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Long-range rapidity correlations in soft interactions at high energies

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Abstract

In this paper we take the next step (following the successful description of inclusive hadron production) in describing the structure of the bias events without the aid of Monte Carlo codes. Two new results are presented: (i) a method for calculating the two particle correlation functions in the BFKL pomeron calculus in zero transverse dimension; and (ii) an estimation of the values of these correlations in a model of soft interactions. Comparison with the multiplicity data at the LHC is given.

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Notes

  1. We suppress the notation of the impact parameter, which if needed can be easily be replaced.

  2. We thank our referee who drew our attention to these data.

References

  1. M.A. Braun, Phys. Lett. B 632, 297 (2006). arXiv:hep-ph/0512057

    Article  ADS  Google Scholar 

  2. M.A. Braun, Eur. Phys. J. C 16, 337 (2000). arXiv:hep-ph/0001268

    Article  ADS  Google Scholar 

  3. M.A. Braun, Phys. Lett. B 483, 115 (2000). arXiv:hep-ph/0003004

    Article  ADS  Google Scholar 

  4. M.A. Braun, Eur. Phys. J. C 33, 113 (2004). arXiv:hep-ph/0309293

    Article  ADS  Google Scholar 

  5. M.A. Braun, Eur. Phys. J. C 6, 321 (1999). arXiv:hep-ph/9706373

    ADS  Google Scholar 

  6. M.A. Braun, G.P. Vacca, Eur. Phys. J. C 6, 147 (1999). arXiv:hep-ph/9711486

    ADS  Google Scholar 

  7. F.E. Low, Phys. Rev. D 12, 163 (1975)

    Article  ADS  Google Scholar 

  8. S. Nussinov, Phys. Rev. Lett. 34, 1286 (1975)

    Article  ADS  Google Scholar 

  9. E.A. Kuraev, L.N. Lipatov, F.S. Fadin, Sov. Phys. JETP 45, 199 (1977)

    ADS  MathSciNet  Google Scholar 

  10. Ya.Ya. Balitsky, L.N. Lipatov, Sov. J. Nucl. Phys. 28, 22 (1978)

    Google Scholar 

  11. A.H. Mueller, Nucl. Phys. B 415, 373 (1994)

    Article  ADS  Google Scholar 

  12. A.H. Mueller, Nucl. Phys. B 437, 107 (1995)

    Article  ADS  Google Scholar 

  13. L.V. Gribov, E.M. Levin, M.G. Ryskin, Phys. Rep. 100, 1 (1983)

    Article  ADS  Google Scholar 

  14. A.H. Mueller, J. Qiu, Nucl. Phys. B 427, 268 (1986)

    Google Scholar 

  15. L. McLerran, R. Venugopalan, Phys. Rev. D 49, 2233, 3352 (1994)

    Article  ADS  Google Scholar 

  16. L. McLerran, R. Venugopalan, Phys. Rev. D 50, 2225 (1994)

    Article  ADS  Google Scholar 

  17. L. McLerran, R. Venugopalan, Phys. Rev. D 53, 458 (1996)

    Article  ADS  Google Scholar 

  18. L. McLerran, R. Venugopalan, Phys. Rev. D 59, 09400 (1999)

    Article  Google Scholar 

  19. L.N. Lipatov, Phys. Rep. 286, 131 (1997). arXiv:hep-ph/9610276

    Article  ADS  Google Scholar 

  20. L.N. Lipatov, Sov. Phys. JETP 63, 904 (1986) and references therein

