Advertisement

Top- and bottom-mass effects in hadronic Higgs production at small transverse momenta through lo+nll

  • Hendrik Mantler
  • Marius Wiesemann
Regular Article - Theoretical Physics

Abstract

The resummed transverse momentum distribution of the Higgs boson in gluon fusion through lo+nll for small transverse momenta is considered, where the Higgs is produced through a top- and bottom-quark loop. We study the mass effects with respect to the infinite top-mass approach. The top-mass effects are small and the heavy-top limit is valid to better than 4.5 % as long as the Higgs’ transverse momentum stays below 150 GeV. When the bottom loop is considered as well, the discrepancy reaches up to about 10 %. We conclude that bottom-mass effects cannot be included in a reasonable manner by a naive reweighting procedure in the heavy-top limit. We compare our results to an earlier, alternative approach based on POWHEG.

Keywords

Higgs Boson Transverse Momentum Transverse Momentum Distribution Small Transverse Momentum Gluon Fusion Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

We would like to thank Robert Harlander and Anurag Tripathi for fruitful discussion and enlightening comments, and the authors of Ref. [16] and Stefano Frixione for helpful communication. This work was supported by bmbf contracts 05H09PXE and 05H12PXE, and the Helmholtz Alliance “Physics at the Terascale”.

References

  1. 1.
    CMS Collaboration, Phys. Lett. B 716, 30–61 (2012) ADSCrossRefGoogle Scholar
  2. 2.
    ATLAS Collaboration, Phys. Lett. B 716, 1–29 (2012) ADSCrossRefGoogle Scholar
  3. 3.
    S. Dittmaier et al., arXiv:1101.0593
  4. 4.
    S. Dittmaier et al. arXiv:1201.3084
  5. 5.
    R.V. Harlander, W.B. Kilgore, Phys. Rev. Lett. 88, 201801 (2002) ADSCrossRefGoogle Scholar
  6. 6.
    C. Anastasiou, K. Melnikov, Nucl. Phys. B 646, 220–256 (2002) ADSCrossRefGoogle Scholar
  7. 7.
    V. Ravindran, J. Smith, W. van Neerven, Nucl. Phys. B 665, 325–366 (2003) ADSCrossRefGoogle Scholar
  8. 8.
    S. Marzani, R.D. Ball, V. Del Duca, S. Forte, A. Vicini, Nucl. Phys. B 800, 127–145 (2008) ADSMATHCrossRefGoogle Scholar
  9. 9.
    R.V. Harlander, K.J. Ozeren, J. High Energy Phys. 0911, 088 (2009) ADSCrossRefGoogle Scholar
  10. 10.
    R.V. Harlander, H. Mantler, S. Marzani, K.J. Ozeren, Eur. Phys. J. C 66, 359–372 (2010) ADSCrossRefGoogle Scholar
  11. 11.
    A. Pak, M. Rogal, M. Steinhauser, Phys. Lett. B 679, 473–477 (2009) ADSCrossRefGoogle Scholar
  12. 12.
    A. Pak, M. Rogal, M. Steinhauser, J. High Energy Phys. 1002, 025 (2010) ADSCrossRefGoogle Scholar
  13. 13.
    R.V. Harlander, T. Neumann, K.J. Ozeren, M. Wiesemann, J. High Energy Phys. 1208, 139 (2012) ADSCrossRefGoogle Scholar
  14. 14.
