On the rational terms of the one-loop amplitudes

Journal of High Energy Physics

Volumn 2008, Issue 5, 2008, Pages

  Ossola, Giovanni ^a   Papadopoulos, Costas G ^a   Pittau, Roberto ^b,c  

^a INSTITUTE OF NUCLEAR PHYSICS   (Greece)

^b UNIVERSITY OF GRANADA   (Spain)

^c UNIVERSITY OF TURIN   (Italy)

Author keywords

Hadronic colliders; NLO computations; QCD; Standard model

Indexed keywords

EID: 47249115748     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/05/004     Document Type: Article

References (49)

1. R.K. Ellis, W.T. Giele and G. Zanderighi, The one-loop amplitude for six-gluon scattering 2006 J. High Energy Phys. JHEP05(2006)027 [hep-ph/0602185]
2. R. Britto, B. Feng and P. Mastrolia, The cut-constructible part of QCD amplitudes 2006 Phys. Rev. D 73 105004 [hep-ph/0602178]
3. C.F. Berger, Z. Bern, L.J. Dixon, D. Forde and D.A. Kosower, Bootstrapping one-loop QCD amplitudes with general helicities 2006 Phys. Rev. D 74 036009 [hep-ph/0604195]
4. 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]
5. T. Binoth, J.P. Guillet, G. Heinrich, E. Pilon and C. Schubert, An algebraic/numerical formalism for one-loop multi-leg amplitudes 2005 J. High Energy Phys. JHEP10(2005)015 [hep-ph/0504267]
6. 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]
7. G. Bélanger et al., Full O(α) electroweak corrections to double Higgs- strahlung at the linear collider 2003 Phys. Lett. B 576 152 [hep-ph/0309010]
8. - colliders 2004 Nucl. Phys. B 680 85 [hep-ph/0309274]
9. - 4 fermion processes: technical details and further results 2005 Nucl. Phys. B 724 247 [hep-ph/0505042]
10. - 4 fermion processes 2005 Phys. Lett. B 612 223 [hep-ph/0502063]
11. K. Kato et al., Radiative corrections for Higgs study at the ILC 2005 PoS(HEP2005)312
12. T. Binoth, G. Heinrich, T. Gehrmann and P. Mastrolia, Six-photon amplitudes 2007 Phys. Lett. B 649 422 [hep-ph/0703311]
13. S. Weinzierl, Automated calculations for multi-leg processes [0707.3342]
14. D. Matre and P. Mastrolia, S@M, a Mathematica implementation of the Spinor-Helicity formalism [0710.5559]
15. Z. Nagy and D.E. Soper, Numerical integration of one-loop Feynman diagrams for N- photon amplitudes 2006 Phys. Rev. D 74 093006 [hep-ph/0610028]
16. A. Ferroglia, M. Passera, G. Passarino and S. Uccirati, All-purpose numerical evaluation of one-loop multi-leg Feynman diagrams 2003 Nucl. Phys. B 650 162 [hep-ph/0209219]
17. R. Pittau, A simple method for multi-leg loop calculations 1997 Comput. Phys. Commun. 104 23 [hep-ph/9607309]
18. R. Pittau, A simple method for multi-leg loop calculations. II: a general algorithm 1998 Comput. Phys. Commun. 111 48 [hep-ph/9712418]
19. 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]
20. 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
21. Z. Bern, L.J. Dixon and D.A. Kosower, On-shell methods in perturbative QCD 2007 Ann. Phys. (NY) 322 1587 [0704.2798]
22. 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]
23. E. Witten, Perturbative gauge theory as a string theory in twistor space 2004 Comm. Math. Phys. 252 189 [hep-th/0312171]
24. 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]
25. 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]
26. 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]
