Pomeron loop and running coupling effects in high energy QCD evolution

Journal of High Energy Physics

Volumn 2007, Issue 8, 2007, Pages

  Dumitru, Adrian ^a   Iancu, Edmond ^b,e   Portugal, Licinio ^b,f   Soyez, Gregory ^c,g   Triantafyllopoulos, Dionysis N ^d  

^a GOETHE UNIVERSITY   (Germany)

^b DIF   (France)

^c BROOKHAVEN NATIONAL LABORATORY   (United States)

^d ECT   (Italy)

^e CNRS   (France)

^f FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^g UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

Deep inelastic scattering; Parton model; QCD

Indexed keywords

EID: 77953253695     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/08/062     Document Type: Article

References (64)

1. I. Balitsky, Operator expansion for high-energy scattering, Nucl. Phys. B 463 (1996) 99 [hep-ph/9509348];
2. Effective field theory for the small-x evolution, Phys. Lett. B 518 (2001) 235 [hep-ph/0105334].
3. 2 structure function of a nucleus including multiple pomeron exchanges, Phys. Rev. D 60 (1999) 034008 [hep-ph/9901281];
4. Unitarization of the BFKL Pomeron on a nucleus, Phys. Rev. D 61 (2000) 074018 [hep-ph/9905214].
5. J. Jalilian-Marian, A. Kovner, A. Leonidov and H. Weigert, The BFKL equation from the Wilson renormalization group, Nucl. Phys. B 504 (1997) 415 [hep-ph/9701284];
6. The Wilson renormalization group for low x physics: towards the high density regime, Phys. Rev. D 59 (1999) 014014 [hep-ph/9706377];
7. The Wilson renormalization group for low x physics: gluon evolution at finite parton density, Phys. Rev. D 59 (1999) 014015 [hep-ph/9709432];
8. A. Kovner, J.G. Milhano and H. Weigert, Relating different approaches to nonlinear QCD evolution at finite gluon density, Phys. Rev. D 62 (2000) 114005 [hep-ph/0004014].
9. H. Weigert, Unitarity at small Bjorken x, Nucl. Phys. A 703 (2002) 823 [hep-ph/0004044].
10. E. Iancu, A. Leonidov and L.D. McLerran, Nonlinear gluon evolution in the color glass condensate. II, Nucl. Phys. A 692 (2001) 583 [hep-ph/0011241];
11. The renormalization group equation for the color glass condensate, Phys. Lett. B 510 (2001) 133 [hep-ph/0102009];
12. Nonlinear gluon evolution in the color glass condensate. II, Nucl. Phys. A 703 (2002) 489 [hep-ph/0109115].
13. A.H. Mueller and A.I. Shoshi, Small-x physics beyond the Kovchegov equation, Nucl. Phys. B 692 (2004) 175 [hep-ph/0402193].
14. E. Iancu, A.H. Mueller and S. Munier, Universal behavior of QCD amplitudes at high energy from general tools of statistical physics, Phys. Lett. B 606 (2005) 342 [hep-ph/0410018].
15. E. Iancu and D.N. Triantafyllopoulos, A Langevin equation for high energy evolution with Pomeron loops, Nucl. Phys. A 756 (2005) 419 [hep-ph/0411405].
16. E. Iancu and D.N. Triantafyllopoulos, Non-linear QCD evolution with improved triple-Pomeron vertices, Phys. Lett. B 610 (2005) 253 [hep-ph/0501193].
17. A.H. Mueller, A.I. Shoshi and S.M.H. Wong, Extension of the JIMWLK equation in the low gluon density region, Nucl. Phys. B 715 (2005) 440 [hep-ph/0501088].
18. E. Levin and M. Lublinsky, Towards a symmetric approach to high energy evolution: generating functional with Pomeron loops, Nucl. Phys. A 763 (2005) 172 [hep-ph/0501173].
19. A. Kovner and M. Lublinsky, From target to projectile and back again: selfduality of high energy evolution, Phys. Rev. Lett. 94 (2005) 181603 [hep-ph/0502119];
20. In pursuit of pomeron loops: The JIMWLK equation and the Wess-Zumino term, Phys. Rev. D 71 (2005) 085004 [hep-ph/0501198].
21. Y. Hatta, E. Iancu, L. McLerran, A. Stasto and D.N. Triantafyllopoulos, Effective hamiltonian for QCD evolution at high energy, Nucl. Phys. A 764 (2006) 423 [hep-ph/0504182].
22. I. Balitsky, High-energy effective action from scattering of QCD shock waves, Phys. Rev. D 72 (2005) 074027 [hep-ph/0507237].
23. E. Brunet, B. Derrida, A.H. Mueller and S. Munier, A phenomenological theory giving the full statistics of the position of fluctuating pulled fronts, Phys. Rev. D 73 (2006) 056126 [cond-mat/0512021].
24. C. Marquet, R. Peschanski and G. Soyez, Consequences of strong fluctuations on high-energy QCD evolution, Phys. Rev. D 73 (2006) 114005 [hep-ph/0512186].
25. c, Nucl. Phys. A 773 (2006) 95 [hep-ph/0601150].
26. E. Iancu, C. Marquet and G. Soyez, Forward gluon production in hadron hadron scattering with pomeron loops, Nucl. Phys. A 780 (2006) 52 [hep-ph/0605174].
27. M. Kozlov, A.I. Shoshi and B.-W. Xiao, Total gluon shadowing due to fluctuation effects, hep-ph/0612053.
28. K.J. Golec-Biernat, L. Motyka and A.M. Stasto, Diffusion into infra-red and unitarization of the BFKL Pomeron, Phys. Rev. D 65 (2002) 074037 [hep-ph/0110325].
29. E. Iancu, K. Itakura and L. McLerran, Geometric scaling above the saturation scale, Nucl. Phys. A 708 (2002) 327 [hep-ph/0203137].
30. A.H. Mueller and D.N. Triantafyllopoulos, The energy dependence of the saturation momentum, Nucl. Phys. B 640 (2002) 331 [hep-ph/0205167].
31. D.N. Triantafyllopoulos, The energy dependence of the saturation momentum from RG improved BFKL evolution, Nucl. Phys. B 648 (2003) 293 [hep-ph/0209121].
32. S. Munier and R. Peschanski, Traveling wave fronts and the transition to saturation, Phys. Rev. D 69 (2004) 034008 [hep-ph/0310357].
33. K. Rummukainen and H. Weigert, Universal features of JIMWLK and BK evolution at small x, Nucl. Phys. A 739 (2004) 183 [hep-ph/0309306].
34. E. Iancu, K. Itakura and D.N. