Antenna subtraction for gluon scattering at NNLO

Journal of High Energy Physics

Volumn 2010, Issue 6, 2010, Pages

  Glover, E W Nigel ^a   Pires, Joao ^a  

^a DURHAM UNIVERSITY   (United Kingdom)

Author keywords

Jets; NLO computations; QCD

Indexed keywords

EID: 77954989331     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP06(2010)096     Document Type: Article

References (112)

1. E. W. N. Glover, Progress in NNLO calculations for scattering processes, Nucl. Phys. Proc. Suppl. 116 (2003) 3 [hep-ph/0211412].
2. S. Catani and M. H. Seymour, A general algorithm for calculating jet cross sections in NLO QCD, Nucl. Phys. B 485 (1997) 291 [hep-ph/9605323].
3. S. Frixione, Z. Kunszt and A. Signer, Three jet cross-sections to next-to-leading order, Nucl. Phys. B 467 (1996) 399 [hep-ph/9512328].
4. Z. Nagy and Z. Trócsányi, Calculation of QCD jet cross sections at next-to-leading order, Nucl. Phys. B 486 (1997) 189 [hep-ph/9610498].
5. S. Frixione, A General approach to jet cross-sections in QCD, Nucl. Phys. B 507 (1997) 295 [hep-ph/9706545].
6. G. Somogyi and Z. Trócsányi, A new subtraction scheme for computing QCD jet cross sections at next-to-leading order accuracy, hep-ph/0609041.
7. T. Gleisberg and F. Krauss, Automating dipole subtraction for QCD NLO calculations, Eur. Phys. J. C 53 (2008) 501 [arXiv:0709.2881].
8. M. H. Seymour and C. Tevlin, TeVJet: a general framework for the calculation of jet observables in NLO QCD, arXiv:0803.2231.
9. K. Hasegawa, S. Moch and P. Uwer, Automating dipole subtraction, Nucl. Phys. Proc. Suppl. 183 (2008) 268 [arXiv:0807.3701].
10. K. Hasegawa, S. Moch and P. Uwer, AutoDipole - Automated generation of dipole subtraction terms, arXiv:0911.4371.
11. R. Frederix, T. Gehrmann and N. Greiner, Automation of the dipole subtraction method in MadGraph/MadEvent, JHEP 09 (2008) 122 [arXiv:0808.2128].
12. M. Czakon, C. G. Papadopoulos and M. Worek, Polarizing the dipoles, JHEP 08 (2009) 085 [arXiv:0905.0883].
13. R. Frederix, S. Frixione, F. Maltoni and T. Stelzer, Automation of next-to-leading order computations in QCD: the FKS subtraction, JHEP 10 (2009) 003 [arXiv:0908.4272].
14. 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].
15. W. T. Giele and G. Zanderighi, On the numerical evaluation of one-loop amplitudes: the gluonic case, JHEP 06 (2008) 038 [arXiv:0805.2152].
16. 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].
17. T. Binoth, J. P. Guillet, G. Heinrich, E. Pilon and T. Reiter, Golem95: a numerical program to calculate one-loop tensor integrals with up to six external legs, Comput. Phys. Commun. 180 (2009) 2317 [arXiv:0810.0992].
18. E. W. N. Glover, C. Oleari and M. E. Tejeda-Yeomans, Two-loop QCD corrections to gluon-gluon scattering, Nucl. Phys. B 605 (2001) 467 [hep-ph/0102201].
19. Z. Bern, A. De Freitas and L. J. Dixon, Two-loop helicity amplitudes for gluon gluon scattering in QCD and supersymmetric Yang-Mills theory, JHEP 03 (2002) 018 [hep-ph/0201161].
20. E. W. N. Glover and M. E. Tejeda-Yeomans, One-loop QCD corrections to gluon-gluon scattering at NNLO, JHEP 05 (2001) 010 [hep-ph/0104178].
