Morgan A.G. Massive loop amplitudes from unitarity. Nucl. Phys. B 467 (1996) 479-509. hep-ph/9511336
37. For reviews see:. Bern Z., Dixon L., and Kosower D.A. Progress in one-loop QCD computations. Annu. Rev. Nucl. Part. Sci. 46 (1996) 109-148. hep-ph/9602280
38. Bern Z., Dixon L., and Kosower D.A. Unitarity-based techniques for one-loop calculations in QCD. Nucl. Phys. B (Proc. Suppl.) 51C (1996) 243-249. hep-ph/9606378
39. Brandhuber A., McNamara S., Spence B., and Travaglini G. Loop amplitudes in pure Yang-Mills from generalised unitarity. JHEP 0510 (2005) 011. hep-th/0506068
40. Bern Z., Dixon L.J., and Kosower D.A. On-shell recurrence relations for one-loop QCD amplitudes. Phys. Rev. D 71 (2005) 105013. hep-th/0501240
41. Bern Z., Dixon L.J., and Kosower D.A. The last of the finite loop amplitudes in QCD. Phys. Rev. D 72 (1996) 125003. hep-ph/0505055
42. Bern Z., Dixon L.J., and Kosower D.A. Bootstrapping multi-parton loop amplitudes in QCD. Phys. Rev. D 73 (2006) 065013. hep-ph/0507005
43. Forde D., and Kosower D.A. All-multiplicity one-loop corrections to MHV amplitudes in QCD. Phys. Rev. D 73 (2006) 061701. hep-ph/0509358
44. Berger C.F., Bern Z., Dixon L.J., Forde D., and Kosower D.A. Bootstrapping one-loop QCD amplitudes with general helicities. hep-ph/0604195
45. Berger C.F., Bern Z., Dixon L.J., Forde D., and Kosower D.A. All one-loop maximally helicity violating gluonic amplitudes in QCD. hep-ph/0607014
46. Xiao Z.-G., Yang G., and Zhu C.-J. The rational parts of one-loop QCD amplitudes III: The 6-gluon case. hep-ph/0607017
47. Berends A., and Giele W.T. Recursive calculations for processes with N gluons. Nucl. Phys. B 306 (1988) 759
48. - in the Weinberg modes. Nucl. Phys. B 160 (1979) 151-207
49. Melrose D.B. Reduction of Feynman diagrams. Nuovo Cimento 40 (1965) 181
50. van Neerven W.L., and Vermaseren J.A.M. Large loop integrals. Phys. Lett. B 137 (1984) 241
51. Bern Z., Dixon L., and Kosower D.A. Dimensionally regulated one-loop integrals. Phys. Lett. B 302 (1993) 299-308. hep-ph/9212308
52. Bern Z., Dixon L., and Kosower D.A. Phys. Lett. B 318 (1993) 649 Erratum
53. Bern Z., Dixon L., and Kosower D.A. Dimensionally regulated pentagon integrals. Nucl. Phys. B 412 (1994) 751-816. hep-ph/9306240
54. Binoth T., Guillet J.Ph., and Heinrich G. Reduction formalism for dimensionally regulated one-loop N-point integrals. Nucl. Phys. B 572 (2000) 361-386. hep-ph/9911342
55. Tarasov O.V. Connection between Feynman integrals having different values of the space-time dimension. Phys. Rev. D 54 (1996) 6479. hep-th/9606018
56. Fleischer J., Jegerlehner F., and Tarasov O.V. Algebraic reduction of one-loop Feynman graph amplitudes. Nucl. Phys. B 566 (2000) 423. hep-ph/9907327
57. Duplancic G., and Nizic B. Reduction method for dimensionally regulated one-loop N-point Feynman integrals. Eur. Phys. J. C 35 (2004) 105. hep-ph/0303184
58. Denner A., and Dittmaier S. Reduction of one-loop tensor 5-point integrals. Nucl. Phys. B 658 (2003) 175. hep-ph/0212259
59. Denner A., and Dittmaier S. Reduction schemes for one-loop tensor integrals. Nucl. Phys. B 734 (2006) 62. hep-ph/0509141 and the references therein
60. Xu Z., Zhang D.-H., and Chang L. Helicity amplitudes for multiple bremsstrahlung in massless non-Abelian theories. Nucl. Phys. B 291 (1987) 392
61. Dixon L.J. Calculating scattering amplitudes efficiently. hep-ph/9601359