One-loop Higgs plus four gluon amplitudes: Full analytic results

Journal of High Energy Physics

Volumn 2010, Issue 1, 2010, Pages

  Badger, Simon ^a   Glover, E W Nigel ^b   Mastroliac, Pierpaolo ^c   Williamsb, Ciaran ^b  

^a DESY   (Germany)

^b DURHAM UNIVERSITY   (United Kingdom)

^c CERN   (Switzerland)

Author keywords

Higgs physics; Jets; NLO computations; QCD

Indexed keywords

EID: 77955001609     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/jhep01(2010)036     Document Type: Article

References (62)

1. T. Han, G. Valencia and S. Willenbrock, Structure function approach to vector boson scattering in p p collisions, Phys. Rev. Lett. 69 (1992) 3274 [hep-ph/9206246].
2. T. Figy, C. Oleari and D. Zeppenfeld, Next-to-leading order jet distributions for Higgs boson production via weak-boson fusion, Phys. Rev. D 68 (2003) 073005 [hep-ph/0306109].
3. T. Figy and D. Zeppenfeld, QCD corrections to jet correlations in weak boson fusion, Phys. Lett. B 591 (2004) 297 [hep-ph/0403297].
4. E. L. Berger and J. M. Campbell, Higgs boson production in weak boson fusion at next-to-leading order, Phys. Rev. D 70 (2004) 073011 [hep-ph/0403194].
5. M. Ciccolini, A. Denner and S. Dittmaier, Strong and electroweak corrections to the production of Higgs+2jets via weak interactions at the LHC, Phys. Rev. Lett. 99 (2007) 161803 [arXiv:0707.0381].
6. M. Ciccolini, A. Denner and S. Dittmaier, Electroweak and QCD corrections to Higgs production via vector-boson fusion at the LHC, Phys. Rev. D 77 (2008) 013002 [arXiv:0710.4749].
7. V. Del Duca, W. Kilgore, C. Oleari, C. Schmidt and D. Zeppenfeld, H + 2 jets via gluon fusion, Phys. Rev. Lett. 87 (2001) 122001 [hep-ph/0105129].
8. S. Dawson and R. P. Kauffman, Higgs boson plus multi - jet rates at the SSC, Phys. Rev. Lett. 68 (1992) 2273.
9. R. P. Kauffman, S. V. Desai and D. Risal, Production of a Higgs boson plus two jets in hadronic collisions, Phys. Rev. D 55 (1997) 4005 [hep-ph/9610541].
10. F. Wilczek, Decays of Heavy Vector Mesons Into Higgs Particles, Phys. Rev. Lett. 39 (1977) 1304.
11. A. Djouadi, M. Spira and P. M. Zerwas, Production of Higgs bosons in proton colliders: QCD corrections, Phys. Lett. B 264 (1991) 440.
12. S. Dawson, Radiative corrections to Higgs boson production, Nucl. Phys. B 359 (1991) 283.
13. M. Krämer, 1, E. Laenen and M. Spira, Soft gluon radiation in Higgs boson production at the LHC, Nucl. Phys. B 511 (1998) 523 [hep-ph/9611272].
14. V. Del Duca, W. Kilgore, C. Oleari, C. R. Schmidt and D. Zeppenfeld, Kinematical limits on Higgs boson production via gluon fusion in association with jets, Phys. Rev. D 67 (2003) 073003 [hep-ph/0301013].
15. J. M. Campbell, R. K. Ellis and G. Zanderighi, Next-to-leading order Higgs + 2 jet production via gluon fusion, JHEP 10 (2006) 028 [hep-ph/0608194].
16. V. Del Duca, A. Frizzo and F. Maltoni, Higgs boson production in association with three jets, JHEP 05 (2004) 064 [hep-ph/0404013].
17. S. D. Badger, E. W. N. Glover and V. V. Khoze, MHV rules for Higgs plus multi-parton amplitudes, JHEP 03 (2005) 023 [hep-th/0412275].
18. L. J. Dixon, E. W. N. Glover and V. V. Khoze, MHV rules for Higgs plus multi-gluon amplitudes, JHEP 12 (2004) 015 [hep-th/0411092].