21. C. Anastasiou, E. W. N. Glover, C. Oleari and M. E. Tejeda-Yeomans, Two-loop QCD corrections to the scattering of massless distinct quarks, Nucl. Phys. B 601 (2001) 318 [hep-ph/0010212].
22. C. Anastasiou, E. W. N. Glover, C. Oleari and M. E. Tejeda-Yeomans, Two-loop QCD corrections to massless identical quark scattering, Nucl. Phys. B 601 (2001) 341 [hep-ph/0011094].
23. C. Anastasiou, E. W. N. Glover, C. Oleari and M. E. Tejeda-Yeomans, Two-loop QCD corrections to massless quark-gluon scattering, Nucl. Phys. B 605 (2001) 486 [hep-ph/0101304].
24. Z. Bern, A. De Freitas and L. J. Dixon, Two-loop helicity amplitudes for quark gluon scattering in QCD and gluino gluon scattering in supersymmetric Yang-Mills theory, JHEP 06 (2003) 028 [hep-ph/0304168].
25. A. De Freitas and Z. Bern, Two-loop helicity amplitudes for quark-quark scattering in QCD and gluino gluino scattering in supersymmetric Yang-Mills theory, JHEP 09 (2004) 039 [hep-ph/0409007].
26. S. Catani, The singular behaviour of QCD amplitudes at two-loop order, Phys. Lett. B 427 (1998) 161 [hep-ph/9802439].
27. Z. Bern, L. J. Dixon and D. A. Kosower, One loop corrections to five gluon amplitudes, Phys. Rev. Lett. 70 (1993) 2677 [hep-ph/9302280].
28. Z. Bern, V. Del Duca and C. R. Schmidt, The infrared behavior of one-loop gluon amplitudes at next-to-next-to-leading order, Phys. Lett. B 445 (1998) 168 [hep-ph/9810409].
29. Z. Bern, V. Del Duca, W. B. Kilgore and C. R. Schmidt, The infrared behavior of one-loop QCD amplitudes at next-to-next-to-leading order, Phys. Rev. D 60 (1999) 116001 [hep-ph/9903516].
30. S. Catani and M. Grazzini, The soft-gluon current at one-loop order, Nucl. Phys. B 591 (2000) 435 [hep-ph/0007142].
31. F. A. Berends and W. Giele, The six gluon process as an example of Weyl-Van der Waerden spinor calculus, Nucl. Phys. B 294 (1987) 700.
32. M. L. Mangano, S. J. Parke and Z. Xu, Duality and multi-gluon scattering, Nucl. Phys. B 298 (1988) 653.
33. M. L. Mangano and S. J. Parke, Multi-parton amplitudes in gauge theories, Phys. Rept. 200 (1991) 301 [hep-th/0509223].
34. - annihilation, Nucl. Phys. B 517 (1998) 269 [hep-ph/9707224].
35. J. M. Campbell and E. W. N. Glover, Double unresolved approximations to multiparton scattering amplitudes, Nucl. Phys. B 527 (1998) 264 [hep-ph/9710255].
36. S. Catani and M. Grazzini, Collinear factorization and splitting functions for next-to-next-to-leading order QCD calculations, Phys. Lett. B 446 (1999) 143 [hep-ph/9810389].
37. S. Catani and M. Grazzini, Infrared factorization of tree level QCD amplitudes at the next-to-next-to-leading order and beyond, Nucl. Phys. B 570 (2000) 287 [hep-ph/9908523].
38. A. Gehrmann-De Ridder, T. Gehrmann and E. W. N. Glover, Antenna subtraction at NNLO, JHEP 09 (2005) 056 [hep-ph/0505111].
39. S. Weinzierl, Subtraction terms at NNLO, JHEP 03 (2003) 062 [hep-ph/0302180].
40. S. Frixione and M. Grazzini, Subtraction at NNLO, JHEP 06 (2005) 010 [hep-ph/0411399].
