The infrared structure of e +e - → 3 jets at NNLO reloaded

Journal of High Energy Physics

Volumn 2009, Issue 7, 2009, Pages

  Weinzierl, Stefan ^a  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 71549163662     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/07/009     Document Type: Article

References (99)

1. - Annihilation, Phys. Rev. Lett. 45 1226
2. - Annihilation, Nucl. Phys. B 178 421
3. - Annihilation. Z. Phys. C 11 315
4. Z. Kunszt, P. Nason, G. Marchesini, and B.R. Webber, QCD at LEP in Z Physics at LEP 1, vol. 1, G. Altarelli, R. Kleiss and C. Verzegnassi eds., CERN Yellow Report 89-08 [ETH-PT-89-39]
5. - annihilation, Phys. Rev. D 46 1980
6. S. Catani and M.H. Seymour, 1996 The Dipole Formalism for the Calculation of QCD Jet Cross Sections at Next-to-Leading Order, Phys. Lett. B 378 287 [hep-ph/9602277]
7. C.M. Carloni-Calame, S. Moretti, F. Piccinini and D.A. Ross, 2009 Full One-loop Electro-Weak Corrections to Three-jet Observables at the Z pole and Beyond J. High Energy Phys. JHEP03(2009)047 [0804.3771]
8. F.A. Berends, W.T. Giele and H. Kuijf, 1989 Exact Expressions for Processes Involving a Vector Boson and Up to Five Partons, Nucl. Phys. B 321 39
9. -, e p and Hadron Colliders, Nucl. Phys. B 313 560
10. - annihilation, Nucl. Phys. B 328 317
11. G.A. Schuler, S. Sakakibara and J.G. Korner, 1987 Use of four-dimensional spin methods in the calculation of radiative QCD corrections, Phys. Lett. B 194 125
12. J.G. Korner and P. Sieben, 1991 Use of helicity methods in evaluating loop integrals: a QCD example, Nucl. Phys. B 363 65
13. - qQ, Nucl. Phys. B 489 3 [hep-ph/9610370]
14. - to four partons, Nucl. Phys. B 513 3 [hep-ph/9708239]
15. * qqg, Phys. Lett. B 409 503 [hep-ph/9706297]
16. * Qq, Phys. Lett. B 396 257 [hep-ph/9609474]
17. - 3 Jets, Nucl. Phys. B 627 107 [hep-ph/0112081]
18. - 3 Jets, Nucl. Phys. B 642 227 [hep-ph/0206067]
19. - qg, Phys. Rev. D 66 114001 [hep-ph/0207043]
20. T. Gehrmann and E. Remiddi, 2000 Differential equations for two-loop four-point functions, Nucl. Phys. B 580 485 [hep-ph/9912329]
21. * 3 jets: the planar topologies, Nucl. Phys. B 601 248 [hep-ph/0008287]
22. * 3 jets: the non-planar topologies, Nucl. Phys. B 601 287 [hep-ph/0101124]
23. S. Moch, P. Uwer and S. Weinzierl, 2002 Nested sums, expansion of transcendental functions and multi-scale multi-loop integrals, J. Math. Phys. 43 3363 [hep-ph/0110083]
24. T. Gehrmann and E. Remiddi, 2001 Numerical evaluation of harmonic polylogarithms, Comput. Phys. Commun. 141 296 [hep-ph/0107173]
25. T. Gehrmann and E. Remiddi, 2002 Numerical evaluation of two-dimensional harmonic polylogarithms, Comput. Phys. Commun. 144 200 [hep-ph/0111255]
26. J. Vollinga and S. Weinzierl, 2005 Numerical evaluation of multiple polylogarithms, Comput. Phys. Commun. 167 177 [hep-ph/0410259]
27. D.A. Kosower, 2003 Multiple singular emission in gauge theories, Phys. Rev. D 67 116003 [hep-ph/0212097]
28. D.A. Kosower, 2003 All-orders singular emission in gauge theories, Phys. Rev. Lett. 91 061602 [hep-ph/0301069]
29. S. Weinzierl, 2003 Subtraction terms at NNLO J. High Energy Phys. JHEP03(2003)062 [hep-ph/0302180]
