Advertisement

Top quark pair production beyond NNLO

  • Claudio Muselli
  • Marco Bonvini
  • Stefano Forte
  • Simone Marzani
  • Giovanni Ridolfi
Open Access
Regular Article - Theoretical Physics

Abstract

We construct an approximate expression for the total cross section for the production of a heavy quark-antiquark pair in hadronic collisions at next-to-next-to-next-to-leading order (N3LO) in αs. We use a technique which exploits the analyticity of the Mellin space cross section, and the information on its singularity structure coming from large N (soft gluon, Sudakov) and small N (high energy, BFKL) all order resummations, previously introduced and used in the case of Higgs production. We validate our method by comparing to available exact results up to NNLO. We find that N3LO corrections increase the predicted top pair cross section at the LHC by about 4% over the NNLO.

Keywords

QCD Phenomenology Hadronic Colliders 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

References

  1. [1]
    C. Anastasiou, C. Duhr, F. Dulat, F. Herzog and B. Mistlberger, Higgs boson gluon-fusion production in QCD at three loops, Phys. Rev. Lett. 114 (2015) 212001 [arXiv:1503.06056] [INSPIRE].ADSCrossRefGoogle Scholar
  2. [2]
    R.D. Ball, M. Bonvini, S. Forte, S. Marzani and G. Ridolfi, Higgs production in gluon fusion beyond NNLO, Nucl. Phys. B 874 (2013) 746 [arXiv:1303.3590] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  3. [3]
    M. Bonvini, R.D. Ball, S. Forte, S. Marzani and G. Ridolfi, Updated Higgs cross section at approximate N 3 LO, J. Phys. G 41 (2014) 095002 [arXiv:1404.3204] [INSPIRE].ADSCrossRefGoogle Scholar
  4. [4]
    M. Bonvini and S. Marzani, Resummed Higgs cross section at N 3 LL, JHEP 09 (2014) 007 [arXiv:1405.3654] [INSPIRE].ADSCrossRefGoogle Scholar
  5. [5]
    M. Krämer, E. Laenen and M. Spira, Soft gluon radiation in Higgs boson production at the LHC, Nucl. Phys. B 511 (1998) 523 [hep-ph/9611272] [INSPIRE].
  6. [6]
    P. Nason, S. Dawson and R.K. Ellis, The total cross-section for the production of heavy quarks in hadronic collisions, Nucl. Phys. B 303 (1988) 607 [INSPIRE].ADSCrossRefGoogle Scholar
  7. [7]
    M.L. Mangano, P. Nason and G. Ridolfi, Heavy quark correlations in hadron collisions at next-to-leading order, Nucl. Phys. B 373 (1992) 295 [INSPIRE].ADSCrossRefGoogle Scholar
  8. [8]
    M. Czakon and A. Mitov, Inclusive heavy flavor hadroproduction in NLO QCD: the exact analytic result, Nucl. Phys. B 824 (2010) 111 [arXiv:0811.4119] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  9. [9]
    P. Baernreuther, M. Czakon and A. Mitov, Progress in top-pair production at hadron colliders, arXiv:1206.0621.
  10. [10]
    M. Czakon and A. Mitov, NNLO corrections to top-pair production at hadron colliders: the all-fermionic scattering channels, JHEP 12 (2012) 054 [arXiv:1207.0236] [INSPIRE].ADSCrossRefGoogle Scholar
  11. [11]
    M. Czakon and A. Mitov, NNLO corrections to top pair production at hadron colliders: the quark-gluon reaction, JHEP 01 (2013) 080 [arXiv:1210.6832] [INSPIRE].ADSCrossRefGoogle Scholar