41. G. Somogyi, Z. Trócsányi and V. Del Duca, Matching of singly-and doubly-unresolved limits of tree-level QCD squared matrix elements, JHEP 06 (2005) 024 [hep-ph/0502226].
42. G. Somogyi, Z. Trócsányi and V. Del Duca, A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of doubly-real emissions, JHEP 01 (2007) 070 [hep-ph/0609042].
43. G. Somogyi and Z. Trócsányi, A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of real-virtual emission, JHEP 01 (2007) 052 [hep-ph/0609043].
44. G. Somogyi and Z. Trócsányi, A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the subtraction terms I, JHEP 08 (2008) 042 [arXiv:0807.0509].
45. U. Aglietti, V. Del Duca, C. Duhr, G. Somogyi and Z. Trócsá nyi, Analytic integration of real-virtual counterterms in NNLO jet cross sections I, JHEP 09 (2008) 107 [arXiv:0807.0514].
46. G. Somogyi, Subtraction with hadronic initial states: an NNLO-compatible scheme, JHEP 05 (2009) 016 [arXiv:0903.1218].
47. P. Bolzoni, S.-O. Moch, G. Somogyi and Z. Trócsányi, Analytic integration of real-virtual counterterms in NNLO jet cross sections II, JHEP 08 (2009) 079 [arXiv:0905.4390].
48. S. Catani and M. Grazzini, An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC, Phys. Rev. Lett. 98 (2007) 222002 [hep-ph/0703012].
49. M. Grazzini, NNLO predictions for the Higgs boson signal in the H → WW lvlv and → l→ZZ → and 41 decay channels, JHEP 02 (2008) 043 [arXiv:0801.3232].
50. S. Catani, L. Cieri, G. Ferrera, D. de Florian and M. Grazzini, Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO, Phys. Rev. Lett. 103 (2009) 082001 [arXiv:0903.2120].
51. S. Catani, G. Ferrera and M. Grazzini, W boson production at hadron colliders: the lepton charge asymmetry in NNLO QCD, JHEP 05 (2010) 006 [arXiv:1002.3115].
52. T. Binoth and G. Heinrich, An automatized algorithm to compute infrared divergent multi-loop integrals, Nucl. Phys. B 585 (2000) 741 [hep-ph/0004013].
53. T. Binoth and G. Heinrich, Numerical evaluation of multi-loop integrals by sector decomposition, Nucl. Phys. B 680 (2004) 375 [hep-ph/0305234].
54. G. Heinrich, Sector decomposition, Int. J. Mod. Phys. A 23 (2008) 1457 [arXiv:0803.4177].
55. G. Heinrich, A numerical method for NNLO calculations, Nucl. Phys. Proc. Suppl. 116 (2003) 368 [hep-ph/0211144].
56. C. Anastasiou, K. Melnikov and F. Petriello, A new method for real radiation at NNLO, Phys. Rev. D 69 (2004) 076010 [hep-ph/0311311].
57. T. Binoth and G. Heinrich, Numerical evaluation of phase space integrals by sector decomposition, Nucl. Phys. B 693 (2004) 134 [hep-ph/0402265].
58. G. Heinrich, The sector decomposition approach to real radiation at NNLO, Nucl. Phys. Proc. Suppl. 157 (2006) 43 [hep-ph/0601232].
59. s), Phys. Rev. Lett. 93 (2004) 032002 [hep-ph/0402280].
60. C. Anastasiou, K. Melnikov and F. Petriello, Higgs boson production at hadron colliders: differential cross sections through next-to-next-to-leading order, Phys. Rev. Lett. 93 (2004) 262002 [hep-ph/0409088].
61. C. Anastasiou, K. Melnikov and F. Petriello, Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order, Nucl. Phys. B 724 (2005) 197 [hep-ph/0501130].
