NLO antenna subtraction with massive fermions

Journal of High Energy Physics

Volumn 2009, Issue 7, 2009, Pages

  Gehrmann De Ridder, A ^a   Ritzmann, M ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Jets; NLO Computations; QCD

Indexed keywords

EID: 70350032262     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/07/041     Document Type: Article

References (61)

1. T. Kinoshita, 1962 Mass singularities of Feynman amplitudes J. Math. Phys. 3 650
2. T.D. Lee and M. Nauenberg, 1964 Degenerate systems and mass singularities, Phys. Rev. 133 B1549
3. see for example: J.M. Campbell, J.W. Huston and W.J. Stirling, 2007 Hard interactions of quarks and gluons: a primer for LHC physics, Rept. Prog. Phys. 70 89 [hep-ph/0611148]
4. - annihilation, Phys. Rev. D 46 1980
5. 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]
6. 3, Phys. Rev. D 46 192
7. 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]
8. S. Catani and M.H. Seymour, 1997 A general algorithm for calculating jet cross sections in NLO QCD, Nucl. Phys. B 485 291 [Erratum ibid B 510 (1997) 503] [hep-ph/9605323]
9. D.A. Kosower, 1998 Antenna factorization of gauge-theory amplitudes, Phys. Rev. D 57 5410 [hep-ph/9710213]
10. D.A. Kosower, 2005 Antenna factorization in strongly-ordered limits, Phys. Rev. D 71 045016 [hep-ph/0311272]
11. 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]
12. A. Daleo, T. Gehrmann and D. Matre, 2007 Antenna subtraction with hadronic initial states J. High Energy Phys. JHEP04(2007)016 [hep-ph/0612257]
13. 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]
14. 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]
15. 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]
16. - 3 jets at NNLO J. High Energy Phys. JHEP11(2007)058 [0710.0346]
17. - annihilation J. High Energy Phys. JHEP12(2007)094 [0711.4711]
18. 3) in QCD, Phys. Rev. Lett. 100 2008 172001 [0802.0813]
19. - annihilation J. High Energy Phys. JHEP05(2009)106 2009 [0903.4658]
20. S. Weinzierl, 2008 NNLO corrections to 3-jet observables in electron-positron annihilation, Phys. Rev. Lett. 101 162001 [0807.3241]
21. S. Weinzierl, 2009 Event shapes and jet rates in electron-positron annihilation at NNLO J. High Energy Phys. JHEP06(2009)041 [0904.1077]
22. -$ 3 jets at NNLO reloaded, [0904.1145]
23. 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]
24. R.K. Ellis, W.J. Stirling and B.R. Webber, 1996 QCD and collider physics, Cambridge University Press, Cambridge U.K.
25. S. Catani, S. Dittmaier and Z. Trócsnyi, 2001 One-loop singular behaviour of QCD and SUSY QCD amplitudes with massive partons, Phys. Lett. B 500 149 [hep-ph/0011222]
26. L. Phaf and S. Weinzierl, 2001 Dipole formalism with heavy fermions J. High Energy Phys. JHEP04(2001)006 [hep-ph/0102207]
27. W.T. Giele, D.A. Kosower and P.Z. Skands, 2008 A simple shower and matching algorithm, Phys. Rev. D 78 014026 [0707.3652]
28. G. Gustafson, 1986 Dual description of a confined color field, Phys. Lett. B 175 453
29. G. Gustafson and U. Pettersson, 1988 Dipole formulation of QCD cascades, Nucl. Phys. B 306 746
30. B. Andersson, G. Gustafson and L. Lönnblad, 1990 Gluon splitting in the color dipole cascades, Nucl. Phys. B 339 393
31. B. Andersson, G. Gustafson, L. Lönnblad and U. Pettersson, 1989 Coherence effects in deep inelastic scattering, Z. Phys. C 43 625
32. Z. Nagy and D.E. Soper, 2007 Parton showers with quantum interference J. High Energy Phys. JHEP09(2007)114 [0706.0017]
