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Collinear improvement of the BFKL kernel in the electroproduction of two light vector mesons

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Abstract

The use of the BFKL kernel improved by the inclusion of subleading terms generated by renormalization group (RG) analysis has been suggested to cure the instabilities in the behavior of the BFKL Green’s function in the next-to-leading approximation (NLA). We test the performance of a RG-improved kernel in the determination of the amplitude of a physical process, the electroproduction of two light vector mesons, in the BFKL approach in the NLA. We find that a smooth behavior of the amplitude with the center-of-mass energy can be achieved, setting the renormalization and energy scales appearing in the subleading terms to values much closer to the kinematical scales of the process than in the approaches based on the unimproved kernel.

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References

  1. V.S. Fadin, E.A. Kuraev, L.N. Lipatov, Phys. Lett. B 60, 50 (1975)

    Article  ADS  Google Scholar 

  2. E.A. Kuraev, L.N. Lipatov, V.S. Fadin, Zh. Eksp. Teor. Fiz. 71, 840 (1976) [Sov. Phys. JETP 44, 443 (1976)]

    Google Scholar 

  3. E.A. Kuraev, L.N. Lipatov, V.S. Fadin, Zh. Eksp. Teor. Fiz. 72, 377 (1977) [Sov. Phys. JETP 45, 199 (1977)]

    MathSciNet  Google Scholar 

  4. Y.Y. Balitskii, L.N. Lipatov, Sov. J. Nucl. Phys. 28, 822 (1978)

    Google Scholar 

  5. V.S. Fadin, L.N. Lipatov, Phys. Lett. B 429, 127 (1998)

    Article  ADS  Google Scholar 

  6. M. Ciafaloni, G. Camici, Phys. Lett. B 430, 349 (1998)

    Article  ADS  Google Scholar 

  7. L.N. Lipatov, V.S. Fadin, Sov. J. Nucl. Phys. 50, 712 (1989)

    Google Scholar 

  8. V.S. Fadin, R. Fiore, Phys. Lett. B 294, 286 (1992)

    Article  ADS  Google Scholar 

  9. V.S. Fadin, L.N. Lipatov, Nucl. Phys. B 406, 259 (1993)

    Article  ADS  Google Scholar 

  10. V.S. Fadin, R. Fiore, A. Quartarolo, Phys. Rev. D 50, 5893 (1994)

    Article  ADS  Google Scholar 

  11. V.S. Fadin, R. Fiore, M.I. Kotsky, Phys. Lett. B 359, 181 (1995)

    Article  ADS  Google Scholar 

  12. V.S. Fadin, R. Fiore, M.I. Kotsky, Phys. Lett. B 387, 593 (1996)

    Article  ADS  Google Scholar 

  13. V.S. Fadin, R. Fiore, M.I. Kotsky, Phys. Lett. B 389, 737 (1996)

    Article  ADS  Google Scholar 

  14. V.S. Fadin, R. Fiore, A. Quartarolo, Phys. Rev. D 53, 2729 (1996)

    Article  ADS  Google Scholar 

  15. V.S. Fadin, L.N. Lipatov, Nucl. Phys. B 477, 767 (1996)

    Article  ADS  Google Scholar 

  16. V.S. Fadin, M.I. Kotsky, L.N. Lipatov, Phys. Lett. B 415, 97 (1997)

    Article  ADS  Google Scholar 

  17. V.S. Fadin, R. Fiore, A. Flachi, M.I. Kotsky, Phys. Lett. B 422, 287 (1998)

    Article  ADS  Google Scholar 

  18. S. Catani, M. Ciafaloni, F. Hautmann, Phys. Lett. B 242, 97 (1990)

    Article  ADS  Google Scholar 

  19. G. Camici, M. Ciafaloni, Phys. Lett. B 386, 341 (1996)

    Article  ADS  Google Scholar 

  20. G. Camici, M. Ciafaloni, Nucl. Phys. B 496, 305 (1997).

    Article  ADS  Google Scholar 

  21. V.S. Fadin, hep-ph/9807528

  22. V.S. Fadin, R. Fiore, A. Papa, Phys. Rev. D 60, 074025 (1999)

    Article  ADS  Google Scholar 

  23. V.S. Fadin, R. Fiore, A. Papa, Phys. Rev. D 63, 034001 (2001)

    Article  ADS  Google Scholar 