62. s), Phys. Rev. Lett. 96 (2006) 231803 [hep-ph/0603182].
63. - →3 jets at NNLO, JHEP 11 (2007) 058 [arXiv:0710.0346].
64. s) in QCD, Phys. Rev. Lett. 100 (2008) 172001 [arXiv:0802.0813].
65. S. Weinzierl, NNLO corrections to 3-jet observables in electron-positron annihilation, Phys. Rev. Lett. 101 (2008) 162001 [arXiv:0807.3241].
66. - →3 jets at NNLO reloaded, JHEP 07 (2009) 009 [arXiv:0904.1145].
67. A. Gehrmann-De Ridder, T. Gehrmann, E. W. N. Glover and G. Heinrich, Second-order QCD corrections to the thrust distribution, Phys. Rev. Lett. 99 (2007) 132002 [arXiv:0707.1285].
68. - annihilation, JHEP 12 (2007) 094 [arXiv:0711.4711].
69. - annihilation, JHEP 05 (2009) 106 [arXiv:0903.4658].
70. S. Weinzierl, Event shapes and jet rates in electron-positron annihilation at NNLO, JHEP 06 (2009) 041 [arXiv:0904.1077].
71. S. Weinzierl, Moments of event shapes in electron-positron annihilation at NNLO, Phys. Rev. D 80 (2009) 094018 [arXiv:0909.5056].
72. - annihilations, JHEP 02 (2008) 040 [arXiv:0712.0327].
73. - annihilations, JHEP 08 (2009) 036 [arXiv:0906.3436].
74. G. Dissertori et al., Precise determination of the strong coupling constant at NNLO in QCD from the three-jet rate in electron-positron annihilation at LEP, Phys. Rev. Lett. 104 (2010) 072002 [arXiv:0910.4283].
75. JADE collaboration, S. Bethke, S. Kluth, C. Pahl and J. Schieck, Determination of the strong coupling as from hadronic event shapes and NNLO QCD predictions using JADE data, Eur. Phys. J. C 64 (2009) 351 [arXiv:0810.1389].
76. T. Gehrmann, M. Jaquier and G. Luisoni, Hadronization effects in event shape moments, Eur. Phys. J. C 67 (2010) 57 [arXiv:0911.2422].
77. A. Daleo, A. Gehrmann-De Ridder, T. Gehrmann and G. Luisoni, Antenna subtraction at NNLO with hadronic initial states: initial-final configurations, JHEP 01 (2010) 118 [arXiv:0912.0374].
78. A. Daleo, A. Gehrmann-De Ridder, T. Gehrmann and G. Luisoni, NNLO antenna subtraction with one hadronic initial state, arXiv:1001.2397.
79. R. Boughezal, A. G.-D. Ridder and M. Ritzmann, NNLO antenna subtraction with two hadronic initial states, arXiv:1001.2396.
80. D. Kosower, B.-H. Lee and V. P. Nair, Multi gluon scattering: a string based calculation, Phys. Lett. B 201 (1988) 85.
81. F. A. Berends and W. T. Giele, Multiple soft gluon radiation in parton processes, Nucl. Phys. B 313 (1989) 595.
82. V. Del Duca, A. Frizzo and F. Maltoni, Factorization of tree QCD amplitudes in the high-energy limit and in the collinear limit, Nucl. Phys. B 568 (2000) 211 [hep-ph/9909464].
83. T. G. Birthwright, E. W. N. Glover, V. V. Khoze and P. Marquard, Multi-gluon collinear limits from MHV diagrams, JHEP 05 (2005) 013 [hep-ph/0503063].
84. T. G. Birthwright, E. W. N. Glover, V. V. Khoze and P. Marquard, Collinear limits in QCD from MHV rules, JHEP 07 (2005) 068 [hep-ph/0505219].
85. 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].
86. D. A. Kosower, All-order collinear behavior in gauge theories, Nucl. Phys. B 552 (1999) 319 [hep-ph/9901201].
