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Soft function for exclusive N-jet production at hadron colliders

Teppo T. Jouttenus1, Iain W. Stewart1,2, Frank J. Tackmann1, and Wouter J. Waalewijn3

  • 1Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 2Center for the Fundamental Laws of Nature, Harvard University, Cambridge, Massachusetts 02138, USA
  • 3Department of Physics, University of California at San Diego, La Jolla, California 92093, USA

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Phys. Rev. D 83, 114030 – Published 14 June, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.114030

Abstract

The N-jettiness event shape divides phase space into N+2 regions, each containing one jet or beam. Using a geometric measure, these regions correspond to jets with circular boundaries. We give a factorization theorem for the cross section fully differential in the mass of each jet, and compute the corresponding soft function at next-to-leading order (NLO). The ultraviolet divergences are analytically extracted by exploiting hemispheres for interactions between each pair of hard partons, leaving only convergent integrals that are sensitive to the precise boundaries. This hemisphere decomposition can also be applied to other N-jet soft functions, including other observables. For N-jettiness, the final result for the soft function involves stable one-dimensional numerical integrals, and all ingredients are now available to extend NLO cross sections to resummed predictions at next-to-next-to-leading logarithmic order.

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References (54)

  1. CDF and D0 Collaboration, arXiv:1007.4587.
  2. C. W. Bauer, S. Fleming, and M. E. Luke, Phys. Rev. D 63, 014006 (2000).
  3. C. W. Bauer, S. Fleming, D. Pirjol, and I. W. Stewart, Phys. Rev. D 63, 114020 (2001).
  4. C. W. Bauer and I. W. Stewart, Phys. Lett. B 516, 134 (2001).
  5. C. W. Bauer, D. Pirjol, and I. W. Stewart, Phys. Rev. D 65, 054022 (2002).
  6. C. W. Bauer, S. Fleming, D. Pirjol, I. Z. Rothstein, and I. W. Stewart, Phys. Rev. D 66, 014017 (2002).
  7. C. W. Bauer, A. Hornig, and F. J. Tackmann, Phys. Rev. D 79, 114013 (2009).
  8. I. W. Stewart, F. J. Tackmann, and W. J. Waalewijn, Phys. Rev. D 81, 094035 (2010).
  9. J. C. Collins, D. E. Soper, and G. Sterman, Nucl. Phys. B308, 833 (1988).
  10. I. W. Stewart, F. J. Tackmann, and W. J. Waalewijn, Phys. Rev. Lett. 106, 032001 (2011).
  11. C. F. Berger, C. Marcantonini, I. W. Stewart, F. J. Tackmann, and W. J. Waalewijn, J. High Energy Phys. 04 (2011) 092.
  12. I. W. Stewart, F. J. Tackmann, and W. J. Waalewijn, Phys. Rev. Lett. 105, 092002 (2010).
  13. S. Fleming, A. K. Leibovich, and T. Mehen, Phys. Rev. D 74, 114004 (2006).
  14. S. Mantry and F. Petriello, Phys. Rev. D 81, 093007 (2010).
  15. T. Becher and M. Neubert, Phys. Lett. B 637, 251 (2006).
  16. T. Becher and G. Bell, Phys. Lett. B 695, 252 (2011).
  17. A. Banfi, G. P. Salam, and G. Zanderighi, J. High Energy Phys. 08 (2004) 062.
  18. A. Banfi, G. P. Salam, and G. Zanderighi, J. High Energy Phys. 06 (2010) 038.