  24. V.S. Fadin, D.A. Gorbachev, JETP Lett. 71, 222 (2000)

    Article  ADS  Google Scholar 

  25. V.S. Fadin, D.A. Gorbachev, Phys. Atom. Nucl. 63, 2157 (2000)

    Article  ADS  Google Scholar 

  26. A. Papa, hep-ph/0107269

  27. V.S. Fadin, R. Fiore, Phys. Lett. B 440, 359 (1998)

    Article  ADS  Google Scholar 

  28. V.S. Fadin, R. Fiore, M.I. Kotsky, Phys. Lett. B 494, 100 (2000)

    Article  ADS  Google Scholar 

  29. M.A. Braun, hep-ph/9901447

  30. M.A. Braun, G.P. Vacca, Phys. Lett. B 477, 156 (2000)

    Article  ADS  Google Scholar 

  31. V.S. Fadin, R. Fiore, M.I. Kotsky, A. Papa, Phys. Lett. B 495, 329 (2000)

    Article  ADS  Google Scholar 

  32. V.S. Fadin, R. Fiore, M.I. Kotsky, A. Papa, Nucl. Phys. A Proc. Suppl. 99, 222 (2001)

    Article  ADS  Google Scholar 

  33. V.S. Fadin, A. Papa, Nucl. Phys. B 640, 309 (2002)

    Article  MATH  ADS  Google Scholar 

  34. A. Papa, hep-ph/0007118, hep-ph/0301054

  35. J. Bartels, V.S. Fadin, R. Fiore, Nucl. Phys. B 672, 329 (2003)

    Article  MATH  ADS  Google Scholar 

  36. V.S. Fadin, R. Fiore, M.G. Kozlov, A.V. Reznichenko, Phys. Lett. B 639, 74 (2006)

    Article  ADS  Google Scholar 

  37. V.S. Fadin, R. Fiore, Phys. Lett. B 610, 61 (2005)

    Article  ADS  Google Scholar 

  38. V.S. Fadin, R. Fiore, Phys. Lett. B 621, 61 (2005) [Erratum]

    ADS  Google Scholar 

  39. V.S. Fadin, R. Fiore, Phys. Rev. D 72, 014018 (2005)

    Article  ADS  Google Scholar 

  40. V.S. Fadin, R. Fiore, A. Papa, Nucl. Phys. B 769, 108 (2007)

    Article  MATH  ADS  Google Scholar 

  41. V.S. Fadin, R. Fiore, A. Papa, Phys. Lett. B 647, 179 (2007)

    Article  ADS  Google Scholar 

  42. V.S. Fadin, R. Fiore, A.V. Grabovsky, A. Papa, Nucl. Phys. B 784, 49 (2007)

    Article  MATH  ADS  Google Scholar 

  43. I. Balitsky, Nucl. Phys. B 463, 99 (1996)

    Article  ADS  Google Scholar 

  44. Y. Kovchegov, Phys. Rev. D 60, 034008 (1999)

    Article  ADS  Google Scholar 

  45. I. Balitsky, Phys. Rev. D 75, 014001 (2007)

    Article  ADS  Google Scholar 

  46. G.P. Salam, JHEP 9807, 019 (1998)

    Article  ADS  Google Scholar 

  47. M. Ciafaloni, D. Colferai, G.P. Salam, A.M. Stasto, Phys. Lett. B 587, 87 (2004)

    Article  ADS  Google Scholar 

  48. M. Ciafaloni, D. Colferai, G.P. Salam, A.M. Stasto, Phys. Rev. D 68, 114003 (2003)

    Article  ADS  Google Scholar 

  49. M. Ciafaloni, D. Colferai, G.P. Salam, A.M. Stasto, Phys. Lett. B 576, 143 (2003)

    Article  MATH  ADS  Google Scholar 

  50. M. Ciafaloni, D. Colferai, G.P. Salam, A.M. Stasto, Phys. Lett. B 541, 314 (2002)

    Article  MATH  Google Scholar 

  51. M. Ciafaloni, D. Colferai, G.P. Salam, A.M. Stasto, Phys. Rev. D 66, 054014 (2002)

    Article  ADS  Google Scholar 

  52. M. Ciafaloni, D. Colferai, G.P. Salam, JHEP 0007, 054 (2000)

    Article  ADS  Google Scholar 

  53. M. Ciafaloni, D. Colferai, G.P. Salam, JHEP 9910, 017 (1999)

    Article  ADS  Google Scholar 

  54. M. Ciafaloni, D. Colferai, G.P. Salam, Phys. Rev. D 60, 114036 (1999)

    Article  ADS  Google Scholar 

  55. M. Ciafaloni, D. Colferai, Phys. Lett. B 452, 372 (1999)

    Article  ADS  Google Scholar 

  56. L.N. Lipatov, JETP 63, 904 (1986)

    Google Scholar 

  57. G. Camici, M. Ciafaloni, Phys. Lett. B 395, 118 (1997)

    Article  ADS  Google Scholar 

  58. R.S. Thorne, Phys. Lett. B 474, 372 (2000)

