Infrared structure of e+e- 3 jets at NNLO

Journal of High Energy Physics

Volumn 2007, Issue 11, 2007, Pages

  Gehrmann de Ridder, Aude ^a   Gehrmann, Thomas ^b   Glover, E W Nigel ^c   Heinrich, Gudrun ^d  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF ZURICH   (Switzerland)

^c DURHAM UNIVERSITY   (United Kingdom)

^d UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

Jets; LEP HERA and SLC physics; QCD

Indexed keywords

EID: 84856403416     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/11/058     Document Type: Article

References (141)

1. D.P. Barber et al., Discovery of three jet events and a test of quantum chromodynamics at petra energies 1979 Phys. Rev. Lett. 43 830
2. P. Söding, B. Wiik, G. Wolf and S.L. Wu, Given at award ceremony of the 1995EPS high energy and particle physics prize proceedings of the EPS High Energy Physics Conference Brussels (1995)
3. - annihilation 1976 Nucl. Phys. B 111 253 [Erratum 1977 Nucl. Phys. 130 510]
4. R.K. Ellis, W.J. Stirling and B.R. Webber, QCD and Collider Physics (Cambridge University Press, Cambridge) (1996)
5. G. Dissertori, I.G. Knowles and M. Schmelling, Quantum chromodynamics: high energy experiments and theory (Oxford University Press), Oxford (2003)
6. S. Bethke, Experimental tests of asymptotic freedom 2007 Prog. Part. Nucl. Phys. 58 351 [hep-ex/0606035]
7. - annihilation 1981 Nucl. Phys. B 178 421
8. - annihilation 1981 Phys. Lett. B 99 429
9. - annihilation 1981 Nucl. Phys. B 187 301
10. L. Clavelli and D. Wyler, Kinematical bounds on jet variables and the heavy jet mass distribution 1981 Phys. Lett. B 103 383
11. - annihilation 1981 Z. Physik C 11 315
12. Z. Kunszt and P. Nason, in, Z Physics at LEP1 CERN Yellow Report 89-08
13. - annihilation 1992 Phys. Rev. D 46 1980
14. S. Catani and M.H. Seymour, A general algorithm for calculating jet cross sections in NLO QCD 1997 Nucl. Phys. B 485 291 [Erratum 1997 Nucl. Phys. 510 503] [hep-ph/9605323]
15. - annihilation 1991 Phys. Lett. B 263 491
16. - event shape distributions 1993 Nucl. Phys. B 407 3
17. - annihilations 2003 J. High Energy Phys. JHEP12(2003)007 [hep-ph/0312016]
18. G.P. Korchemsky and G. Sterman, Nonperturbative corrections in resummed cross-sections 1995 Nucl. Phys. B 437 415 [hep-ph/9411211]
19. Y.L. Dokshitzer and B.R. Webber, Calculation of power corrections to hadronic event shapes 1995 Phys. Lett. B 352 451 [hep-ph/9504219]
20. Y.L. Dokshitzer and B.R. Webber, Power corrections to event shape distributions 1997 Phys. Lett. B 404 321 [hep-ph/9704298]
21. Y.L. Dokshitzer, A. Lucenti, G. Marchesini and G.P. Salam, On the universality of the Milan factor for 1/Q power corrections to jet shapes 1998 J. High Energy Phys. JHEP05(1998)003 [hep-ph/9802381]
22. Z. Kunszt ed., Proceedings of the workshop on ''New Techniques for Calculating Higher Order QCD Corrections'' Zürich, (1992)
23. 3) 1992 Phys. Rev. D 46 192
24. S. Frixione, Z. Kunszt and A. Signer, Three-jet cross sections to next-to-leading order 1996 Nucl. Phys. B 467 399 [hep-ph/9512328]
25. G. Somogyi and Z. Trócsnyi, A new subtraction scheme for computing QCD jet cross sections at next-to-leading order accuracy [hep-ph/0609041]
26. Z. Nagy, G. Somogyi and Z. Trócsnyi, Separation of soft and collinear infrared limits of QCD squared matrix elements [hep-ph/0702273]
27. Z. Bern, L.J. Dixon and A. Ghinculov, Two-loop correction to Bhabha scattering 2001 Phys. Rev. D 63 053007 [hep-ph/0010075]
28. C. Anastasiou, E.W.N. Glover, C. Oleari and M.E. Tejeda-Yeomans, Two-loop QCD corrections to q q′ ′, 2001 Nucl. Phys. B 601 318 [hep-ph/0010212]
