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Automating dipole subtraction for QCD NLO calculations

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  • Published: 15 December 2007
  • Volume 53, pages 501–523, (2008)
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The European Physical Journal C Aims and scope Submit manuscript
Automating dipole subtraction for QCD NLO calculations
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  • T. Gleisberg1 &
  • F. Krauss2 
  • 965 Accesses

  • 206 Citations

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Abstract

In this publication the construction of an automatic algorithm to subtract infrared divergences in real QCD corrections through the Catani–Seymour dipole subtraction method [1,2] is reported. The resulting computer code has been implemented in the matrix element generator AMEGIC++ [3]. This will allow for the automatic generation of dipole subtraction terms and their integrals over the one-parton emission phase space for any given process. If the virtual matrix element is provided as well, this then directly leads to an NLO QCD parton level event generator.

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References

  1. S. Catani, M.H. Seymour, Nucl. Phys. B 485, 291 (1997) [arXiv:hep-ph/9605323]

    Article  ADS  Google Scholar 

  2. S. Catani, M.H. Seymour, Nucl. Phys. B 510, 503 (1998) [Erratum]

    Article  ADS  Google Scholar 

  3. F. Krauss, R. Kuhn, G. Soff, JHEP 0202, 044 (2002) [arXiv:hep-ph/0109036]

    Article  ADS  Google Scholar 

  4. J.D. Bjorken, S.D. Drell, (Bibliograph. Inst.-Hochschultaschenbuecher, Mannheim, 1967) Vol. 101, p. 409

  5. C. Itzykson, J.B. Zuber, International Series In Pure and Applied Physics (Mcgraw-Hill, New York, 1980)

    Google Scholar 

  6. F. Halzen, A.D. Martin, Quarks And Leptons: An Introductory Course In Modern Particle Physics (Wiley, New York, 1984)

    Google Scholar 

  7. D.Y. Bardin, G. Passarino, The standard model in the making: Precision study of the electroweak interactions (Clarendon, Oxford, 1999)