    Google Scholar 

  21. J. Bartels, K. Kutak, Eur. Phys. J. C 53, 533 (2008). arXiv:0710.3060 [hep-ph]

    Article  ADS  Google Scholar 

  22. J. Bartels, M. Braun, G.P. Vacca, Eur. Phys. J. C 40, 419 (2005). arXiv:hep-ph/0412218

    Article  ADS  Google Scholar 

  23. J. Bartels, C. Ewerz, J. High Energy Phys. 9909, 026 (1999). arXiv:hep-ph/9908454

    Article  ADS  Google Scholar 

  24. J. Bartels, M. Wusthoff, Z. Phys. C 6, 157 (1995)

    Article  ADS  Google Scholar 

  25. A.H. Mueller, B. Patel, Nucl. Phys. B 425, 471 (1994). arXiv:hep-ph/9403256

    Article  ADS  Google Scholar 

  26. J. Bartels, Z. Phys. C 60, 471 (1993)

    ADS  Google Scholar 

  27. A.H. Mueller, Nucl. Phys. B 415, 373 (1994)

    Article  ADS  Google Scholar 

  28. A.H. Mueller, Nucl. Phys. B 437, 107 (1995)

    Article  ADS  Google Scholar 

  29. I. Balitsky, arXiv:hep-ph/9509348

  30. I. Balitsky, Phys. Rev. D 60, 014020 (1999). arXiv:hep-ph/9812311

    Article  ADS  Google Scholar 

  31. Y.V. Kovchegov, Phys. Rev. D 60, 034008 (1999). arXiv:hep-ph/9901281

    Article  ADS  Google Scholar 

  32. Y.V. Kovchegov, E. Levin, Nucl. Phys. B 577, 221 (2000). hep-ph/9911523

    Article  ADS  Google Scholar 

  33. J. Jalilian-Marian, A. Kovner, A. Leonidov, H. Weigert, Phys. Rev. D 59, 014014 (1999). arXiv:hep-ph/9706377

    Article  ADS  Google Scholar 

  34. J. Jalilian-Marian, A. Kovner, A. Leonidov, H. Weigert, Nucl. Phys. B 504, 415 (1997). arXiv:hep-ph/9701284

    Article  ADS  Google Scholar 

  35. J. Jalilian-Marian, A. Kovner, H. Weigert, Phys. Rev. D 59, 014015 (1999). arXiv:hep-ph/9709432

    Article  ADS  Google Scholar 

  36. A. Kovner, J.G. Milhano, H. Weigert, Phys. Rev. D 62, 114005 (2000). arXiv:hep-ph/0004014

    Article  ADS  Google Scholar 

  37. E. Iancu, A. Leonidov, L.D. McLerran, Phys. Lett. B 510, 133 (2001)

    Article  ADS  MATH  Google Scholar 

  38. E. Iancu, A. Leonidov, L.D. McLerran, arXiv:hep-ph/0102009

  39. E. Iancu, A. Leonidov, L.D. McLerran, Nucl. Phys. A 692, 583 (2001). arXiv:hep-ph/0011241

    Article  ADS  MATH  Google Scholar 

  40. E. Ferreiro, E. Iancu, A. Leonidov, L. McLerran, Nucl. Phys. A 703, 489 (2002). arXiv:hep-ph/0109115

    Article  ADS  MATH  Google Scholar 

  41. H. Weigert, Nucl. Phys. A 703, 823 (2002). arXiv:hep-ph/0004044

    Article  ADS  Google Scholar 

  42. E. Gotsman, E. Levin, U. Maor, Phys. Lett. B 716, 425 (2012). arXiv:1208.0898 [hep-ph]

    Article  ADS  Google Scholar 

  43. E. Gotsman, E. Levin, U. Maor, Phys. Rev. D 85, 094007 (2012). arXiv:1203.2419 [hep-ph]

    Article  ADS  Google Scholar 

  44. E. Gotsman, E. Levin, U. Maor, Eur. Phys. J. C 71, 1553 (2011). arXiv:1010.5323 [hep-ph]

    ADS  Google Scholar 

  45. E. Gotsman, E. Levin, U. Maor, J.S. Miller, Eur. Phys. J. C 57, 689 (2008). arXiv:0805.2799 [hep-ph]