33. Z. Nagy and D.E. Soper, 2008 Parton showers with quantum interference: leading color, spin averaged J. High Energy Phys. JHEP03(2008)030 [0801.1917]
34. Z. Nagy and D.E. Soper, 2009 Final state dipole showers and the DGLAP equation J. High Energy Phys. JHEP05(2009)088 [0901.3587]
35. S. Frixione, P. Nason and C. Oleari, 2007 Matching NLO QCD computations with parton shower simulations: the POWHEG method J. High Energy Phys. JHEP11(2007)070 [0709.2092]
36. M. Dinsdale, M. Ternick and S. Weinzierl, 2007 Parton showers from the dipole formalism, Phys. Rev. D 76 094003 [0709.1026]
37. S. Schumann and F. Krauss, 2008 A parton shower algorithm based on Catani-Seymour dipole factorisation J. High Energy Phys. JHEP03(2008)038 [0709.1027]
38. S. Hoeche, F. Krauss, S. Schumann and F. Siegert, 2009 QCD matrix elements and truncated showers J. High Energy Phys. JHEP05(2009)053 [0903.1219]
39. T. Gleisberg et al., 2004 SHERPA 1.α, a proof-of-concept version J. High Energy Phys. JHEP02(2004)056 [hep-ph/0311263]
40. T. Gleisberg et al., 2009 Event generation with SHERPA 1.1 J. High Energy Phys. JHEP02(2009)007 [0811.4622]
41. G. Altarelli and G. Parisi, 1977 Asymptotic freedom in parton language, Nucl. Phys. B 126 298
42. K.G. Chetyrkin and F.V. Tkachov, 1981 Integration by parts: the algorithm to calculate β-functions in 4 loops, Nucl. Phys. B 192 159
43. F.V. Tkachov, 1981 A theorem on analytical calculability of four loop renormalization group functions, Phys. Lett. B 100 65
44. C. Anastasiou and K. Melnikov, 2002 Higgs boson production at hadron colliders in NNLO QCD, Nucl. Phys. B 646 220 [hep-ph/0207004]
45. 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]
46. S. Laporta, 2000 High-precision calculation of multi-loop Feynman integrals by difference equations, Int. J. Mod. Phys. A 15 5087 [hep-ph/0102033]
47. J.A.M. Vermaseren, New features of FORM, [math-ph/0010025]
48. A.V. Smirnov, 2008 Algorithm FIRE - Feynman Integral REduction J. High Energy Phys. JHEP10(2008)107 [0807.3243]
49. E. Remiddi, 1997 Differential equations for Feynman graph amplitudes Nuovo Cim. A 110 1435 [hep-th/9711188]
50. T. Gehrmann and E. Remiddi, 2000 Using differential equations to compute two-loop box integrals, Nucl. Phys. Proc. Suppl. 89 251 [hep-ph/0005232]
51. T. Gehrmann and E. Remiddi, 2000 Differential equations for two-loop four-point functions, Nucl. Phys. B 580 485 [hep-ph/9912329]
52. * 3 jets: the planar topologies, Nucl. Phys. B 601 248 [hep-ph/0008287]
53. T. Huber and D. Matre, 2006 HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters, Comput. Phys. Commun. 175 122 [hep-ph/0507094]
54. T. Huber and D. Matre, 2008 HypExp 2, expanding hypergeometric functions about half-integer parameters, Comput. Phys. Commun. 178 755 [0708.2443]
55. D. Matre, 2006 HPL, a Mathematica implementation of the harmonic polylogarithms, Comput. Phys. Commun. 174 222 [hep-ph/0507152]
56. Extension of HPL to complex arguments, [hep-ph/0703052]
57. E. Remiddi and J.A.M. Vermaseren, 2000 Harmonic polylogarithms, Int. J. Mod. Phys. A 15 725 [hep-ph/9905237]
58. W. Bernreuther et al., 2005 Two-loop QCD corrections to the heavy quark form factors: the vector contributions, Nucl. Phys. B 706 245 [hep-ph/0406046]
59. - annihilation, Phys. Rev. D 25 1218 [Erratum ibid D 36 (1987) 310]
60. J.S. Schwinger, 1973 Particles, sources and fields. Volume II, Reading
61. - cross-section and the Z boson decay rate: concepts and results, Phys. Rept. 277 189