    V. Del Duca, W. Kilgore, C. Oleari, C. Schmidt, D. Zeppenfeld, Nucl. Phys. B 616, 367–399 (2001) ADSCrossRefGoogle Scholar
  15. 15.
    J. Alwall, Q. Li, F. Maltoni, Phys. Rev. D 85, 014031 (2012) ADSCrossRefGoogle Scholar
  16. 16.
    E. Bagnaschi, G. Degrassi, P. Slavich, A. Vicini, J. High Energy Phys. 1202, 088 (2012) ADSCrossRefGoogle Scholar
  17. 17.
    R. Harlander, Eur. Phys. J. C 33, S454–S456 (2004) ADSCrossRefGoogle Scholar
  18. 18.
    D. de Florian, M. Grazzini, Phys. Lett. B 674, 291–294 (2009) ADSCrossRefGoogle Scholar
  19. 19.
    C. Anastasiou, R. Boughezal, F. Petriello, J. High Energy Phys. 1006, 101 (2010) ADSCrossRefGoogle Scholar
  20. 20.
    J. Baglio, A. Djouadi, J. High Energy Phys. 1010, 064 (2010) ADSCrossRefGoogle Scholar
  21. 21.
    J. Baglio, A. Djouadi, J. High Energy Phys. 1103, 055 (2011) ADSCrossRefGoogle Scholar
  22. 22.
    M. Spira, A. Djouadi, D. Graudenz, R. Zerwas, Nucl. Phys. B 453, 17–82 (1995) ADSCrossRefGoogle Scholar
  23. 23.
    S. Alioli, P. Nason, C. Oleari, E. Re, J. High Energy Phys. 0904, 002 (2009) ADSCrossRefGoogle Scholar
  24. 24.
    S. Alioli, P. Nason, C. Oleari, E. Re, J. High Energy Phys. 1006, 043 (2010) ADSCrossRefGoogle Scholar
  25. 25.
    D. de Florian, M. Grazzini, Z. Kunszt, Phys. Rev. Lett. 82, 5209–5212 (1999) ADSCrossRefGoogle Scholar
  26. 26.
    V. Ravindran, J. Smith, W. van Neerven, Nucl. Phys. B 634, 247–290 (2002) ADSCrossRefGoogle Scholar
  27. 27.
    C.J. Glosser, C.R. Schmidt, J. High Energy Phys. 0212, 016 (2002) ADSCrossRefGoogle Scholar
  28. 28.
    C. Anastasiou, K. Melnikov, F. Petriello, Phys. Rev. Lett. 93, 262002 (2004) ADSCrossRefGoogle Scholar
  29. 29.
    S. Catani, M. Grazzini, Phys. Rev. Lett. 98, 222002 (2007) ADSCrossRefGoogle Scholar
  30. 30.
    S. Catani, E. D’Emilio, L. Trentadue, Phys. Lett. B 211, 335–342 (1988) ADSCrossRefGoogle Scholar
  31. 31.
    C.-P. Yuan, Phys. Lett. B 283, 395–402 (1992) ADSCrossRefGoogle Scholar
  32. 32.
    R. Kauffman, Phys. Rev. D 45, 1512–1517 (1992) MathSciNetADSCrossRefGoogle Scholar
  33. 33.
    G. Bozzi, S. Catani, D. de Florian, M. Grazzini, Phys. Lett. B 564, 65–72 (2003) ADSCrossRefGoogle Scholar
  34. 34.
    G. Bozzi, S. Catani, D. de Florian, M. Grazzini, Nucl. Phys. B 737, 73–120 (2006) ADSMATHCrossRefGoogle Scholar
  35. 35.
    D. Florian, G. Ferrera, M. Grazzini, D. Tommasini, J. High Energy Phys. 1111, 064 (2011) CrossRefGoogle Scholar
  36. 36.
    D. Florian, G. Ferrera, M. Grazzini, D. Tommasini, J. High Energy Phys. 1206, 132 (2012) ADSCrossRefGoogle Scholar
  37. 37.
    Y. Dokshitzer, D. Dyakonov, S. Troyan, Phys. Rep. 58, 269–395 (1980) ADSCrossRefGoogle Scholar
  38. 38.
    G. Parisi, R. Petronzio, Nucl. Phys. B 154, 427–440 (1979) ADSCrossRefGoogle Scholar
  39. 39.