    Article  ADS  Google Scholar 

  46. A.B. Kaidalov, M.G. Poghosyan, arXiv:0909.5156 [hep-ph]

  47. A.D. Martin, M.G. Ryskin, V.A. Khoze, arXiv:1110.1973 [hep-ph]

  48. S. Ostapchenko, Phys. Rev. D 83, 014018 (2011). arXiv:1010.1869 [hep-ph]

    Article  ADS  Google Scholar 

  49. R.C. Brower, J. Polchinski, M.J. Strassler, d.C.I. Tan, J. High Energy Phys. 0712, 005 (2007). arXiv:hep-th/0603115

    Article  ADS  MathSciNet  Google Scholar 

  50. R.C. Brower, M.J. Strassler, C.I. Tan, On the pomeron at large ’t Hooft coupling. arXiv:0710.4378 [hep-th]

  51. Y. Hatta, E. Iancu, A.H. Mueller, J. High Energy Phys. 0801, 026 (2008). arXiv:0710.2148 [hep-th]

    Article  ADS  Google Scholar 

  52. L. Cornalba, M.S. Costa, Phys. Rev. D 78, 09010 (2008). arXiv:0804.1562 [hep-ph]

    Article  Google Scholar 

  53. L. Cornalba, M.S. Costa, J. Penedones, J. High Energy Phys. 0806, 048 (2008). arXiv:0801.3002 [hep-th]

    Article  ADS  MathSciNet  Google Scholar 

  54. L. Cornalba, M.S. Costa, J. Penedones, J. High Energy Phys. 0709, 037 (2007). arXiv:0707.0120 [hep-th]

    Article  ADS  MathSciNet  Google Scholar 

  55. B. Pire, C. Roiesnel, L. Szymanowski, S. Wallon, Phys. Lett. B 670, 84 (2008). arXiv:0805.4346 [hep-ph]

    Article  ADS  Google Scholar 

  56. E. Levin, J. Miller, B.Z. Kopeliovich, I. Schmidt, J. High Energy Phys. 0902, 048 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  57. E. Levin, J. Miller, B.Z. Kopeliovich, I. Schmidt, arXiv:0811.3586 [hep-ph]

  58. P.D.B. Collins, An introduction to Regge theory and high energy physics (Cambridge University Press, Cambridge, 1977)

    Book  Google Scholar 

  59. L. Caneschi (ed.), Regge Theory of Low-p T Hadronic Interaction (North-Holland, Amsterdam, 1989) and references therein

    Google Scholar 

  60. A.H. Mueller, Phys. Rev. D 2, 2963 (1970)

    Article  ADS  Google Scholar 

  61. V.A. Abramovsky, V.N. Gribov, O.V. Kancheli, Yad. Fiz. 18, 595 (1973) [Sov. J. Nucl. Phys. 18, 308 (1974)]

    Google Scholar 

  62. J. Jalilian-Marian, Y.V. Kovchegov, Phys. Rev. D 70, 114017 (2004). Erratum: Phys. Rev. D 71, 079901 (2005). hep-ph/0405266

    Article  ADS  Google Scholar 

  63. A.H. Mueller, B. Patel, Nucl. Phys. B 425, 471 (1994)

    Article  ADS  Google Scholar 

  64. A.H. Mueller, G.P. Salam, Nucl. Phys. B 475, 293 (1996)

    Article  ADS  Google Scholar 

  65. G.P. Salam, Nucl. Phys. B 461, 512 (1996)

    Article  ADS  Google Scholar 

  66. E. Iancu, A.H. Mueller, Nucl. Phys. A 730, 460 (2004)

    Article  ADS  Google Scholar 

  67. A. Schwimmer, Nucl. Phys. B 94, 445 (1975)

    Article  ADS  Google Scholar 

  68. K.G. Boreskov, A.B. Kaidalov, V.A. Khoze, A.D. Martin, M.G. Ryskin, Eur. Phys. J. C 44, 523 (2005). arXiv:hep-ph/0506211