  12. [12]
    M. Czakon, P. Fiedler and A. Mitov, Total top-quark pair-production cross section at hadron colliders through O(α s4), Phys. Rev. Lett. 110 (2013) 252004 [arXiv:1303.6254] [INSPIRE].ADSCrossRefGoogle Scholar
  13. [13]
    S. Moch, P. Uwer and A. Vogt, On top-pair hadro-production at next-to-next-to-leading order, Phys. Lett. B 714 (2012) 48 [arXiv:1203.6282] [INSPIRE].ADSCrossRefGoogle Scholar
  14. [14]
    L.N. Lipatov, Reggeization of the vector meson and the vacuum singularity in nonabelian gauge theories, Sov. J. Nucl. Phys. 23 (1976) 338 [Yad. Fiz. 23 (1976) 642] [INSPIRE].
  15. [15]
    V.S. Fadin, E.A. Kuraev and L.N. Lipatov, On the Pomeranchuk singularity in asymptotically free theories, Phys. Lett. B 60 (1975) 50 [INSPIRE].ADSCrossRefGoogle Scholar
  16. [16]
    E.A. Kuraev, L.N. Lipatov and V.S. Fadin, Multi-reggeon processes in the Yang-Mills theory, Sov. Phys. JETP 44 (1976) 443 [Zh. Eksp. Teor. Fiz. 71 (1977) 840] [INSPIRE].
  17. [17]
    E.A. Kuraev, L.N. Lipatov and V.S. Fadin, The Pomeranchuk singularity in nonabelian gauge theories, Sov. Phys. JETP 45 (1977) 199 [Zh. Eksp. Teor. Fiz. 72 (1977) 377] [INSPIRE].
  18. [18]
    I.I. Balitsky and L.N. Lipatov, The Pomeranchuk Singularity in Quantum Chromodynamics, Sov. J. Nucl. Phys. 28 (1978) 822 [Yad. Fiz. 28 (1978) 1597] [INSPIRE].
  19. [19]
    M. Bonvini, S. Forte and G. Ridolfi, The threshold region for Higgs production in gluon fusion, Phys. Rev. Lett. 109 (2012) 102002 [arXiv:1204.5473] [INSPIRE].ADSCrossRefGoogle Scholar
  20. [20]
    V. Ahrens, A. Ferroglia, M. Neubert, B.D. Pecjak and L.L. Yang, Renormalization-group improved predictions for top-quark pair production at hadron colliders, JHEP 09 (2010) 097 [arXiv:1003.5827] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  21. [21]
    V. Ahrens, A. Ferroglia, M. Neubert, B.D. Pecjak and L.L. Yang, Precision predictions for the \( t+\overline{t} \) production cross section at hadron colliders, Phys. Lett. B 703 (2011) 135 [arXiv:1105.5824] [INSPIRE].ADSCrossRefGoogle Scholar
  22. [22]
    L.L. Yang, C.S. Li, J. Gao and J. Wang, NNLL momentum-space threshold resummation in direct top quark production at the LHC, JHEP 12 (2014) 123 [arXiv:1409.6959] [INSPIRE].ADSCrossRefGoogle Scholar
  23. [23]
    N. Kidonakis, Top quark production, arXiv:1311.0283.
  24. [24]
    N. Kidonakis and B.D. Pecjak, Top-quark production and QCD, Eur. Phys. J. C 72 (2012) 2084 [arXiv:1108.6063] [INSPIRE].ADSCrossRefGoogle Scholar
  25. [25]
    N. Kidonakis, E. Laenen, S. Moch and R. Vogt, Sudakov resummation and finite order expansions of heavy quark hadroproduction cross-sections, Phys. Rev. D 64 (2001) 114001 [hep-ph/0105041] [INSPIRE].
  26. [26]
    S. Catani, D. de Florian, M. Grazzini and P. Nason, Soft gluon resummation for Higgs boson production at hadron colliders, JHEP 07 (2003) 028 [hep-ph/0306211] [INSPIRE].
  27. [27]
    A. Vogt, S. Moch and J.A.M. Vermaseren, The three-loop splitting functions in QCD: the singlet case, Nucl. Phys. B 691 (2004) 129 [hep-ph/0404111] [INSPIRE].