30. S. Weinzierl, 2003 Subtraction terms for one-loop amplitudes with one unresolved parton J. High Energy Phys. JHEP07(2003)052 [hep-ph/0306248]
31. W.B. Kilgore, 2004 Subtraction terms for hadronic production processes at next-to-next-to-leading order, Phys. Rev. D 70 031501 [hep-ph/0403128]
32. S. Frixione and M. Grazzini, 2005 Subtraction at NNLO J. High Energy Phys. JHEP06(2005)010 [hep-ph/0411399]
33. A. Gehrmann-De Ridder, T. Gehrmann and G. Heinrich, 2004 Four-particle phase space integrals in massless QCD, Nucl. Phys. B 682 265 [hep-ph/0311276]
34. - 2 jets at NNLO, Nucl. Phys. B 691 195 [hep-ph/0403057]
35. A. Gehrmann-De Ridder, T. Gehrmann and E.W.N. Glover, 2005 Quark-Gluon Antenna Functions from Neutralino Decay, Phys. Lett. B 612 36 [hep-ph/0501291]
36. A. Gehrmann-De Ridder, T. Gehrmann and E.W.N. Glover, 2005 Gluon-Gluon Antenna Functions from Higgs Boson Decay, Phys. Lett. B 612 49 [hep-ph/0502110]
37. A. Gehrmann-De Ridder, T. Gehrmann and E.W.N. Glover, 2005 Antenna Subtraction at NNLO J. High Energy Phys. JHEP09(2005)056 [hep-ph/0505111]
38. - 3 jets at NNLO J. High Energy Phys. JHEP11(2007)058 [0710.0346]
39. G. Somogyi, Z. Trócsnyi and V. Del Duca, 2005 Matching of singly- and doubly-unresolved limits of tree-level QCD squared matrix elements J. High Energy Phys. JHEP06(2005)024 [hep-ph/0502226]
40. G. Somogyi, Z. Trócsnyi and V. Del Duca, 2007 A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of doubly-real emissions J. High Energy Phys. JHEP01(2007)070 [hep-ph/0609042]
41. G. Somogyi and Z. Trócsnyi, 2007 A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of real-virtual emission J. High Energy Phys. JHEP01(2007)052 [hep-ph/0609043]
42. S. Catani and M. Grazzini, 2007 An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC, Phys. Rev. Lett. 98 222002 [hep-ph/0703012]
43. G. Somogyi and Z. Trócsnyi, 2008 A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the subtraction terms I J. High Energy Phys. JHEP08(2008)042 [0807.0509]
44. U. Aglietti, V. Del Duca, C. Duhr, G. Somogyi and Z. Trócsnyi, 2008 Analytic integration of real-virtual counterterms in NNLO jet cross sections I J. High Energy Phys. JHEP09(2008)107 [0807.0514]
45. W.T. Giele, E.W.N. Glover and D.A. Kosower, 1993 Higher order corrections to jet cross-sections in hadron colliders, Nucl. Phys. B 403 633 [hep-ph/9302225]
46. S. Keller and E. Laenen, 1999 Next-to-leading order cross-sections for tagged reactions, Phys. Rev. D 59 114004 [hep-ph/9812415]
47. S. Frixione, Z. Kunszt and A. Signer, 1996 Three jet cross-sections to next-to-leading order, Nucl. Phys. B 467 399 [hep-ph/9512328]
48. S. Catani and M.H. Seymour, 1997 A general algorithm for calculating jet cross sections in NLO QCD, Nucl. Phys. B 485 291 [hep-ph/9605323]
49. S. Dittmaier, 2000 A general approach to photon radiation off fermions, Nucl. Phys. B 565 69 [hep-ph/9904440]
50. L. Phaf and S. Weinzierl, 2001 Dipole formalism with heavy fermions J. High Energy Phys. JHEP04(2001)006 [hep-ph/0102207]
51. S. Catani, S. Dittmaier, M.H. Seymour and Z. Trócsnyi, 2002 The dipole formalism for next-to-leading order QCD calculations with massive partons, Nucl. Phys. B 627 189 [hep-ph/0201036]