    Article  ADS  Google Scholar 

  69. E. Levin, M. Lublinsky, Nucl. Phys. A 730, 191 (2004). arXiv:hep-ph/0308279

    Article  ADS  MATH  Google Scholar 

  70. E. Levin, M. Lublinsky, Phys. Lett. B 607, 131 (2005). arXiv:hep-ph/0411121

    Article  ADS  Google Scholar 

  71. E. Levin, A. Prygarin, Eur. Phys. J. C 53, 385 (2008). hep-ph/0701178

    Article  ADS  Google Scholar 

  72. R.J. Glauber, in Lectures in Theor. Phys., vol. 1, ed. by W.E. Brittin, L.G. Duham (Intersciences, New York, 1959)

    Google Scholar 

  73. V.N. Gribov, Sov. Phys. JETP 29, 483 (1969) [Zh. Eksp. Teor. Fiz. 56, 892 (1969)]

    ADS  Google Scholar 

  74. I. Gradstein, I. Ryzhik, Tables of Series, Products, and Integrals (MIR, Moskow, 1981)

    Google Scholar 

  75. M.G. Poghosyan, J. Phys. G 38, 124044 (2011). arXiv:0911.5430 [hep-ex]

    Article  ADS  Google Scholar 

  76. ALICE Collaboration, First proton–proton collisions at the LHC as observed with the ALICE detector: measurement of the charged particle pseudorapidity density at \(\sqrt{s} = 900\) GeV. arXiv:0911.5430 [hep-ex]

  77. G. Aad et al. (ATLAS Collaboration), Nat. Commun. 2, 463 (2011). arXiv:1104.0326 [hep-ex]

    Article  Google Scholar 

  78. CMS Physics Analysis Summary, Measurement of the inelastic pp cross section at s=7 TeV with the CMS detector, 2011/08/27

  79. F. Ferro (TOTEM Collaboration), AIP Conf. Proc. 1350, 172 (2011)

    Article  ADS  Google Scholar 

  80. G. Antchev et al. (TOTEM Collaboration), Europhys. Lett. 96, 21002 (2011)

    Article  ADS  Google Scholar 

  81. G. Antchev et al. (TOTEM Collaboration), Europhys. Lett. 95, 41001 (2011). arXiv:1110.1385 [hep-ex]

    Article  ADS  Google Scholar 

  82. C. Amsler et al. (Particle Data Group), Phys. Lett. B 667, 1 (2008)

    Article  ADS  Google Scholar 

  83. A.B. Kaidalov, L.A. Ponomarev, K.A. Ter-Martirosian, Yad. Fiz. 44, 722 (1986) [Sov. J. Nucl. Phys. 44, 468 (1986)]

    Google Scholar 

  84. A.B. Kaidalov, Phys. Rep. 50, 157 (1979)

    Article  ADS  Google Scholar 

  85. A.B. Kaidalov, K.A. Ter-Martirosyan, Nucl. Phys. B 75, 471 (1974) and references therein

    Article  ADS  Google Scholar 

  86. A. Capella, U. Sukhatme, C.-I. Tan et al., Phys. Rep. 236, 225–329 (1994) and references therein

    Article  ADS  Google Scholar 

  87. E. Gotsman, E. Levin, U. Maor, Diffraction production in a soft interaction model: mass distributions. arXiv:1302.4524 [hep-ph]

  88. F.D. Aaron et al. (H1 and ZEUS Collaboration), J. High Energy Phys. 1001, 109 (2010). arXiv:0911.0884 [hep-ex]

    Article  ADS  Google Scholar 

  89. E. Gotsman, E. Levin, U. Maor, Phys. Rev. D 84, 051502 (2011). arXiv:1103.4509 [hep-ph]

    Article  ADS  Google Scholar 

  90. V. Khachatryan et al. (CMS Collaboration), J. High Energy Phys. 1101, 079 (2011). arXiv:1011.5531 [hep-ex]

    Article  ADS  Google Scholar 

  91. G. Aad et al. (ATLAS Collaboration), J. High Energy Phys. 1207, 019 (2012). arXiv:1203.3100 [hep-ex]

    Article  ADS  Google Scholar 

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Acknowledgements

We thank all participants of “Low x’2013 WS” for fruitful discussions on the subject. This research of E.L. was supported by the Fondecyt (Chile) grant 1100648.

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Authors and Affiliations

  1. Department of Particle Physics, School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Science, Tel Aviv University, Tel Aviv, 69978, Israel

    E. Gotsman, E. Levin & U. Maor

  2. Departamento de Física, Universidad Técnica Federico Santa María and Centro Cientifico-Tecnológico de Valparaiso, Avda. España 1680, Casilla 110-V, Valparaiso, Chile

    E. Levin

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  1. E. Gotsman
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Correspondence to E. Gotsman.

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Gotsman, E., Levin, E. & Maor, U. Long-range rapidity correlations in soft interactions at high energies. Eur. Phys. J. C 73, 2658 (2013). https://doi.org/10.1140/epjc/s10052-013-2658-5

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