  28. [28]
    H. Contopanagos, E. Laenen and G.F. Sterman, Sudakov factorization and resummation, Nucl. Phys. B 484 (1997) 303 [hep-ph/9604313] [INSPIRE].
  29. [29]
    S. Moch, J.A.M. Vermaseren and A. Vogt, Higher-order corrections in threshold resummation, Nucl. Phys. B 726 (2005) 317 [hep-ph/0506288] [INSPIRE].
  30. [30]
    S. Moch and A. Vogt, Higher-order soft corrections to lepton pair and Higgs boson production, Phys. Lett. B 631 (2005) 48 [hep-ph/0508265] [INSPIRE].
  31. [31]
    E. Laenen and L. Magnea, Threshold resummation for electroweak annihilation from DIS data, Phys. Lett. B 632 (2006) 270 [hep-ph/0508284] [INSPIRE].
  32. [32]
    M. Czakon, A. Mitov and G.F. Sterman, Threshold resummation for top-pair hadroproduction to next-to-next-to-leading log, Phys. Rev. D 80 (2009) 074017 [arXiv:0907.1790] [INSPIRE].ADSGoogle Scholar
  33. [33]
    M. Cacciari, M. Czakon, M. Mangano, A. Mitov and P. Nason, Top-pair production at hadron colliders with next-to-next-to-leading logarithmic soft-gluon resummation, Phys. Lett. B 710 (2012) 612 [arXiv:1111.5869] [INSPIRE].ADSCrossRefGoogle Scholar
  34. [34]
    V.S. Fadin, V.A. Khoze and T. Sjöstrand, On the threshold behavior of heavy top production, Z. Phys. C 48 (1990) 613 [INSPIRE].ADSGoogle Scholar
  35. [35]
    S. Frixione, M.L. Mangano, P. Nason and G. Ridolfi, Heavy quark production, Adv. Ser. Direct. High Energy Phys. 15 (1998) 609 [hep-ph/9702287] [INSPIRE].
  36. [36]
    M. Beneke, P. Falgari and C. Schwinn, Threshold resummation for pair production of coloured heavy (s)particles at hadron colliders, Nucl. Phys. B 842 (2011) 414 [arXiv:1007.5414] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  37. [37]
    R. Bonciani, S. Catani, M.L. Mangano and P. Nason, NLL resummation of the heavy quark hadroproduction cross-section, Nucl. Phys. B 529 (1998) 424 [Erratum ibid. B 803 (2008) 234] [hep-ph/9801375] [INSPIRE].
  38. [38]
    M. Beneke, A. Signer and V.A. Smirnov, Top quark production near threshold and the top quark mass, Phys. Lett. B 454 (1999) 137 [hep-ph/9903260] [INSPIRE].
  39. [39]
    M. Beneke, M. Czakon, P. Falgari, A. Mitov and C. Schwinn, Threshold expansion of the \( gg\left(q\overline{q}\right)\to Q\overline{Q}+X \) cross section at O(α s4), Phys. Lett. B 690 (2010) 483 [arXiv:0911.5166] [INSPIRE].ADSCrossRefGoogle Scholar
  40. [40]
    N. Brambilla, A. Pineda, J. Soto and A. Vairo, Potential NRQCD: an effective theory for heavy quarkonium, Nucl. Phys. B 566 (2000) 275 [hep-ph/9907240] [INSPIRE].
  41. [41]
    M. Beneke, P. Falgari, S. Klein and C. Schwinn, Hadronic top-quark pair production with NNLL threshold resummation, Nucl. Phys. B 855 (2012) 695 [arXiv:1109.1536] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  42. [42]
    A. Pineda and A. Signer, Heavy quark pair production near threshold with potential non-relativistic QCD, Nucl. Phys. B 762 (2007) 67 [hep-ph/0607239] [INSPIRE].
  43. [43]