    Google Scholar 

  8. M. Bohm, A. Denner, H. Joos, Gauge theories of the strong and electroweak interactions (Teubner, Stuttgart, 2001)

    Google Scholar 

  9. R.K. Ellis, W.J. Stirling, B.R. Webber, Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol. 8, 1 (1996)

    Google Scholar 

  10. CTEQ Collaboration, R. Brock et al., Rev. Mod. Phys. 67, 157 (1995)

    Article  Google Scholar 

  11. J.C. Collins, D.E. Soper, G. Sterman, Nucl. Phys. B 261, 104 (1985)

    Article  ADS  Google Scholar 

  12. J.C. Collins, D.E. Soper, G. Sterman, Adv. Ser. Direct High Energ. Phys. 5, 1 (1988) [arXiv:hep-ph/0409313]

    Google Scholar 

  13. A. Kanaki, C.G. Papadopoulos, Comput. Phys. Commun. 132, 306 (2000) [arXiv:hep-ph/0002082]

    Article  MATH  ADS  Google Scholar 

  14. C.G. Papadopoulos, Comput. Phys. Commun. 137, 247 (2001) [arXiv:hep-ph/0007335]

    Article  MATH  ADS  Google Scholar 

  15. M. Moretti, T. Ohl, J. Reuter, arXiv:hep-ph/0102195

  16. M.L. Mangano, M. Moretti, F. Piccinini, R. Pittau, A.D. Polosa, JHEP 0307, 001 (2003) [arXiv:hep-ph/0206293]

    Article  ADS  Google Scholar 

  17. F. Maltoni, T. Stelzer, JHEP 0302, 027 (2003) [arXiv:hep-ph/0208156]

    Article  ADS  Google Scholar 

  18. P. Pascual, R. Tarrach, Lect. Notes Phys. 194, 1 (1984)

    Article  ADS  Google Scholar 

  19. R.V. Harlander, W.B. Kilgore, Phys. Rev. Lett. 88, 201801 (2002) [arXiv:hep-ph/0201206]

    Article  ADS  Google Scholar 

  20. C. Anastasiou, K. Melnikov, Nucl. Phys. B 646, 220 (2002) [arXiv:hep-ph/0207004]

    Article  ADS  Google Scholar 

  21. J. Campbell, R.K. Ellis, Phys. Rev. D 65, 113007 (2002) [arXiv:hep-ph/0202176]

    Article  ADS  Google Scholar 

  22. Z. Nagy, Phys. Rev. D 68, 094002 (2003) [arXiv:hep-ph/0307268]

    Article  ADS  Google Scholar 

  23. Z. Nagy, Z. Trocsanyi, Phys. Lett. B 634, 498 (2006) [arXiv:hep-ph/0511328]

    Article  ADS  Google Scholar 

  24. J.M. Campbell, R.K. Ellis, G. Zanderighi, JHEP 0610, 028 (2006) [arXiv:hep-ph/0608194]

    Article  ADS  Google Scholar 

  25. S. Dittmaier, P. Uwer, S. Weinzierl, Phys. Rev. Lett. 98, 262002 (2007) [arXiv:hep-ph/0703120]

    Article  ADS  Google Scholar 

  26. T. Binoth, G. Heinrich, T. Gehrmann, P. Mastrolia, Phys. Lett. B 649, 422 (2007) [arXiv:hep-ph/0703311]

    Article  ADS  Google Scholar 

  27. G. Passarino, M.J.G. Veltman, Nucl. Phys. B 160, 151 (1979)

    Article  ADS  Google Scholar 

  28. F. Bloch, A. Nordsieck, Phys. Rev. 52, 54 (1937)

    Article  MATH  ADS  Google Scholar 

  29. T. Kinoshita, J. Math. Phys. 3, 650 (1962)

    Article  MATH  ADS  Google Scholar 

  30. T.D. Lee, M. Nauenberg, Phys. Rev. 133, B1549 (1964)

    Article  MathSciNet  ADS  Google Scholar 

  31. H. Baer, J. Ohnemus, J.F. Owens, Phys. Rev. D 40, 2844 (1989)

    Article  ADS  Google Scholar 

  32. B.W. Harris, J.F. Owens, Phys. Rev. D 65, 094032 (2002) [arXiv:hep-ph/0102128]

    Article  ADS  Google Scholar 

  33. K. Fabricius, I. Schmitt, G. Kramer, G. Schierholz, Z. Phys. C 11, 315 (1981)

    Article  ADS  Google Scholar 

  34. G. Kramer, B. Lampe, Fortschr. Phys. 37, 161 (1989)

    Article  Google Scholar 

  35. W.T. Giele, E.W.N. Glover, Phys. Rev. D 46, 1980 (1992)

    Article  ADS  Google Scholar 

  36. W.T. Giele, E.W.N. Glover, D.A. Kosower, Nucl. Phys. B 403, 633 (1993) [arXiv:hep-ph/9302225]

    Article  ADS  Google Scholar 

  37. R.K. Ellis, D.A. Ross, A.E. Terrano, Nucl. Phys. B 178, 421 (1981)

    Article  ADS  Google Scholar 

  38. S. Frixione, Z. Kunszt, A. Signer, Nucl. Phys. B 467, 399 (1996) [arXiv:hep-ph/9512328]

    Article  ADS  Google Scholar 

  39. D.A. Kosower, Phys. Rev. D 57, 5410 (1998)

    Article  ADS  Google Scholar 

  40. J.M. Campbell, M.A. Cullen, E.W.N. Glover, Eur. Phys. J. C 9, 245 (1999)

    Article  ADS  Google Scholar 

  41. S. Catani, S. Dittmaier, M.H. Seymour, Z. Trocsanyi, Nucl. Phys. B 627, 189 (2002) [arXiv:hep-ph/0201036]

    Article  MATH  ADS  Google Scholar 

  42. D.A. Kosower, Phys. Rev. D 71, 045016 (2005) [arXiv:hep-ph/0311272]

    Article  ADS  Google Scholar 

  43. G. Somogyi, Z. Trocsanyi, arXiv:hep-ph/0609041

  44. D.A. Kosower, Phys. Rev. D 67, 116003 (2003) [arXiv:hep-ph/0212097]

    Article  ADS  Google Scholar 

  45. S. Weinzierl, JHEP 0303, 062 (2003) [arXiv:hep-ph/0302180]

    Article  ADS  Google Scholar 

  46. W.B. Kilgore, Phys. Rev. D 70, 031501 (2004) [arXiv:hep-ph/0403128]

    Article  ADS  Google Scholar 

  47. S. Frixione, M. Grazzini, JHEP 0506, 010 (2005) [arXiv:hep-ph/0411399]

    Article  ADS  Google Scholar 

  48. G. Somogyi, Z. Trocsanyi, V. Del Duca, JHEP 0506, 024 (2005) [arXiv:hep-ph/0502226]

    Article  ADS  Google Scholar 

  49. G. Somogyi, Z. Trocsanyi, V. Del Duca, JHEP 0701, 070 (2007) [arXiv:hep-ph/0609042]

    Article  ADS  Google Scholar 

  50. G. Somogyi, Z. Trocsanyi, JHEP 0701, 052 (2007) [arXiv:hep-ph/0609043]

    Article  ADS  Google Scholar 

  51. A. Gehrmann-De Ridder, T. Gehrmann, E.W.N. Glover, JHEP 0509, 056 (2005) [arXiv:hep-ph/0505111]

    Article  ADS  Google Scholar 

  52. A. Daleo, T. Gehrmann, D. Maitre, JHEP 0704, 016 (2007)

    Article  ADS  Google Scholar 

  53. T. Gleisberg, S. Schumann, F. Krauss, in preparation

  54. T. Gleisberg, S. Hoche, F. Krauss, A. Schalicke, S. Schumann, J.C. Winter, JHEP 0402, 056 (2004) [arXiv:hep-ph/0311263]