29. C. Anastasiou, E.W.N. Glover, C. Oleari and M.E. Tejeda-Yeomans, Two-loop QCD corrections to q q, 2001 Nucl. Phys. B 601 341 [hep-ph/0011094]
30. C. Anastasiou, E.W.N. Glover, C. Oleari and M.E. Tejeda-Yeomans, Two-loop QCD corrections to massless quark gluon scattering 2001 Nucl. Phys. B 605 486 [hep-ph/0101304]
31. E.W.N. Glover, C. Oleari and M.E. Tejeda-Yeomans, Two-loop QCD corrections to gluon gluon scattering 2001 Nucl. Phys. B 605 467 [hep-ph/0102201]
32. C. Anastasiou, E.W.N. Glover and M.E. Tejeda-Yeomans, Two-loop QED and QCD corrections to massless fermion boson scattering 2002 Nucl. Phys. B 629 255 [hep-ph/0201274]
33. E.W.N. Glover and M.E. Tejeda-Yeomans, Two-loop QCD helicity amplitudes for massless quark massless gauge boson scattering 2003 J. High Energy Phys. JHEP06(2003)033 [hep-ph/0304169]
34. E.W.N. Glover, Two-loop QCD helicity amplitudes for massless quark quark scattering 2004 J. High Energy Phys. JHEP04(2004)021 [hep-ph/0401119]
35. Z. Bern, A. De Freitas and L.J. Dixon, Two-loop amplitudes for gluon fusion into two photons 2001 J. High Energy Phys. JHEP09(2001)037 [hep-ph/0109078]
36. Z. Bern, A. De Freitas and L.J. Dixon, Two-loop helicity amplitudes for gluon gluon scattering in QCD and supersymmetric Yang-Mills theory 2002 J. High Energy Phys. JHEP03(2002)018 [hep-ph/0201161]
37. 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 2003 J. High Energy Phys. JHEP06(2003)028 [hep-ph/0304168]
38. 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 2004 J. High Energy Phys. JHEP09(2004)039 [hep-ph/0409007]
39. Z. Bern, A. De Freitas, L.J. Dixon, A. Ghinculov and H.L. Wong, QCD and QED corrections to light-by-light scattering 2001 J. High Energy Phys. JHEP11(2001)031 [hep-ph/0109079]
40. T. Binoth, E.W.N. Glover, P. Marquard and J.J. van der Bij, Two-loop corrections to light-by-light scattering in supersymmetric QED 2002 J. High Energy Phys. JHEP05(2002)060 [hep-ph/0202266]
41. T. Gehrmann and E. Remiddi, Analytic continuation of massless two-loop four-point functions 2002 Nucl. Phys. B 640 379 [hep-ph/0207020]
42. - 3jets 2002 Nucl. Phys. B 627 107 [hep-ph/0112081]
43. - 3jets 2002 Nucl. Phys. B 642 227 [hep-ph/0206067]
44. - qg, 2002 Phys. Rev. D 66 114001 [hep-ph/0207043]
45. Z. Bern, L.J. Dixon and D.A. Kosower, One loop corrections to five gluon amplitudes 1993 Phys. Rev. Lett. 70 2677 [hep-ph/9302280]
46. Z. Kunszt, A. Signer and Z. Trócsnyi, One loop radiative corrections to the helicity amplitudes of QCD processes involving four quarks and one gluon 1994 Phys. Lett. B 336 529 [hep-ph/9405386]
47. Z. Bern, L.J. Dixon and D.A. Kosower, One loop corrections to two quark three gluon amplitudes 1995 Nucl. Phys. B 437 259 [hep-ph/9409393]
48. E.W.N. Glover and D.J. Miller, The one-loop QCD corrections for γ* qq, 1997 Phys. Lett. B 396 257 [hep-ph/9609474]
49. - qq, 1997 Nucl. Phys. B 489 3 [hep-ph/9610370]
50. J.M. Campbell, E.W.N. Glover and D.J. Miller, The one-loop QCD corrections for γ* qgg, 1997 Phys. Lett. B 409 503 [hep-ph/9706297]
51. - to four partons 1998 Nucl. Phys. B 513 3 [hep-ph/9708239]
52. A. Gehrmann-De Ridder, T. Gehrmann and G. Heinrich, Four-particle phase space integrals in massless QCD 2004 Nucl. Phys. B 682 265 [hep-ph/0311276]
53. G. Heinrich, A numerical method for nnlo calculations 2003 Nucl. Phys. (Proc. Suppl.) 116 368 [hep-ph/0211144]
54. C. Anastasiou, K. Melnikov and F. Petriello, A new method for real radiation at NNLO 2004 Phys. Rev. D 69 076010 [hep-ph/0311311]