27. I. Bena, Z. Bern, D.A. Kosower and R. Roiban, Loops in twistor space 2005 Phys. Rev. D 71 106010 [hep-th/0410054]
28. R.K. Ellis, W.T. Giele and Z. Kunszt, A numerical unitarity formalism for evaluating one-loop amplitudes 2008 J. High Energy Phys. JHEP03(2008)003 [0708.2398]
29. C. Anastasiou, R. Britto, B. Feng, Z. Kunszt and P. Mastrolia, Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes 2007 J. High Energy Phys. JHEP03(2007)111 [hep-ph/0612277]
30. C. Anastasiou, R. Britto, B. Feng, Z. Kunszt and P. Mastrolia, D-dimensional unitarity cut method 2007 Phys. Lett. B 645 213 [hep-ph/0609191]
31. D. Forde, Direct extraction of one-loop integral coefficients 2007 Phys. Rev. D 75 125019 [0704.1835]
32. W.B. Kilgore, One-loop integral coefficients from generalized unitarity [0711.5015]
33. N.E.J. Bjerrum-Bohr, D.C. Dunbar and W.B. Perkins, Analytic structure of three-mass triangle coefficients 2008 J. High Energy Phys. JHEP04(2008)038 [0709.2086]
34. T. Binoth, J.P. Guillet and G. Heinrich, Algebraic evaluation of rational polynomials in one-loop amplitudes 2007 J. High Energy Phys. JHEP02(2007)013 [hep-ph/0609054]
35. Z. Xiao, G. Yang and C.-J. Zhu, The rational part of QCD amplitude. I: the general formalism 2006 Nucl. Phys. B 758 1 [hep-ph/0607015]
36. X. Su, Z. Xiao, G. Yang and C.-J. Zhu, The rational part of QCD amplitude. II: the five-gluon 2006 Nucl. Phys. B 758 35 [hep-ph/0607016]
37. Z. Bern, L.J. Dixon and D.A. Kosower, Bootstrapping multi-parton loop amplitudes in QCD 2006 Phys. Rev. D 73 065013 [hep-ph/0507005]
38. S.D. Badger, E.W.N. Glover and K. Risager, One-loop phi-MHV amplitudes using the unitarity bootstrap 2007 J. High Energy Phys. JHEP07(2007)066 [0704.3914]
39. W.T. Giele, Z. Kunszt and K. Melnikov, Full one-loop amplitudes from tree amplitudes 2008 J. High Energy Phys. JHEP04(2008)049 [0801.2237]
40. R. Britto and B. Feng, Unitarity cuts with massive propagators and algebraic expressions for coefficients 2007 Phys. Rev. D 75 105006 [hep-ph/0612089]
41. R. Britto and B. Feng, Integral coefficients for one-loop amplitudes 2008 J. High Energy Phys. JHEP02(2008)095 [0711.4284]
42. G. Ossola, C.G. Papadopoulos and R. Pittau, Reducing full one-loop amplitudes to scalar integrals at the integrand level 2007 Nucl. Phys. B 763 147 [hep-ph/0609007]
43. G. Ossola, C.G. Papadopoulos and R. Pittau, Numerical evaluation of six-photon amplitudes 2007 J. High Energy Phys. JHEP07(2007)085 [0704.1271]
44. G. Ossola, C.G. Papadopoulos and R. Pittau, CutTools: a program implementing the OPP reduction method to compute one-loop amplitudes 2008 J. High Energy Phys. JHEP03(2008)042 [0711.3596]
45. F. del Aguila and R. Pittau, Recursive numerical calculus of one-loop tensor integrals 2004 J. High Energy Phys. JHEP07(2004)017 [hep-ph/0404120]
46. R. Pittau, Formulae for a numerical computation of one-loop tensor integrals [hep-ph/0406105]
47. W.L. van Neerven and J.A.M. Vermaseren, Large loop integrals 1984 Phys. Lett. B 137 241
48. A. Denner and S. Dittmaier, Reduction of one-loop tensor 5-point integrals 2003 Nucl. Phys. B 658 175 [hep-ph/0212259]
49. A. Denner and S. Dittmaier, Reduction schemes for one-loop tensor integrals 2006 Nucl. Phys. B 734 62 [hep-ph/0509141]