  19. M. Dasgupta and G. P. Salam, Phys. Lett. B 512, 323 (2001).
  20. A. Banfi, G. Marchesini, and G. Smye, J. High Energy Phys. 08 (2002) 006.
  21. Y. L. Dokshitzer and G. Marchesini, J. High Energy Phys. 03 (2003) 040.
  22. A. Banfi, M. Dasgupta, K. Khelifa-Kerfa, and S. Marzani, J. High Energy Phys. 08 (2010) 064.
  23. S. D. Ellis, A. Hornig, C. Lee, C. K. Vermilion, and J. R. Walsh, Phys. Lett. B 689, 82 (2010).
  24. S. D. Ellis, C. K. Vermilion, J. R. Walsh, A. Hornig, and C. Lee, J. High Energy Phys. 11 (2010) 101.
  25. T. T. Jouttenus, Phys. Rev. D 81, 094017 (2010).
  26. J.-H. Kim, Phys. Rev. D 83, 011502(R) (2011).
  27. J. Thaler and K. Van Tilburg, J. High Energy Phys. 03 (2011) 015.
  28. J.-y. Chiu, R. Kelley, and A. V. Manohar, Phys. Rev. D 78, 073006 (2008).
  29. T. Becher and M. Neubert, J. High Energy Phys. 06 (2009) 081.
  30. G. P. Korchemsky and A. V. Radyushkin, Nucl. Phys. B283, 342 (1987).
  31. S. Mert Aybat, L. J. Dixon, and G. Sterman, Phys. Rev. D 74, 074004 (2006).
  32. E. Gardi and L. Magnea, J. High Energy Phys. 03 (2009) 079.
  33. T. Becher and M. Neubert, Phys. Rev. Lett. 102, 162001 (2009).
  34. L. J. Dixon, E. Gardi, and L. Magnea, J. High Energy Phys. 02 (2010) 081.
  35. I. W. Stewart, F. J. Tackmann, and W. J. Waalewijn, J. High Energy Phys. 09 (2010) 005.
  36. S. Fleming, A. H. Hoang, S. Mantry, and I. W. Stewart, Phys. Rev. D 77, 114003 (2008).
  37. M. D. Schwartz, Phys. Rev. D 77, 014026 (2008).
  38. A. V. Manohar, Phys. Rev. D 68, 114019 (2003).
  39. C. W. Bauer, C. Lee, A. V. Manohar, and M. B. Wise, Phys. Rev. D 70, 034014 (2004).
  40. A. Idilbi, X.-d. Ji, and F. Yuan, Phys. Lett. B 625, 253 (2005).
  41. T. Becher and M. D. Schwartz, J. High Energy Phys. 02 (2010) 040.
  42. J.-y. Chiu, A. Fuhrer, R. Kelley, and A. V. Manohar, Phys. Rev. D 80, 094013 (2009).
  43. R. Kelley and M. D. Schwartz, Phys. Rev. D 83, 045022 (2011).
  44. V. Ahrens, A. Ferroglia, M. Neubert, B. D. Pecjak, and L. L. Yang, J. High Energy Phys. 09 (2010) 097.
  45. M. Beneke, P. Falgari, and C. Schwinn, Nucl. Phys. B842, 414 (2011).
  46. J. R. Andersen et al. (SM and NLO Multileg Working Group Collaboration), arXiv:1003.1241.
  47. J. M. Campbell and R. K. Ellis, Phys. Rev. D 62, 114012 (2000).
  48. G. Ossola, C. G. Papadopoulos, and R. Pittau, J. High Energy Phys. 03 (2008) 042.
  49. C. Berger et al., Phys. Rev. D 78, 036003 (2008).
  50. R. Ellis, W. Giele, Z. Kunszt, K. Melnikov, and G. Zanderighi, J. High Energy Phys. 01 (2009) 012.
  51. A. Bredenstein, A. Denner, S. Dittmaier, and S. Pozzorini, Phys. Rev. Lett. 103, 012002 (2009).
  52. G. Bevilacqua, M. Czakon, C. G. Papadopoulos, R. Pittau, and M. Worek, J. High Energy Phys. 09 (2009) 109.
  53. P. Mastrolia, G. Ossola, T. Reiter, and F. Tramontano, J. High Energy Phys. 08 (2010) 080.
  54. G. Cullen et al., arXiv:1101.5595.

Outline

Information

Phys. Rev. D 83, 114030– Published 14 June, 2011
  • Received 5 March 2011
Article part of CHORUS

© 2011 American Physical Society

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