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Dynamical parton distributions of the nucleon and very small-x physics

  • Regular Article - Theoretical Physics
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Abstract

Utilizing recent DIS measurements (F2,L) and data on dilepton and high-ET jet production we determine the dynamical parton distributions of the nucleon generated radiatively from valence-like positive input distributions at optimally chosen low resolution scales. These are compared with ‘standard’ distributions generated from positive input distributions at some fixed and higher resolution scale. It is shown that up to the next-to-leading order NLO(\(\overline{\text{MS}}\), DIS) of perturbative QCD considered in this paper, the uncertainties of the dynamical distributions are, as expected, smaller than those of their standard counterparts. This holds true in particular in the presently unexplored extremely small-x region relevant for evaluating ultrahigh energy cross sections in astrophysical applications. It is noted that our new dynamical distributions are compatible, within the presently determined uncertainties, with previously determined dynamical parton distributions.

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References

  1. CTEQ Collaboration, H.L. Lai et al., Eur. Phys. J. C 12, 375 (2000)

    Article  ADS  Google Scholar 

  2. CTEQ Collaboration, J. Pumplin et al., JHEP 07, 012 (2002)

    Article  ADS  Google Scholar 

  3. A.D. Martin, R.G. Roberts, W.J. Stirling, R.S. Thorne, Eur. Phys. J. C 23, 73 (2002)

    Article  ADS  Google Scholar 

  4. ZEUS Collaboration, J. Breitweg et al., Eur. Phys. J. C 7, 609 (1999)

    Article  ADS  Google Scholar 

  5. ZEUS Collaboration, S. Chekanov et al., Phys. Rev. D 67, 012007 (2003)

    Article  ADS  Google Scholar 

  6. M. Glück, E. Reya, A. Vogt, Z. Phys. C 53, 127 (1992)

    Article  ADS  Google Scholar 

  7. M. Glück, E. Reya, A. Vogt, Phys. Lett. B 306, 391 (1993)

    Article  ADS  Google Scholar 

  8. M. Glück, E. Reya, A. Vogt, Z. Phys. C 67, 433 (1995)

    Article  ADS  Google Scholar 

  9. M. Glück, E. Reya, A. Vogt, Eur. Phys. J. C 5, 461 (1998)

    Article  ADS  Google Scholar 

  10. M. Glück, E. Reya, A. Vogt, Z. Phys. C 48, 471 (1990)

    Article  Google Scholar 

  11. H1 Collaboration, I. Abt et al., Nucl. Phys. B 407, 515 (1993)

    Article  ADS  Google Scholar 

  12. ZEUS Collaboration, M. Derrick et al., Phys. Lett. B 316, 412 (1993)

    Article  ADS  Google Scholar 

  13. M. Glück, S. Kretzer, E. Reya, Astropart. Phys. 11, 327 (1999)

    Article  ADS  Google Scholar 

  14. J.G. Learned, K. Mannheim, Ann. Rev. Nucl. Part. Sci. 50, 679 (2000)

    Article  ADS  Google Scholar 

  15. P. Bhattacharjee, G. Sigl, Phys. Rep. 327, 109 (2000)

    Article  ADS  Google Scholar 

  16. F. Halzen, Phys. Rep. 333, 349 (2000)

    Article  ADS  Google Scholar 

  17. F. Halzen, Eur. Phys. J. C 46, 669 (2006)

    Article  ADS  Google Scholar 

  18. D. Diakonov et al., Nucl. Phys. B 480, 341 (1996)

    Article  ADS  Google Scholar 

  19. D. Diakonov et al., Phys. Rev. D 56, 4069 (1997)

    Article  ADS  Google Scholar 

  20. K. Goeke et al., Acta Phys. Pol. B 32, 1201 (2001)

    ADS  Google Scholar 

  21. H. Weigel, L. Gamberg, H. Reinhardt, Phys. Lett. B 399, 287 (1997)

    Article  ADS  Google Scholar 

  22. M. Wakamatsu, T. Kubota, Phys. Rev. D 60, 034020 (1999)

    Article  ADS  Google Scholar 

  23. M. Wakamatsu, Phys. Rev. D 67, 034005 (2003)

    Article  ADS  Google Scholar 

  24. M. Wakamatsu, Phys. Lett. B 646, 24 (2007)

    Article  ADS  Google Scholar 

  25. C. Bourrely, J. Soffer, F. Bucella, Eur. Phys. J. C 23, 487 (2002)

    Article  ADS  Google Scholar 

  26. C. Bourrely, J. Soffer, F. Bucella, Eur. Phys. J. C 41, 327 (2005)

    Article  ADS  Google Scholar 

  27. R.S. Bhalerao, Phys. Lett. B 380, 1 (1996)

    Article  ADS  Google Scholar 

  28. R.S. Bhalerao, Phys. Rev. C 63, 025208 (2001)

    Article  ADS  Google Scholar 

  29. R.S. Bhalerao, N.G. Kelkar, B. Ram, Phys. Lett. B 476, 285 (2000)

    Article  ADS  Google Scholar 

  30. Y.-J. Zhang, B.-S. Zou, Phys. Lett. B 528, 228 (2002)

    Article  ADS  Google Scholar 

  31. G. Altarelli, R.K. Ellis, G. Martinelli, Nucl. Phys. B 143, 521 (1978) [Erratum ibid. 146, 544 (1978)]

    Article  ADS  Google Scholar 

  32. G. Altarelli, R.K. Ellis, G. Martinelli, Nucl. Phys. B 157, 461 (1979)

    Article  ADS  Google Scholar 

  33. M. Glück, E. Reya, Mod. Phys. Lett. A 22, 351 (2007)

    Article  ADS  Google Scholar 

  34. H1 Collaboration, C. Adloff et al., Eur. Phys. J. C 13, 609 (2000)

    Article  ADS  Google Scholar 

  35. H1 Collaboration, C. Adloff et al., Eur. Phys. J. C 19, 269 (2001)

    Article  ADS  Google Scholar 

  36. H1 Collaboration, C. Adloff et al., Eur. Phys. J. C 21, 33 (2001)

    Article  ADS  Google Scholar 

  37. H1 Collaboration, C. Adloff et al., Eur. Phys. J. C 30, 1 (2003)

    Article  ADS  Google Scholar 

  38. ZEUS Collaboration, S. Chekanov et al., Eur. Phys. J. C 21, 443 (2001)

    Article  ADS  Google Scholar 

  39. M. Klein, T. Riemann, Z. Phys. C 24, 151 (1984)

    Article  ADS  Google Scholar 

  40. L.W. Whitlow et al., Phys. Lett. B 282, 475 (1992)

    Article  ADS  Google Scholar 

  41. BCDMS Collaboration, A.C. Benvenuti et al., Phys. Lett. B 223, 485 (1989)

    Article  ADS  Google Scholar 

  42. E665 Collaboration, M.R. Adams et al., Phys. Rev. D 54, 3006 (1996)

    Article  ADS  Google Scholar 

  43. NMC Collaboration, M. Arneodo et al., Nucl. Phys. B 483, 3 (1997)

    Article  ADS  Google Scholar 

  44. BCDMS Collaboration, A.C. Benvenuti et al., Phys. Lett. B 237, 599 (1990)

    Article  ADS  Google Scholar 

  45. E665 Collaboration, M.R. Adams et al., Phys. Rev. Lett. 75, 1466 (1995)

    Article  ADS  Google Scholar 

  46. NMC Collaboration, M. Arneodo et al., Nucl. Phys. B 487, 3 (1997)

    Article  ADS  Google Scholar 

  47. ZEUS Collaboration, S. Chekanov et al., Phys. Rev. D 69, 012004 (2004)

    Article  ADS  Google Scholar 

  48. H1 Collaboration, C. Adloff et al., Phys. Lett. B 528, 199 (2002)

    Article  ADS  Google Scholar 

  49. H1 Collaboration, A. Aktas et al., Eur. Phys. J. C 40, 349 (2005)

    Article  ADS  Google Scholar 

  50. H1 Collaboration, A. Aktas et al., Eur. Phys. J. C 45, 23 (2006)

    Article  ADS  Google Scholar 

  51. E866/NuSea Collaboration, J. Webb, P.E. Reimer, hep-ex/0302019 (private communication)

  52. E866/NuSea Collaboration, R.S. Towell et al., Phys. Rev. D 64, 052002 (2001)

    Article  ADS  Google Scholar 

  53. P.J. Sutton et al., Phys. Rev. D 45, 2349 (1992)

    Article  ADS  Google Scholar 

  54. W. Furmanski, R. Petronzio, Z. Phys. C 11, 293 (1982)

    Article  ADS  Google Scholar 

  55. M. Glück, E. Reya, A. Vogt, Phys. Lett. B 285, 285 (1992)

    Article  ADS  Google Scholar 

  56. D0 Collaboration, B. Abbott et al., Phys. Rev. Lett. 86, 1707 (2001)

    Article  ADS  Google Scholar 

  57. CDF Collaboration, A. Abulencia et al., Phys. Rev. D 74, 071103 (2006)

    Article  ADS  Google Scholar 

  58. T. Kluge, K. Rabbertz, M. Wobisch, fastNLO, hep-ph/0609289

  59. E.B. Zijlstra, W.L. van Neerven, Nucl. Phys. B 383, 525 (1992)

    Article  ADS  Google Scholar 

  60. S. Moch, J.A.M. Vermaseren, A. Vogt, Phys. Lett. B 606, 123 (2005)

    Article  ADS  Google Scholar 

  61. E. Laenen et al., Nucl. Phys. B 392, 162 (1993)

    Article  ADS  Google Scholar 

  62. S. Riemersma, J. Smith, W.L. van Neerven, Phys. Lett. B 347, 143 (1995)

    Article  ADS  Google Scholar 

  63. M. Glück, E. Reya, M. Stratmann, Nucl. Phys. B 422, 37 (1994)

    Article  ADS  Google Scholar 

  64. A. Vogt, DESY 96-012, Proc. of DIS ’96, Rome, April 1996, ed. by G. D’Agostini, A. Nigro (World Scientific, 1997) p. 254 [hep-ph/9601352]

  65. J.P. Leveille, T. Weiler, Nucl. Phys. B 147, 147 (1979)

    Article  ADS  Google Scholar 

  66. M. Glück, R.M. Godbole, E. Reya, Z. Phys. C 38, 441 (1988) [Erratum ibid. 39, 590 (1988)]

    Article  ADS  Google Scholar 

  67. A.D. Martin et al., Eur. Phys. J. C 28, 455 (2003)

    Article  ADS  Google Scholar 

  68. J. Pumplin et al., Phys. Rev. D 65, 014013 (2002)

    Article  ADS  Google Scholar 

  69. J. Pumplin, D.R. Stump, W.K. Tung, Phys. Rev. D 65, 014011 (2002)

    Article  ADS  Google Scholar 

  70. J. Blümlein, DIS 2007 (Munich, April 2007), arXiv:0706.2430

  71. A. Vogt, DIS 2007 (Munich, April 2007), arXiv:0707.4106 and references therein

  72. P.E. Reimer, arXiv:0704.3621

  73. A.D. Martin, W.J. Stirling, R.S. Thorne, Phys. Lett. B 635, 305 (2006)

    Article  ADS  Google Scholar 

  74. H1 Collaboration, E.M. Lobodzinska, DIS 2004 (Strbske Pleso, Slovakia) [hep-ph/0311180]

  75. T. Lastovicka, Eur. Phys. J. C 33, s388 (2004)

    Article  ADS  Google Scholar 

  76. G.M. Frichter, D.W. McKay, J.P. Ralston, Phys. Rev. Lett. 74, 1508 (1995) [Erratum ibid. 77, 4107 (1996)]

    Article  ADS  Google Scholar 

  77. R. Gandhi, C. Quigg, M.H. Reno, I. Sarcevic, Astropart. Phys. 5, 81 (1996)

    Article  ADS  Google Scholar 

  78. R. Gandhi, C. Quigg, M.H. Reno, I. Sarcevic, Phys. Rev. D 58, 093009 (1998)

    Article  ADS  Google Scholar 

  79. K.S. Capelle, J.W. Cronin, G. Parente, E. Zas, Astropart. Phys. 8, 321 (1998)

    Article  ADS  Google Scholar 

  80. J.L. Feng, P. Fisher, F. Wilczek, T.M. Yu, Phys. Rev. Lett. 88, 161102 (2002)

    Article  ADS  Google Scholar 

  81. K. Giesel, J.-H. Jureit, E. Reya, Astropart. Phys. 20, 335 (2003)

    Article  ADS  Google Scholar 

  82. CTEQ Collaboration, W.K. Tung et al., JHEP 02, 053 (2007)

    Article  ADS  Google Scholar 

  83. E.L. Berger, M.M. Block, C.-I. Tan, Phys. Rev. Lett. 98, 242001 (2007)

    Article  ADS  Google Scholar 

  84. M. Glück, C. Pisano, E. Reya, Eur. Phys. J. C 50, 29 (2007)

    Article  ADS  Google Scholar 

  85. J. Pumplin, DIS 05 (Madison, April 2005) [hep-ph/0507093]

  86. J. Huston et al., JHEP 06, 080 (2005)

    Article  ADS  Google Scholar 

Download references

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Glück, M., Jimenez-Delgado, P. & Reya, E. Dynamical parton distributions of the nucleon and very small-x physics. Eur. Phys. J. C 53, 355–366 (2008). https://doi.org/10.1140/epjc/s10052-007-0462-9

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  • DOI: https://doi.org/10.1140/epjc/s10052-007-0462-9

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