55. T. Binoth and G. Heinrich, Numerical evaluation of phase space integrals by sector decomposition 2004 Nucl. Phys. B 693 134 [hep-ph/0402265]
56. G. Heinrich, A numerical approach to infrared divergent multi-parton phase space integrals 2004 Nucl. Phys. (Proc. Suppl.) 135 290 [hep-ph/0406332]
57. - 3jets at NNLO by sector decomposition 2006 Eur. Phys. J. C 48 25 [hep-ph/0601062]
58. 2) 2004 Phys. Rev. Lett. 93 032002 [hep-ph/0402280]
59. C. Anastasiou, K. Melnikov and F. Petriello, Higgs boson production at hadron colliders: differential cross sections through next-to-next-to-leading order 2004 Phys. Rev. Lett. 93 262002 [hep-ph/0409088]
60. C. Anastasiou, K. Melnikov and F. Petriello, Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order 2005 Nucl. Phys. B 724 197 [hep-ph/0501130]
61. C. Anastasiou, G. Dissertori and F. Stockli, NNLO QCD predictions for the HWWllνν signal at the LHC 2007 J. High Energy Phys. JHEP09(2007)018 [0707.2373]
62. 2) 2006 Phys. Rev. Lett. 96 231803 [hep-ph/0603182]
63. 2) 2006 Phys. Rev. D 74 114017 [hep-ph/0609070]
64. 2) 2007 J. High Energy Phys. JHEP09(2007)014 [hep-ph/0505069]
65. 2) to the forward-backward asymmetry 1999 J. High Energy Phys. JHEP07(1999)023 [hep-ph/9905424]
66. S. Weinzierl, The forward-backward asymmetry at NNLO revisited 2007 Phys. Lett. B 644 331 [hep-ph/0609021]
67. - 2jets at NNLO 2004 Nucl. Phys. B 691 195 [hep-ph/0403057]
68. S. Weinzierl, NNLO corrections to 2-jet observables in electron positron annihilation 2006 Phys. Rev. D 74 014020 [hep-ph/0606008]
69. S. Catani and M. Grazzini, An nnlo subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC 2007 Phys. Rev. Lett. 98 222002 [hep-ph/0703012]
70. A. Gehrmann-De Ridder, T. Gehrmann and E.W.N. Glover, Antenna subtraction at NNLO 2005 J. High Energy Phys. JHEP09(2005)056 [hep-ph/0505111]
71. A. Gehrmann-De Ridder, T. Gehrmann, E.W.N. Glover and G. Heinrich, Second-order QCD corrections to the thrust distribution 2007 Phys. Rev. Lett. 99 132002 [0707.1285]
72. T. Kinoshita, Mass singularities of Feynman amplitudes 1962 J. Math. Phys. 3 650
73. T.D. Lee and M. Nauenberg, Degenerate systems and mass singularities 1964 Phys. Rev. B 133 1549
74. - annihilation 1998 Nucl. Phys. B 517 269 [hep-ph/9707224]
75. F.A. Berends and W. Giele, The six gluon process as an example of Weyl-van der Waerden spinor calculus 1987 Nucl. Phys. B 294 700
76. M.L. Mangano, S.J. Parke and Z. Xu, Duality and multi-gluon scattering 1988 Nucl. Phys. B 298 653
77. M.L. Mangano, The color structure of gluon emission 1988 Nucl. Phys. B 309 461
78. L.J. Dixon, Calculating scattering amplitudes efficiently in Proceedings of ''Theoretical Advanced Study Institute in elementary particle physics (TASI '95): QCD and beyond'' D. Soper ed., (World Scientific, Singapore) (1996), [hep-ph/9601359]
79. J.M. Campbell and E.W.N. Glover, Double unresolved approximations to multiparton scattering amplitudes 1998 Nucl. Phys. B 527 264 [hep-ph/9710255]
80. G. Sterman and S. Weinberg, Jets from quantum chromodynamics 1977 Phys. Rev. Lett. 39 1436
81. J.M. Campbell, M.A. Cullen and E.W.N. Glover, Four jet event shapes in electron positron annihilation 1999 Eur. Phys. J. C 9 245 [hep-ph/9809429]
82. D.A. Kosower, Antenna factorization of gauge-theory amplitudes 1998 Phys. Rev. D 57 5410 [hep-ph/9710213]
83. D.A. Kosower, Antenna factorization in strongly-ordered limits 2005 Phys. Rev. D 71 045016 [hep-ph/0311272]
84. A. Daleo, T. Gehrmann and D. Maitre, Antenna subtraction with hadronic initial states 2007 J. High Energy Phys. JHEP04(2007)016 [hep-ph/0612257]