19. R. K. Ellis, W. T. Giele and G. Zanderighi, Virtual QCD corrections to Higgs boson plus four parton processes, Phys. Rev. D 72 (2005) 054018 [hep-ph/0506196].
20. Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits, Nucl. Phys. B 425 (1994) 217 [hep-ph/9403226].
21. Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes, Nucl. Phys. B 435 (1995) 59 [hep-ph/9409265].
22. Z. Bern and A. G. Morgan, Massive Loop Amplitudes from Unitarity, Nucl. Phys. B 467 (1996) 479 [hep-ph/9511336].
23. Z. Bern, L. J. Dixon and D. A. Kosower, On-shell recurrence relations for one-loop QCD amplitudes, Phys. Rev. D 71 (2005) 105013 [hep-th/0501240].
24. T. Binoth, J. P. Guillet and G. Heinrich, Algebraic evaluation of rational polynomials in one-loop amplitudes, JHEP 02 (2007) 013 [hep-ph/0609054].
25. Z. Xiao, G. Yang and C.-J. Zhu, The rational part of QCD amplitude. I: The general formalism, Nucl. Phys. B 758 (2006) 1 [hep-ph/0607015].
26. X. Su, Z. Xiao, G. Yang and C.-J. Zhu, The rational part of QCD amplitude. II: The five-gluon, Nucl. Phys. B 758 (2006) 35 [hep-ph/0607016].
27. Z. Xiao, G. Yang and C.-J. Zhu, The rational parts of one-loop QCD amplitudes III: The six-gluon case, Nucl. Phys. B 758 (2006) 53 [hep-ph/0607017].
28. R. Britto, F. Cachazo and B. Feng, Generalized unitarity and one-loop amplitudes in N = 4 super-Yang-Mills, Nucl. Phys. B 725 (2005) 275 [hep-th/0412103].
29. D. Forde, Direct extraction of one-loop integral coefficients, Phys. Rev. D 75 (2007) 125019 [arXiv:0704.1835].
30. P. Mastrolia, On triple-cut of scattering amplitudes, Phys. Lett. B 644 (2007) 272 [hep-th/0611091].
31. R. Britto, E. Buchbinder, F. Cachazo and B. Feng, One-loop amplitudes of gluons in SQCD, Phys. Rev. D 72 (2005) 065012 [hep-ph/0503132].
32. R. Britto, B. Feng and P. Mastrolia, The cut-constructible part of QCD amplitudes, Phys. Rev. D 73 (2006) 105004 [hep-ph/0602178].
33. N. E. J. Bjerrum-Bohr, D. C. Dunbar and W. B. Perkins, Analytic Structure of Three-Mass Triangle Coefficients, JHEP 04 (2008) 038 [arXiv:0709.2086].
34. E. W. Nigel Glover and C. Williams, One-Loop Gluonic Amplitudes from Single Unitarity Cuts, JHEP 12 (2008) 067 [arXiv:0810.2964].
35. G. Ossola, C. G. Papadopoulos and R. Pittau, On the Rational Terms of the one-loop amplitudes, JHEP 05 (2008) 004 [arXiv:0802.1876].
36. Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, One-loop self-dual and N = 4 super Yang-Mills, Phys. Lett. B 394 (1997) 105 [hep-th/9611127].
37. 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, JHEP 03 (2007) 111 [hep-ph/0612277].
38. C. Anastasiou, R. Britto, B. Feng, Z. Kunszt and P. Mastrolia, D-dimensional unitarity cut method, Phys. Lett. B 645 (2007) 213 [hep-ph/0609191].
39. S. D. Badger, Direct Extraction Of One Loop Rational Terms, JHEP 01 (2009) 049 [arXiv:0806.4600].
40. R. Britto, F. Cachazo and B. Feng, New Recursion Relations for Tree Amplitudes of Gluons, Nucl. Phys. B 715 (2005) 499 [hep-th/0412308].
41. R. Britto, F. Cachazo, B. Feng and E. Witten, Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory, Phys. Rev. Lett. 94 (2005) 181602 [hep-th/0501052].
