Antenna subtraction with massive fermions at NNLO: Double real initial-final configurations

Journal of High Energy Physics

Volumn 2012, Issue 12, 2012, Pages

  Abelof, Gabriel ^a   Dekkers, Oliver ^b   Gehrmann de Ridder, Aude ^a  

^a ETH ZURICH   (Switzerland)

^b RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

Hadronic Colliders; NLO Computations

Indexed keywords

EID: 84873646318     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP12(2012)107     Document Type: Article

References (60)

1. ATLAS and CMS collaborations, Recent results on top quark physics with the ATLAS and CMS experiments, arXiv:1206.2967.
2. G. Abelof and A. Gehrmann-De Ridder, Double real radiation corrections to t̄t production at the LHC: the all-fermion processes, JHEP 04 (2012) 076 [ arXiv:1112.4736 ].
3. C. Anastasiou and S.M. Aybat, The one-loop gluon amplitude for heavy-quark production at NNLO, Phys. Rev. D 78 (2008) 114006 [ arXiv:0809.1355 ].
4. P. Baernreuther, M. Czakon and A. Mitov, Percent level precision physics at the Tevatron: first genuine NNLO QCD corrections to q̄q → t̄t + X, Phys. Rev. Lett. 109 (2012) 132001 [ arXiv:1204.5201 ].
5. I. Bierenbaum, M. Czakon and A. Mitov, The singular behavior of one-loop massive QCD amplitudes with one external soft gluon, Nucl. Phys. B 856 (2012) 228 [ arXiv:1107.4384 ].
6. R. Bonciani, A. Ferroglia, T. Gehrmann, D. MâItre and C. Studerus, Two-loop fermionic corrections to heavy-quark pair production: the quark-antiquark channel, JHEP 07 (2008) 129 [ arXiv:0806.2301 ].
7. R. Bonciani, A. Ferroglia, T. Gehrmann and C. Studerus, Two-loop planar corrections to heavy-quark pair production in the quark-antiquark channel, JHEP 08 (2009) 067 [ arXiv:0906.3671 ].
8. R. Bonciani, A. Ferroglia, T. Gehrmann, A. Manteuffel and C. Studerus, Two-loop leading color corrections to heavy-quark pair production in the gluon fusion channel, JHEP 01 (2011) 102 [ arXiv:1011.6661 ].
9. M. Czakon, Tops from light quarks: full mass dependence at two-loops in QCD, Phys. Lett. B 664 (2008) 307 [ arXiv:0803.1400 ].
10. M. Czakon, Double-real radiation in hadronic top quark pair production as a proof of a certain concept, Nucl. Phys. B 849 (2011) 250 [ arXiv:1101.0642 ].
11. M. Czakon and A. Mitov, NNLO corrections to top-pair production at hadron colliders: the all-fermionic scattering channels, arXiv:1207.0236.
12. 4) order: one-loop squared contributions, Phys. Rev. D 78 (2008) 094013 [ arXiv:0809.3980 ].
13. 4) results for heavy quark pair production in quark-antiquark collisions: the one-loop squared contributions, Phys. Rev. D 77 (2008) 094011 [Erratum ibid. D 85 (2012) 119904] [ arXiv:0802.0106 ].
14. R. Bonciani and A. Ferroglia, Top-quark production at hadron colliders, PoS(EPS-HEP2011)341.
15. R. Boughezal, K. Melnikov and F. Petriello, A subtraction scheme for NNLO computations, Phys. Rev. D 85 (2012) 034025 [ arXiv:1111.7041 ].
16. S. Catani and M. Seymour, A general algorithm for calculating jet cross-sections in NLO QCD, Nucl. Phys. B 485 (1997) 291 [Erratum ibid. B 510 (1998) 503] [ hep-ph/9605323 ].
17. S. Catani, S. Dittmaier, M.H. Seymour and Z. Trócsányi, The dipole formalism for next-to-leading order QCD calculations with massive partons, Nucl. Phys. B 627 (2002) 189 [ hep-ph/0201036 ].
18. 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 ]. (Pubitemid 47139751)
19. M. Czakon, A novel subtraction scheme for double-real radiation at NNLO, Phys. Lett. B 693 (2010) 259 [ arXiv:1005.0274 ].
20. R. Frederix, T. Gehrmann and N. Greiner, Automation of the dipole subtraction method in MadGraph/MadEvent, JHEP 09 (2008) 122 [ arXiv:0808.2128 ].
21. S. Frixione, A general approach to jet cross-sections in QCD, Nucl. Phys. B 507 (1997) 295 [ hep-ph/9706545 ].
22. S. Frixione and M. Grazzini, Subtraction at NNLO, JHEP 06 (2005) 010 [ hep-ph/0411399 ]. (Pubitemid 40976639)
23. 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 ].
24. 3, Phys. Rev. D 46 (1992) 192.
25. 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 ].
26. L. Phaf and S. Weinzierl, Dipole formalism with heavy fermions, JHEP 04 (2001) 006 [ hep-ph/0102207 ].
27. G. Somogyi and Z. Trócsányi, A new subtraction scheme for computing QCD jet cross sections at next-to-leading order accuracy, hep-ph/0609041.
28. 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 ].
29. S. Weinzierl, Subtraction terms at NNLO, JHEP 03 (2003) 062 [ hep-ph/0302180 ].