    G. Curci, M. Greco, Y. Srivastava, Nucl. Phys. B 159, 451–468 (1979) ADSCrossRefGoogle Scholar
  40. 40.
    J.C. Collins, D.E. Soper, Nucl. Phys. B 193, 381–443 (1981) ADSCrossRefGoogle Scholar
  41. 41.
    J.C. Collins, D.E. Soper, Nucl. Phys. B 197, 446–476 (1982) ADSCrossRefGoogle Scholar
  42. 42.
    J. Kodaira, L. Trentadue, Phys. Lett. B 112, 66–70 (1982) ADSCrossRefGoogle Scholar
  43. 43.
    C. Davies, W. Stirling, Nucl. Phys. B 244, 337–348 (1984) ADSCrossRefGoogle Scholar
  44. 44.
    G. Altarelli, R. Ellis, M. Greco, G. Martinelli, Nucl. Phys. B 246, 12–44 (1984) ADSCrossRefGoogle Scholar
  45. 45.
    J. Collins, D.E. Soper, G. Sterman, Nucl. Phys. B 250, 199–224 (1985) ADSCrossRefGoogle Scholar
  46. 46.
    S. Catani, M. Grazzini, Eur. Phys. J. C 72, 2013 (2012) ADSCrossRefGoogle Scholar
  47. 47.
    S. Catani, M. Grazzini, Nucl. Phys. B 845, 297–323 (2011) ADSMATHCrossRefGoogle Scholar
  48. 48.
    S. Catani, D. de Florian, M. Grazzini, Nucl. Phys. B 596, 299–312 (2001) ADSMATHCrossRefGoogle Scholar
  49. 49.
    D. de Florian, M. Grazzini, Nucl. Phys. B 616, 247–285 (2001) ADSCrossRefGoogle Scholar
  50. 50.
    R.V. Harlander, P. Kant, J. High Energy Phys. 0512, 015 (2005) ADSCrossRefGoogle Scholar
  51. 51.
    U. Aglietti, R. Bonciani, G. Degrassi, A. Vicini, J. High Energy Phys. 0701, 021 (2007) ADSCrossRefGoogle Scholar
  52. 52.
    C. Anastasiou, S. Beerli, S. Bucherer, A. Daleo, Z. Kunszt, J. High Energy Phys. 0701, 082 (2007) ADSCrossRefGoogle Scholar
  53. 53.
    M. Mühlleitner, M. Spira, Nucl. Phys. B 790, 1–27 (2008) ADSCrossRefGoogle Scholar
  54. 54.
    R. Bonciani, G. Degrassi, A. Vicini, J. High Energy Phys. 0711, 095 (2007) ADSCrossRefGoogle Scholar
  55. 55.
    R.V. Harlander, F. Hofmann, H. Mantler, J. High Energy Phys. 1102, 055 (2011) ADSCrossRefGoogle Scholar
  56. 56.
    H.M. Georgi, S.L. Glashow, M.E. Machacek, D.V. Nanopoulos, Phys. Rev. Lett. 40, 692–694 (1978) ADSCrossRefGoogle Scholar
  57. 57.
    R. Ellis, I. Hinchliffe, M. Soldate, J. Van Der Bij, Nucl. Phys. B 297, 221–243 (1988) ADSCrossRefGoogle Scholar
  58. 58.
    A.D. Martin, W.J. Stirling, R.S. Thorne, G. Watt, Eur. Phys. J. C 63, 189–285 (2009) ADSCrossRefGoogle Scholar
  59. 59.
    T. Sjöstrand, S. Mrenna, P. Skands, J. High Energy Phys. 0605, 026 (2006) ADSCrossRefGoogle Scholar
  60. 60.
    T. Sjöstrand, S. Mrenna, P. Skands, Comput. Phys. Commun. 178, 852–867 (2008) ADSMATHCrossRefGoogle Scholar
  61. 61.
    S. Frixione, private communication Google Scholar
  62. 62.
    S. Frixione, B.R. Webber, J. High Energy Phys. 0206, 029 (2002) ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2013

Authors and Affiliations

  1. 1.Fachbereich CBergische Universität WuppertalWuppertalGermany

Personalised recommendations