    Article  ADS  Google Scholar 

  55. T. Gleisberg, F. Krauss, K.T. Matchev, A. Schalicke, S. Schumann, G. Soff, JHEP 0309, 001 (2003) [arXiv:hep-ph/0306182]

    Article  ADS  MathSciNet  Google Scholar 

  56. T. Gleisberg, F. Krauss, C.G. Papadopoulos, A. Schaelicke, S. Schumann, Eur. Phys. J. C 34, 173 (2004) [arXiv:hep-ph/0311273]

    Article  ADS  Google Scholar 

  57. K. Hagiwara et al., Phys. Rev. D 73, 055005 (2006) [arXiv:hep-ph/0512260]

    Article  ADS  Google Scholar 

  58. P. De Causmaecker, R. Gastmans, W. Troost, T.T. Wu, Phys. Lett. B 105, 215 (1981)

    Article  ADS  Google Scholar 

  59. R. Kleiss, W.J. Stirling, Nucl. Phys. B 262, 235 (1985)

    Article  ADS  Google Scholar 

  60. A. Ballestrero, E. Maina, S. Moretti, Nucl. Phys. B 415, 265 (1994) [arXiv:hep-ph/9212246]

    Article  ADS  Google Scholar 

  61. F.A. Berends, R. Pittau, R. Kleiss, Comput. Phys. Commun. 85, 437 (1995) [arXiv:hep-ph/9409326]

    Article  ADS  Google Scholar 

  62. P.D. Draggiotis, A. van Hameren, R. Kleiss, Phys. Lett. B 483, 124 (2000) [arXiv:hep-ph/0004047]

    Article  ADS  Google Scholar 

  63. A. van Hameren, C.G. Papadopoulos, Eur. Phys. J. C 25, 563 (2002) [arXiv:hep-ph/0204055]

    Article  MATH  ADS  Google Scholar 

  64. R. Kleiss, R. Pittau, Comput. Phys. Commun. 83, 141 (1994) [arXiv:hep-ph/9405257]

    Article  ADS  Google Scholar 

  65. G.P. Lepage, CLNS-80/447 (1980)

  66. T. Ohl, Comput. Phys. Commun. 120, 13 (1999) [arXiv:hep-ph/9806432]

    Article  MATH  ADS  Google Scholar 

  67. S. Catani, Y.L. Dokshitzer, M. Olsson, G. Turnock, B.R. Webber, Phys. Lett. B 269, 432 (1991)

    Article  ADS  Google Scholar 

  68. S. Catani, Y.L. Dokshitzer, B.R. Webber, Phys. Lett. B 285, 291 (1992)

    Article  ADS  Google Scholar 

  69. S. Catani, Y.L. Dokshitzer, M.H. Seymour, B.R. Webber, Nucl. Phys. B 406, 187 (1993)

    Article  ADS  Google Scholar 

  70. G.C. Blazey et al., arXiv:hep-ex/0005012

  71. DELPHI Collaboration, P. Abreu et al., Z. Phys. C 73, 11 (1996)

    Article  Google Scholar 

  72. J. Pumplin, D.R. Stump, J. Huston, H.L. Lai, P. Nadolsky, W.K. Tung, JHEP 0207, 012 (2002) [arXiv:hep-ph/0201195]

    Article  ADS  Google Scholar 

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Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität Dresden, 01062, Dresden, Germany

    T. Gleisberg

  2. Institute for Particle Physics Phenomenology, Durham University, Durham, DH1 3LE, UK

    F. Krauss

Authors
  1. T. Gleisberg
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  2. F. Krauss
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Corresponding author

Correspondence to T. Gleisberg.

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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License ( https://creativecommons.org/licenses/by-nc/2.0 ), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

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Gleisberg, T., Krauss, F. Automating dipole subtraction for QCD NLO calculations. Eur. Phys. J. C 53, 501–523 (2008). https://doi.org/10.1140/epjc/s10052-007-0495-0

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  • Received: 25 October 2007

  • Published: 15 December 2007

  • Issue date: February 2008

  • DOI: https://doi.org/10.1140/epjc/s10052-007-0495-0

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Keywords

  • Subtraction Term
  • Insertion Operator
  • Phase Space Point
  • Real Correction
  • Dipole Term

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