52. 2), Phys. Rev. Lett. 93 032002 [hep-ph/0402280]
53. S. Weinzierl, 2006 NNLO corrections to 2-jet observables in electron positron annihilation, Phys. Rev. D 74 014020 [hep-ph/0606008]
54. S. Weinzierl, 2007 The forward-backward asymmetry at NNLO revisited, Phys. Lett. B 644 331 [hep-ph/0609021]
55. C. Anastasiou and K. Melnikov, 2002 Higgs boson production at hadron colliders in NNLO QCD, Nucl. Phys. B 646 220 [hep-ph/0207004]
56. C. Anastasiou, L.J. Dixon, K. Melnikov and F. Petriello, 2003 Dilepton rapidity distribution in the Drell-Yan process at NNLO in QCD, Phys. Rev. Lett. 91 182002 [hep-ph/0306192]
57. C. Anastasiou, L.J. Dixon, K. Melnikov and F. Petriello, 2004 High precision QCD at hadron colliders: electroweak gauge boson rapidity distributions at NNLO, Phys. Rev. D 69 094008 [hep-ph/0312266]
58. C. Anastasiou, K. Melnikov and F. Petriello, 2004 Higgs boson production at hadron colliders: differential cross sections through next-to-next-to-leading order, Phys. Rev. Lett. 93 262002 [hep-ph/0409088]
59. C. Anastasiou, K. Melnikov and F. Petriello, 2005 Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order, Nucl. Phys. B 724 197 [hep-ph/0501130]
60. C. Anastasiou, G. Dissertori and F. Stockli, 2007 NNLO QCD predictions for the H WW ℓ ν ℓ ν signal at the LHC J. High Energy Phys. JHEP09(2007)018 [0707.2373]
61. s), Phys. Rev. Lett. 96 231803 [hep-ph/0603182]
62. 2) J. High Energy Phys. JHEP09(2007)014 [hep-ph/0505069]
63. S. Catani, D. de Florian and M. Grazzini, 2001 Higgs production in hadron collisions: soft and virtual QCD corrections at NNLO J. High Energy Phys. JHEP05(2001)025 [hep-ph/0102227]
64. S. Catani, D. de Florian and M. Grazzini, 2002 Direct Higgs production and jet veto at the Tevatron and the LHC in NNLO QCD J. High Energy Phys. JHEP01(2002)015 [hep-ph/0111164]
65. M. Grazzini, 2008 NNLO predictions for the Higgs boson signal in the H WW ℓνℓν and H ZZ 4ℓ decay channels J. High Energy Phys. JHEP02(2008)043 [0801.3232]
66. R.V. Harlander and W.B. Kilgore, 2001 Soft and virtual corrections to p p H + X at NNLO, Phys. Rev. D 64 013015 [hep-ph/0102241]
67. R.V. Harlander and W.B. Kilgore, 2002 Next-to-next-to-leading order Higgs production at hadron colliders, Phys. Rev. Lett. 88 201801 [hep-ph/0201206]
68. R.V. Harlander and W.B. Kilgore, 2003 Higgs boson production in bottom quark fusion at next-to-next-to-leading order, Phys. Rev. D 68 013001 [hep-ph/0304035]
69. - annihilation J. High Energy Phys. JHEP12(2007)094 [0711.4711]
70. G. Somogyi, Subtraction with hadronic initial states: an NNLO-compatible scheme, [0903.1218]
71. S. Weinzierl, 2008 NNLO corrections to 3-jet observables in electron-positron annihilation, Phys. Rev. Lett. 101 162001 [0807.3241]
72. - annihilation, Phys. Rev. D 60 054028 [hep-ph/9901277]
73. A. Gehrmann-De Ridder, T. Gehrmann, E.W.N. Glover and G. Heinrich, 2007 Second-order QCD corrections to the thrust distribution, Phys. Rev. Lett. 99 132002 [0707.1285]
74. 3) in QCD, Phys. Rev. Lett. 100 172001 [0802.0813]
75. - annihilation J. High Energy Phys. JHEP05(2009)106 [0903.4658]
76. S. Weinzierl, 2009 Event shapes and jet rates in electron-positron annihilation at NNLO J. High Energy Phys. JHEP06(2009)041 [0904.1077]