85. S. Weinzierl, Subtraction terms at NNLO 2003 J. High Energy Phys. JHEP03(2003)062 [hep-ph/0302180]
86. W.B. Kilgore, Subtraction terms for hadronic production processes at next-to-next-to-leading order 2004 Phys. Rev. D 70 031501 [hep-ph/0403128]
87. S. Frixione and M. Grazzini, Subtraction at NNLO 2005 J. High Energy Phys. JHEP06(2005)010 [hep-ph/0411399]
88. G. Somogyi, Z. Trócsnyi and V. Del Duca, Matching of singly- and doubly-unresolved limits of tree-level QCD squared matrix elements 2005 J. High Energy Phys. JHEP06(2005)024 [hep-ph/0502226]
89. G. Somogyi, Z. Trócsnyi and V. Del Duca, A subtraction scheme for computing QCD jet cross sections at nnlo: regularization of doubly-real emissions 2007 J. High Energy Phys. JHEP01(2007)070 [hep-ph/0609042]
90. G. Somogyi and Z. Trócsnyi, A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of real-virtual emission 2007 J. High Energy Phys. JHEP01(2007)052 [hep-ph/0609043]
91. D.A. Kosower, Multiple singular emission in gauge theories 2003 Phys. Rev. D 67 116003 [hep-ph/0212097]
92. 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 [hep-ph/9403226]
93. D.A. Kosower, All-order collinear behavior in gauge theories 1999 Nucl. Phys. B 552 319 [hep-ph/9901201]
94. D.A. Kosower and P. Uwer, One-loop splitting amplitudes in gauge theory 1999 Nucl. Phys. B 563 477 [hep-ph/9903515]
95. Z. Bern, V. Del Duca and C.R. Schmidt, The infrared behavior of one-loop gluon amplitudes at next-to-next-to-leading order 1998 Phys. Lett. B 445 168 [hep-ph/9810409]
96. 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 1999 Phys. Rev. D 60 116001 [hep-ph/9903516]
97. S. Catani and M. Grazzini, The soft-gluon current at one-loop order 2000 Nucl. Phys. B 591 435 [hep-ph/0007142]
98. H.E. Haber and D. Wyler, Radiative neutralino decay 1989 Nucl. Phys. B 323 267
99. F. Wilczek, Decays of heavy vector mesons into Higgs particles 1977 Phys. Rev. Lett. 39 1304
100. M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Remarks on Higgs boson interactions with nucleons 1978 Phys. Lett. B 78 443
101. A. Gehrmann-De Ridder, T. Gehrmann and E.W.N. Glover, Quark-gluon antenna functions from neutralino decay 2005 Phys. Lett. B 612 36 [hep-ph/0501291]
102. A. Gehrmann-De Ridder, T. Gehrmann and E.W.N. Glover, Gluon gluon antenna functions from Higgs boson decay 2005 Phys. Lett. B 612 49 [hep-ph/0502110]
103. C. Anastasiou and K. Melnikov, Higgs boson production at hadron colliders in NNLO QCD 2002 Nucl. Phys. B 646 220 [hep-ph/0207004]
104. C. Anastasiou, L.J. Dixon, K. Melnikov and F. Petriello, High-precision QCD at hadron colliders: electroweak gauge boson rapidity distributions at nnlo 2004 Phys. Rev. D 69 094008 [hep-ph/0312266]
105. F.A. Berends and W.T. Giele, Multiple soft gluon radiation in parton processes 1989 Nucl. Phys. B 313 595
106. V. Del Duca, A. Frizzo and F. Maltoni, Factorization of tree QCD amplitudes in the high-energy limit and in the collinear limit 2000 Nucl. Phys. B 568 211 [hep-ph/9909464]
107. S. Catani and M. Grazzini, Collinear factorization and splitting functions for next- to-next-to-leading order QCD calculations, 1999 Phys. Lett. B 446 143 [hep-ph/9810389]
108. S. Catani and M. Grazzini, Infrared factorization of tree level QCD amplitudes at the next-to-next-to-leading order and beyond 2000 Nucl. Phys. B 570 287 [hep-ph/9908523]
109. G. Altarelli and G. Parisi, Asymptotic freedom in parton language 1977 Nucl. Phys. B 126 298
110. s 1997 Phys. Rev. Lett. 78 811 [hep-ph/9609460]
111. - (γ,Z) four jets 1997 Phys. Rev. D 56 4031 [hep-ph/9706285]