    Article  ADS  Google Scholar 

  59. R.S. Thorne, Phys. Rev. D 64, 074005 (2001)

    Article  ADS  Google Scholar 

  60. R.S. Thorne, Phys. Rev. D 60, 054031 (1999)

    Article  ADS  Google Scholar 

  61. J.R. Forshaw, D.A. Ross, A. Sabio Vera, Phys. Lett. B 455, 273 (1999)

    Article  ADS  Google Scholar 

  62. J.R. Forshaw, D.A. Ross, A. Sabio Vera, Phys. Lett. B 498, 149 (2001)

    Article  MATH  ADS  Google Scholar 

  63. M. Ciafaloni, M. Taiuti, A.H. Mueller, Nucl. Phys. B 616, 349 (2001)

    Article  MATH  ADS  Google Scholar 

  64. Y.V. Kovchegov, A.H. Mueller, Phys. Lett. B 439, 423 (1998)

    Google Scholar 

  65. N. Armesto, J. Bartels, M.A. Braun, Phys. Lett. B 442, 459 (1998)

    Article  ADS  Google Scholar 

  66. S.J. Brodsky, V.S. Fadin, V.T. Kim, L.N. Lipatov, G.B. Pivovarov, JETP Lett. 70, 155 (1999)

    Article  ADS  Google Scholar 

  67. C.R. Schmidt, Phys. Rev. D 60, 074003 (1999)

    Article  ADS  Google Scholar 

  68. G. Chachamis, M. Lublinsky, A. Sabio Vera, Nucl. Phys. A 748, 649 (2005)

    Article  ADS  Google Scholar 

  69. G. Altarelli, R.D. Ball, S. Forte, Nucl. Phys. B 674, 459 (2003)

    Article  MATH  ADS  Google Scholar 

  70. G. Altarelli, R.D. Ball, S. Forte, Nucl. Phys. B 621, 359 (2002)

    Article  MATH  ADS  Google Scholar 

  71. G. Altarelli, R.D. Ball, S. Forte, Nucl. Phys. B 599, 383 (2001)

    Article  ADS  Google Scholar 

  72. G. Altarelli, R.D. Ball, S. Forte, Nucl. Phys. B 575, 313 (2000)

    Article  ADS  Google Scholar 

  73. R. Peschanski, C. Royon, L. Schoeffel, Nucl. Phys. B 716, 401 (2005)

    Article  MATH  ADS  Google Scholar 

  74. A. Sabio Vera, Nucl. Phys. B 746, 1 (2006)

    Article  MATH  ADS  Google Scholar 

  75. J. Bartels, A. Sabio Vera, F. Schwennsen, JHEP 0611, 051 (2006)

    Article  ADS  Google Scholar 

  76. A. Sabio Vera, F. Schwennsen, Nucl. Phys. B 776, 170 (2007)

    Article  MATH  ADS  Google Scholar 

  77. C. Marquet, C. Royon, arXiv:0704.3409 [hep-ph]

  78. A. Sabio Vera, Nucl. Phys. B 722, 65 (2005)

    Article  MATH  ADS  Google Scholar 

  79. D.Y. Ivanov, A. Papa, Nucl. Phys. B 732, 183 (2006)

    Article  MATH  ADS  Google Scholar 

  80. D.Y. Ivanov, M.I. Kotsky, A. Papa, Eur. Phys. J. C 38, 195 (2004)

    Article  ADS  Google Scholar 

  81. D.Y. Ivanov, M.I. Kotsky, A. Papa, Nucl. Phys. Proc. Suppl. 146, 117 (2005)

    Article  ADS  Google Scholar 

  82. D.Y. Ivanov, A. Papa, Eur. Phys. J. C 49, 947 (2007)

    Article  ADS  Google Scholar 

  83. D.Y. Ivanov, private communication

  84. P.M. Stevenson, Phys. Lett. B 100, 61 (1981)

    Article  ADS  Google Scholar 

  85. P.M. Stevenson, Phys. Rev. D 23, 2916 (1981)

    Article  ADS  Google Scholar 

  86. M. Segond et al., Eur. Phys. J. C 52, 93 (2007)

    Article  ADS  Google Scholar 

  87. R. Enberg et al., Eur. Phys. J. C 45, 759 (2006) [Erratum-ibid. C 51, 1015 (2007)]

    Article  ADS  Google Scholar 

  88. B. Pire et al., Eur. Phys. J. C 44, 545 (2005)

    Article  ADS  Google Scholar 

Download references

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Caporale, F., Papa, A. & Sabio Vera, A. Collinear improvement of the BFKL kernel in the electroproduction of two light vector mesons. Eur. Phys. J. C 53, 525–532 (2008). https://doi.org/10.1140/epjc/s10052-007-0481-6

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