77. - (γ,Z) four jets, Phys. Rev. D 56 4031 [hep-ph/9706285]
78. J.J. van der Bij and E.W.N. Glover, 1989 Z boson production and decay via gluons, Nucl. Phys. B 313 237
79. Z. Nagy and Z. Trócsnyi, 1999 Next-to-leading order calculation of four-jet observables in electron positron annihilation, Phys. Rev. D 59 014020 [hep-ph/9806317]
80. S. Weinzierl, 2006 Automated computation of spin- and colour-correlated Born matrix elements, Eur. Phys. J. C 45 745 [hep-ph/0510157]
81. S. Catani, 1998 The singular behaviour of QCD amplitudes at two-loop order, Phys. Lett. B 427 161 [hep-ph/9802439]
82. G. Sterman and M.E. Tejeda-Yeomans, 2003 Multi-loop amplitudes and resummation, Phys. Lett. B 552 48 [hep-ph/0210130]
83. A. Mitov and S. Moch, 2007 The singular behavior of massive QCD amplitudes J. High Energy Phys. JHEP05(2007)001 [hep-ph/0612149]
84. T. Becher and M. Neubert, 2009 Infrared singularities of scattering amplitudes in perturbative QCD, Phys. Rev. Lett. 102 162001 [0901.0722]
85. E. Gardi and L. Magnea, 2009 Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes J. High Energy Phys. JHEP03(2009)079 [0901.1091]
86. Z. Bern, A. De Freitas and L.J. Dixon, 2002 Two-loop helicity amplitudes for gluon gluon scattering in QCD and supersymmetric Yang-Mills theory J. High Energy Phys. JHEP03(2002)018 [hep-ph/0201161]
87. Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, 1994 One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits, Nucl. Phys. B 425 217 [hep-ph/9403226]
88. Z. Bern, V. Del Duca and C.R. Schmidt, 1998 The infrared behavior of one-loop gluon amplitudes at next-to-next-to-leading order, Phys. Lett. B 445 168 [hep-ph/9810409]
89. D.A. Kosower, 1999 All-order collinear behavior in gauge theories, Nucl. Phys. B 552 319 [hep-ph/9901201]
90. D.A. Kosower and P. Uwer, 1999 One-Loop Splitting Amplitudes in Gauge Theory, Nucl. Phys. B 563 477 [hep-ph/9903515]
91. Z. Bern, V. Del Duca, W.B. Kilgore and C.R. Schmidt, 1999 The infrared behavior of one-loop QCD amplitudes at next-to-next-to-leading order, Phys. Rev. D 60 116001 [hep-ph/9903516]
92. S. Catani and M. Grazzini, 2000 The soft-gluon current at one-loop order, Nucl. Phys. B 591 435 [hep-ph/0007142]
93. F.A. Berends and W.T. Giele, 1989 Multiple Soft Gluon Radiation in Parton Processes, Nucl. Phys. B 313 595
94. - annihilation, Nucl. Phys. B 517 269 [hep-ph/9707224]
95. J.M. Campbell and E.W.N. Glover, 1998 Double Unresolved Approximations to Multiparton Scattering Amplitudes, Nucl. Phys. B 527 264 [hep-ph/9710255]
96. S. Catani and M. Grazzini, 1999 Collinear factorization and splitting functions for next-to-next-to-leading order QCD calculations, Phys. Lett. B 446 143 [hep-ph/9810389]
97. S. Catani and M. Grazzini, 2000 Infrared factorization of tree level QCD amplitudes at the next-to-next-to-leading order and beyond, Nucl. Phys. B 570 287 [hep-ph/9908523]
98. V. Del Duca, A. Frizzo and F. Maltoni, 2000 Factorization of tree QCD amplitudes in the high-energy limit and in the collinear limit, Nucl. Phys. B 568 211 [hep-ph/9909464]
99. D.A. Kosower, 1998 Antenna factorization of gauge-theory amplitudes, Phys. Rev. D 57 5410 [hep-ph/9710213]