    C. Muselli, Calcolo approssimato di coefficienti perturbativi ad alti ordini in QCD (in Italian), Master’s Thesis, Genova University, Genova, Italy (2014).Google Scholar
  44. [44]
    S. Catani, M. Ciafaloni and F. Hautmann, High-energy factorization and small x heavy flavor production, Nucl. Phys. B 366 (1991) 135 [INSPIRE].ADSCrossRefGoogle Scholar
  45. [45]
    R.D. Ball and S. Forte, The small x behavior of Altarelli-Parisi splitting functions, Phys. Lett. B 465 (1999) 271 [hep-ph/9906222] [INSPIRE].
  46. [46]
    G. Altarelli, R.D. Ball and S. Forte, Small x resummation with quarks: deep-inelastic scattering, Nucl. Phys. B 799 (2008) 199 [arXiv:0802.0032] [INSPIRE].ADSCrossRefGoogle Scholar
  47. [47]
    S. Catani, M. Ciafaloni and F. Hautmann, High-energy factorization in QCD and minimal subtraction scheme, Phys. Lett. B 307 (1993) 147 [INSPIRE].ADSCrossRefGoogle Scholar
  48. [48]
    G. Altarelli, R.D. Ball and S. Forte, Perturbatively stable resummed small x evolution kernels, Nucl. Phys. B 742 (2006) 1 [hep-ph/0512237] [INSPIRE].
  49. [49]
    R.D. Ball and R.K. Ellis, Heavy quark production at high-energy, JHEP 05 (2001) 053 [hep-ph/0101199] [INSPIRE].
  50. [50]
    R.D. Ball, Resummation of hadroproduction cross-sections at high energy, Nucl. Phys. B 796 (2008) 137 [arXiv:0708.1277] [INSPIRE].ADSCrossRefGoogle Scholar
  51. [51]
    M. Bonvini, S. Forte, G. Ridolfi and L. Rottoli, Resummation prescriptions and ambiguities in SCET vs. direct QCD: Higgs production as a case study, JHEP 01 (2015) 046 [arXiv:1409.0864] [INSPIRE].
  52. [52]
    NNPDF collaboration, R.D. Ball et al., Parton distributions for the LHC Run II, JHEP 04 (2015) 040 [arXiv:1410.8849] [INSPIRE].
  53. [53]
    M. Aliev, H. Lacker, U. Langenfeld, S. Moch, P. Uwer and M. Wiedermann, HATHOR: HAdronic Top and Heavy quarks crOss section calculatoR, Comput. Phys. Commun. 182 (2011) 1034 [arXiv:1007.1327] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  54. [54]
    M. Czakon, M.L. Mangano, A. Mitov and J. Rojo, Constraints on the gluon PDF from top quark pair production at hadron colliders, JHEP 07 (2013) 167 [arXiv:1303.7215] [INSPIRE].ADSCrossRefGoogle Scholar
  55. [55]
    N. Kidonakis, NNNLO soft-gluon corrections for the top-antitop pair production cross section, Phys. Rev. D 90 (2014) 014006 [arXiv:1405.7046] [INSPIRE].ADSGoogle Scholar
  56. [56]
    M. Bonvini, Resummation of soft and hard gluon radiation in perturbative QCD, arXiv:1212.0480 [INSPIRE].

Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Claudio Muselli
    • 1
  • Marco Bonvini
    • 2
  • Stefano Forte
    • 1
  • Simone Marzani
    • 3
  • Giovanni Ridolfi
    • 4
  1. 1.TIF Lab, Dipartimento di FisicaUniversità di Milano, and INFN — Sezione di MilanoMilanoItaly
  2. 2.Rudolf Peierls Centre for Theoretical PhysicsUniversity of OxfordOxfordUnited Kingdom
  3. 3.Center for Theoretical PhysicsMassachusetts Institute of TechnologyCambridgeUnited States
  4. 4.Dipartimento di FisicaUniversità di Genova and INFN — Sezione di GenovaGenovaItaly

Personalised recommendations