42. C. F. Berger, Z. Bern, L. J. Dixon, D. Forde and D. A. Kosower, Bootstrapping one-loop QCD amplitudes with general helicities, Phys. Rev. D 74 (2006) 036009 [hep-ph/0604195].
43. G. Ossola, C. G. Papadopoulos and R. Pittau, CutTools: a program implementing the OPP reduction method to compute one-loop amplitudes, JHEP 03 (2008) 042 [arXiv:0711.3596].
44. R. K. Ellis, W. T. Giele and Z. Kunszt, A Numerical Unitarity Formalism for One-Loop Amplitudes, PoS (RAD COR 2007) 020 [arXiv:0802.4227].
45. C. F. Berger et al., An Automated Implementation of On-Shell Methods for One-Loop Amplitudes, Phys. Rev. D 78 (2008) 036003 [arXiv:0803.4180].
46. C. F. Berger, V. Del Duca and L. J. Dixon, Recursive construction of Higgs+multiparton loop amplitudes: The last of the phi-nite loop amplitudes, Phys. Rev. D 74 (2006) 094021 [hep-ph/0608180].
47. S. D. Badger, E. W. N. Glover and K. Risager, One-loop phi-MHV amplitudes using the unitarity bootstrap, JHEP 07 (2007) 066 [arXiv:0704.3914].
48. E. W. N. Glover, P. Mastrolia and C. Williams, One-loop phi-MHV amplitudes using the unitarity bootstrap: the general helicity case, JHEP 08 (2008) 017 [arXiv:0804.4149].
49. S. D. Badger and E. W. N. Glover, One-loop helicity amplitudes for H [2192] gluons: the all-minus configuration, Nucl. Phys. Proc. Suppl. 160 (2006) 71 [hep-ph/0607139].
50. L. J. Dixon and Y. Sofianatos, Analytic one-loop amplitudes for a Higgs boson plus four partons, JHEP 08 (2009) 058 [arXiv:0906.0008].
51. S. Badger, J. M. Campbell, R. K. Ellis and C. Williams, Analytic results for the one-loop NMHV Hqqgg amplitude, JHEP 12 (2009) 035 [arXiv:0910.4481].
52. P. Mastrolia, Double-Cut of Scattering Amplitudes and Stokes' Theorem, Phys. Lett. B 678 (2009) 246 [arXiv:0905.2909].
53. D. Maître and P. Mastrolia, S@M, a Mathematica Implementation of the Spinor-Helicity Formalism, Comput. Phys. Commun. 179 (2008) 501 [arXiv:0710.5559].
54. K. G. Chetyrkin, B. A. Kniehl and M. Steinhauser, Decoupling relations to O ([03b1]3s) and their connection to low-energy theorems, Nucl. Phys. B 510 (1998) 61 [hep-ph/9708255].
55. T. Inami, T. Kubota and Y. Okada, Effective gauge theory and the effect of heavy quarks in Higgs boson decays, Z. Phys. C 18 (1983) 69.
56. G. Ossola, C. G. Papadopoulos and R. Pittau, Reducing full one-loop amplitudes to scalar integrals at the integrand level, Nucl. Phys. B 763 (2007) 147 [hep-ph/0609007].
57. P. Nogueira, Automatic Feynman graph generation, J. Comput. Phys. 105 (1993) 279.
58. Z. Bern, L. J. Dixon and D. A. Kosower, Dimensionally regulated pentagon integrals, Nucl. Phys. B 412 (1994) 751 [hep-ph/9306240].
59. H. J. Lu and C. A. Perez, Massless one loop scalar three point integral and associated Clausen, Glaisher and L functions, SLAC-PUB-5809.
60. T. Binoth, J. P. Guillet, G. Heinrich and C. Schubert, Calculation of 1-loop hexagon amplitudes in the Yukawa model, Nucl. Phys. B 615 (2001) 385 [hep-ph/0106243].
61. A. van Hameren, J. Vollinga and S. Weinzierl, Automated computation of one-loop integrals in massless theories, Eur. Phys. J. C 41 (2005) 361 [hep-ph/0502165].
62. R. K. Ellis and G. Zanderighi, Scalar one-loop integrals for QCD, JHEP 02 (2008) 002 [arXiv:0712.1851].