87. D. A. Kosower and P. Uwer, One-loop splitting amplitudes in gauge theory, Nucl. Phys. B 563 (1999) 477 [hep-ph/9903515].
88. S. Catani, D. de Florian and G. Rodrigo, The triple collinear limit of one-loop QCD amplitudes, Phys. Lett. B 586 (2004) 323 [hep-ph/0312067].
89. D. A. Kosower, All-orders singular emission in gauge theories, Phys. Rev. Lett. 91 (2003) 061602 [hep-ph/0301069].
90. S. Weinzierl, Subtraction terms for one-loop amplitudes with one unresolved parton, JHEP 07 (2003) 052 [hep-ph/0306248].
91. Z. Bern, L. J. Dixon and D. A. Kosower, Two-loop g → gg splitting amplitudes in QCD, JHEP 08 (2004) 012 [hep-ph/0404293].
92. S. D. Badger and E. W. N. Glover, Two-loop splitting functions in QCD, JHEP 07 (2004) 040 [hep-ph/0405236].
93. J. M. Campbell, M. A. Cullen and E. W. N. Glover, Four jet event shapes in electron positron annihilation, Eur. Phys. J. C 9 (1999) 245 [hep-ph/9809429].
94. A. Daleo, T. Gehrmann and D. Matre, Antenna subtraction with hadronic initial states, JHEP 04 (2007) 016 [hep-ph/0612257].
95. A. Gehrmann-De Ridder and M. Ritzmann, NLO antenna subtraction with massive fermions, JHEP 07 (2009) 041 [arXiv:0904.3297].
96. - → 2 jets at NNLO, Nucl. Phys. B 691 (2004) 195 [hep-ph/0403057].
97. A. Gehrmann-De Ridder, T. Gehrmann and E. W. N. Glover, Quark-gluon antenna functions from neutralino decay, Phys. Lett. B 612 (2005) 36 [hep-ph/0501291].
98. A. Gehrmann-De Ridder, T. Gehrmann and E. W. N. Glover, Gluon-gluon antenna functions from Higgs boson decay, Phys. Lett. B 612 (2005) 49 [hep-ph/0502110].
99. D. A. Kosower, Antenna factorization of gauge-theory amplitudes, Phys. Rev. D 57 (1998) 5410 [hep-ph/9710213].
100. D. A. Kosower, Antenna factorization in strongly-ordered limits, Phys. Rev. D 71 (2005) 045016 [hep-ph/0311272].
101. s: gluons only, Phys. Rev. Lett. 62 (1989) 726.
102. s quarks and gluons, Phys. Rev. Lett. 64 (1990) 2121.
103. s in QCD, Phys. Rev. Lett. 69 (1992) 1496.
104. W. T. Giele, E. W. N. Glover and D. A. Kosower, Higher order corrections to jet cross-sections in hadron colliders, Nucl. Phys. B 403 (1993) 633 [hep-ph/9302225].
105. s) in hadron collisions, Phys. Rev. Lett. 73 (1994) 2019 [hep-ph/9403347].
106. R. Kleiss, W. J. Stirling and S. D. Ellis, A new Monte Carlo treatment of multiparticle phase space at high-energies, Comput. Phys. Commun. 40 (1986) 359.
107. Z. Bern and D. A. Kosower, The computation of loop amplitudes in gauge theories, Nucl. Phys. B 379 (1992) 451.
108. D. A. Kosower, Multiple singular emission in gauge theories, Phys. Rev. D 67 (2003) 116003 [hep-ph/0212097].
109. W. B. Kilgore, Subtraction terms for hadronic production processes at next-to-next-to-leading order, Phys. Rev. D 70 (2004) 031501 [hep-ph/0403128].
110. A. Gehrmann-De Ridder, T. Gehrmann and G. Heinrich, Four-particle phase space integrals in massless QCD, Nucl. Phys. B 682 (2004) 265 [hep-ph/0311276].
111. G. Altarelli and G. Parisi, Asymptotic freedom in parton language, Nucl. Phys. B 126 (1977) 298.
112. S. Weinzierl, Status of jet cross sections to NNLO, Nucl. Phys. Proc. Suppl. 160 (2006) 126 [hep-ph/0606301].