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The small x gluon and \(b\bar{b}\) production at the LHC

  • E. G. de Oliveira
  • A. D. MartinEmail author
  • M. G. Ryskin
Regular Article - Theoretical Physics

Abstract

We study open \(b\bar{b}\) production at large rapidity at the LHC in an attempt to pin down the gluon distribution at very low x. For the LHC energy of 7 TeV, at next-to-leading order (NLO), there is a large factorization scale uncertainty. We show that the uncertainty can be greatly reduced if events are selected in which the transverse momenta of the two B-mesons balance each other to some accuracy, that is |p 1T +p 2T |<k 0. This will fix the scale μ F k 0, and will allow the LHCb experiment, in particular, to study the x-behaviour of gluon distribution down to x∼10−5, at rather low scales, μ∼2 GeV. We evaluate the expected cross sections using, for illustrative purposes, various recent sets of Parton Distribution Functions.

Keywords

Transverse Momentum Gluon Distribution Soft Gluon DGLAP Evolution Unintegrated Parton Distribution 
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.

References

  1. 1.
    R. Aaij et al. (LHCb Collaboration), Phys. Lett. B 694, 209 (2010). arXiv:1009.2731 [hep-ex] ADSCrossRefGoogle Scholar
  2. 2.
    A.D. Martin, W.J. Stirling, R.S. Thorne, G. Watt, Eur. Phys. J. C 63, 189 (2009). arXiv:0901.0002 [hep-ph] ADSCrossRefGoogle Scholar
  3. 3.
    H.L. Lai, M. Guzzi, J. Huston, Z. Li, P.M. Nadolsky, J. Pumplin, C.P. Yuan, Phys. Rev. D, Part. Fields 82, 074024 (2010). arXiv:1007.2241 [hep-ph] ADSCrossRefGoogle Scholar
  4. 4.
    M. Cacciari, M. Greco, P. Nason, J. High Energy Phys. 9805, 007 (1998). arXiv:hep-ph/9803400 ADSCrossRefGoogle Scholar
  5. 5.
    M. Cacciari, S. Frixione, P. Nason, J. High Energy Phys. 0103, 006 (2001). arXiv:hep-ph/0102134 ADSCrossRefGoogle Scholar
  6. 6.
    E.M. Levin, G. Marchesini, M.G. Ryskin, B.R. Webber, Nucl. Phys. B 357, 167 (1991) ADSCrossRefGoogle Scholar
  7. 7.
    L.V. Gribov, E.M. Levin, M.G. Ryskin, Phys. Rep. 100, 1 (1983) ADSCrossRefGoogle Scholar
  8. 8.
    C. Peterson, D. Schlatter, I. Schmitt, P.M. Zerwas, Phys. Rev. D 27, 105 (1983) ADSCrossRefGoogle Scholar
  9. 9.
    V.G. Kartvelishvili, A.K. Likhoded, V.A. Petrov, Phys. Lett. B 78, 615 (1978) ADSCrossRefGoogle Scholar
  10. 10.
    M. Cacciari, P. Nason, Phys. Rev. Lett. 89, 122003 (2002). arXiv:hep-ph/0204025 ADSCrossRefGoogle Scholar
  11. 11.
    S. Frixione, G. Ridolfi, Nucl. Phys. B 507, 315 (1997) ADSCrossRefGoogle Scholar
  12. 12.
    J.M. Campbell, R.K. Ellis, C. Williams, MCFM home page, http://mcfm.fnal.gov
  13. 13.
    J.M. Campbell, R.K. Ellis, Phys. Rev. D 60, 113006 (1999). hep-ph/9905386 ADSCrossRefGoogle Scholar
  14. 14.
    J.M. Campbell, R.K. Ellis, C. Williams, arXiv:1105.0020 [hep-ph]
  15. 15.
    P. Nason, S. Dawson, R.K. Ellis, Nucl. Phys. B 327, 49 (1989). Erratum-ibid. B 335, 260 (1990) ADSCrossRefGoogle Scholar
  16. 16.
    R.K. Ellis, J.C. Sexton, Nucl. Phys. B 282, 642 (1987) ADSCrossRefGoogle Scholar
  17. 17.
    A.D. Martin, M.G. Ryskin, G. Watt, Eur. Phys. J. C 66, 163 (2010). arXiv:0909.5592 ADSCrossRefGoogle Scholar
  18. 18.
    W. Beenakker, W.L. van Neerven, R. Meng, G.A. Schuler, J. Smith, Nucl. Phys. B 351, 507 (1991) ADSCrossRefGoogle Scholar
  19. 19.
    H. Jung, M. Kraemer, A.V. Lipatov, N.P. Zotov, J. High Energy Phys. 1101, 085 (2011). arXiv:1009.5067 ADSCrossRefGoogle Scholar
  20. 20.
    R.D. Ball et al., Nucl. Phys. B 849, 296 (2011). arXiv:1101.1300 ADSCrossRefGoogle Scholar
  21. 21.
    F.D. Aaron et al. (H1 and ZEUS Collaboration), J. High Energy Phys. 1001, 109 (2010). arXiv:0911.0884 ADSCrossRefGoogle Scholar
  22. 22.
    M. Gluck, P. Jimenez-Delgado, E. Reya, Eur. Phys. J. C 53, 355 (2008). arXiv:0709.0614 ADSCrossRefGoogle Scholar
  23. 23.
    S. Alekhin, J. Blumlein, S. Klein, S. Moch, arXiv:0908.3128
  24. 24.
    S. Alekhin, J. Blumlein, S. Klein, S. Moch, Phys. Rev. D 81, 014032 (2010). arXiv:0908.2766 [hep-ph] ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2011

Authors and Affiliations

  • E. G. de Oliveira
    • 1
  • A. D. Martin
    • 1
    Email author
  • M. G. Ryskin
    • 1
    • 2
  1. 1.Institute for Particle Physics PhenomenologyUniversity of DurhamDurhamUK
  2. 2.Petersburg Nuclear Physics InstituteGatchina, St. PetersburgRussia

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