112. J.J. van der Bij and E.W.N. Glover, Z boson production and decay via gluons 1989 Nucl. Phys. B 313 237
113. ±p and hadron colliders 1989 Nucl. Phys. B 313 560
114. F.A. Berends, W.T. Giele and H. Kuijf, Exact expressions for processes involving a vector boson and up to five partons 1989 Nucl. Phys. B 321 39
115. - annihilation 1989 Nucl. Phys. B 328 317
116. S. Catani, The singular behaviour of QCD amplitudes at two-loop order, 1998 Phys. Lett. B 427 161 [hep-ph/9802439]
117. G. Sterman and M.E. Tejeda-Yeomans, Multi-loop amplitudes and resummation 2003 Phys. Lett. B 552 48 [hep-ph/0210130]
118. F.V. Tkachov, A theorem on analytical calculability of four loop renormalization group functions 1981 Phys. Lett. B 100 65
119. T. Gehrmann and E. Remiddi, Differential equations for two-loop four-point functions 2000 Nucl. Phys. B 580 485 [hep-ph/9912329]
120. S. Laporta, High-precision calculation of multi-loop Feynman integrals by difference equations 2000 Int. J. Mod. Phys. A 15 5087 [hep-ph/0102033]
121. T. Gehrmann and E. Remiddi, Two-loop master integrals for γ* 3jets: the planar topologies 2001 Nucl. Phys. B 601 248 [hep-ph/0008287]
122. T. Gehrmann and E. Remiddi, Two-loop master integrals for γ* 3jets: the non-planar topologies 2001 Nucl. Phys. B 601 287 [hep-ph/0101124]
123. A.V. Kotikov, Differential equations method: new technique for massive Feynman diagrams calculation 1991 Phys. Lett. B 254 158
124. E. Remiddi, Differential equations for Feynman graph amplitudes 1997 Nuovo Cim. A 110 1435 [hep-th/9711188]
125. M. Caffo, H. Czyz, S. Laporta and E. Remiddi, The master differential equations for the 2-loop sunrise selfmass amplitudes 1998 Nuovo Cim. A 111 365 [hep-th/9805118]
126. E. Remiddi and J.A.M. Vermaseren, Harmonic polylogarithms 2000 Int. J. Mod. Phys. A 15 725 [hep-ph/9905237]
127. N. Nielsen, Der Eulersche Dilogarithmus und seine Verallgemeinerungen 1970 Nova Acta Leopoldiana (Halle) 90 (1909) 123
128. K.S. Kölbig, J.A. Mignaco and E. Remiddi, One Nielsen's generalised polylogarithms and their numerical calculation B.I.T. 10 38
129. T. Gehrmann and E. Remiddi, Numerical evaluation of harmonic polylogarithms 2001 Comput. Phys. Commun. 141 296 [hep-ph/0107173]
130. T. Gehrmann and E. Remiddi, Numerical evaluation of two-dimensional harmonic polylogarithms 2002 Comput. Phys. Commun. 144 200 [hep-ph/0111255]
131. D. Maitre, HPL, a Mathematica implementation of the harmonic polylogarithms 2006 Comput. Phys. Commun. 174 222 [hep-ph/0507152]
132. 2 contribution 2004 Nucl. Phys. (Proc. Suppl.) 135 97 [hep-ph/0407023]
133. - 3jets at NNLO: QED-type contributions 2006 Nucl. Phys. (Proc. Suppl.) 160 190 [hep-ph/0607042]
134. G.P. Lepage, A new algorithm for adaptive multidimensional integration 1978 J. Comput. Phys. 27 192
135. R. Kleiss, W.J. Stirling and S.D. Ellis, A new Monte Carlo treatment of multiparticle phase space at high-energies 1986 Comput. Phys. Commun. 40 359
136. S. Brandt, C. Peyrou, R. Sosnowski and A. Wroblewski, The principal axis of jets. an attempt to analyze high-energy collisions as two-body processes 1964 Phys. Lett. A 12 57
137. E. Farhi, A QCD test for jets 1977 Phys. Rev. Lett. 39 1587
138. - centre-of-mass energies between 91 GeV and 209 GeV 2004 Eur. Phys. J. C 35 457
139. s 2005 Eur. Phys. J. C 40 287 [hep-ex/0503051]
140. - annihilation from 30 GeV to 209 GeV with the L3 detector 2004 Phys. Rep. 399 71 [hep-ex/0406049]
141. DELPHI collaboration, J. Abdallah et al., A study of the energy evolution of event shape distributions and their means with the DELPHI detector at LEP 2003 Eur. Phys. J. C 29 285 [hep-ex/0307048]