30. R. Boughezal, A. Gehrmann-De Ridder and M. Ritzmann, Antenna subtraction at NNLO with hadronic initial states: double real radiation for initial-initial configurations with two quark flavours, JHEP 02 (2011) 098 [ arXiv:1011.6631 ].
31. A. Daleo, T. Gehrmann and D. Maître, Antenna subtraction with hadronic initial states, JHEP 04 (2007) 016 [ hep-ph/0612257 ].
32. 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 ].
33. T. Gehrmann and P.F. Monni, Antenna subtraction at NNLO with hadronic initial states: real-virtual initial-initial configurations, JHEP 12 (2011) 049 [ arXiv:1107.4037 ].
34. A. Gehrmann-De Ridder, T. Gehrmann and E.N. Glover, Antenna subtraction at NNLO, JHEP 09 (2005) 056 [ hep-ph/0505111 ]. (Pubitemid 41407932)
35. - → 3 jets at NNLO, JHEP 11 (2007) 058 [ arXiv:0710.0346 ].
36. A. Gehrmann-De Ridder, E. Glover and J. Pires, Real-virtual corrections for gluon scattering at NNLO, JHEP 02 (2012) 141 [ arXiv:1112.3613 ].
37. A. Gehrmann-De Ridder, T. Gehrmann and M. Ritzmann, Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations, JHEP 10 (2012) 047 [ arXiv:1207.5779 ].
38. E. Nigel Glover and J. Pires, Antenna subtraction for gluon scattering at NNLO, JHEP 06 (2010) 096 [ arXiv:1003.2824 ].
39. G. Abelof and A. Gehrmann-De Ridder, Antenna subtraction for the production of heavy particles at hadron colliders, JHEP 04 (2011) 063 [ arXiv:1102.2443 ].
40. G. Abelof and A. Gehrmann-De Ridder, Double real radiation corrections to t̄t production at the LHC: the gg → t̄tq̄q channel, JHEP 11 (2012) 074 [ arXiv:1207.6546 ].
41. W. Bernreuther, C. Bogner and O. Dekkers, The real radiation antenna function for S → Q̄Qq̄q at NNLO QCD,JHEP 06(2011) 032 [ arXiv:1105.0530 ].
42. A. Gehrmann-De Ridder and M. Ritzmann, NLO antenna subtraction with massive fermions, JHEP 07 (2009) 041 [ arXiv:0904.3297 ].
43. A. Gehrmann-De Ridder, T. Gehrmann and E.N. Glover, Gluon-gluon antenna functions from Higgs boson decay, Phys. Lett. B 612 (2005) 49 [ hep-ph/0502110 ].
44. A. Gehrmann-De Ridder, T. Gehrmann and E.N. Glover, Quark-gluon antenna functions from neutralino decay, Phys. Lett. B 612 (2005) 36 [ hep-ph/0501291 ].
45. K. Chetyrkin and F. Tkachov, Integration by parts: the algorithm to calculate β-functions in 4 loops, Nucl. Phys. B 192 (1981) 159.
46. F. Tkachov, A theorem on analytical calculability of four loop renormalization group functions, Phys. Lett. B 100 (1981) 65.
47. C. Anastasiou and K. Melnikov, Higgs boson production at hadron colliders in NNLO QCD, Nucl. Phys. B 646 (2002) 220 [ hep-ph/0207004 ].
48. S. Laporta, High precision calculation of multiloop Feynman integrals by difference equations, Int. J. Mod. Phys. A 15 (2000) 5087 [ hep-ph/0102033 ].
49. A. Smirnov, Algorithm FIRE - Feynman Integral REduction, JHEP 10 (2008) 107 [ arXiv:0807.3243 ].
50. T. Huber and D. MâItre, HypExp: a Mathematica package for expanding hypergeometric functions around integer-valued parameters, Comput. Phys. Commun. 175 (2006) 122 [ hep-ph/0507094 ].
51. E. Remiddi and J. Vermaseren, Harmonic polylogarithms, Int. J. Mod. Phys. A 15 (2000) 725 [ hep-ph/9905237 ].
52. M. Caffo, H. Czyz, S. Laporta and E. Remiddi, The master differential equations for the two loop sunrise selfmass amplitudes, Nuovo Cim. A 111 (1998) 365 [ hep-th/9805118 ].
53. M. Caffo, H. Czyz, S. Laporta and E. Remiddi, Master equations for master amplitudes, Acta Phys. Polon. B 29 (1998) 2627 [ hep-th/9807119 ].
54. T. Gehrmann and E. Remiddi, Differential equations for two loop four point functions, Nucl. Phys. B 580 (2000) 485 [ hep-ph/9912329 ].
55. A. Kotikov, Differential equations method: new technique for massive Feynman diagrams calculation, Phys. Lett. B 254 (1991) 158.
56. A. Kotikov, Differential equations method: the calculation of vertex type Feynman diagrams, Phys. Lett. B 259 (1991) 314.
57. A. Kotikov, Differential equation method: the calculation of N point Feynman diagrams, Phys. Lett. B 267 (1991) 123.
58. E. Remiddi, Differential equations for Feynman graph amplitudes, Nuovo Cim. A 110 (1997) 1435 [ hep-th/9711188 ].
59. T. Gehrmann and E. Remiddi, Using differential equations to compute two loop box integrals, Nucl. Phys. Proc. Suppl. 89 (2000) 251 [ hep-ph/0005232 ].
60. T. Gehrmann and E. Remiddi, Numerical evaluation of two-dimensional harmonic polylogarithms, Comput. Phys. Commun. 144 (2002) 200 [ hep-ph/0111255 ]. (Pubitemid 34222385)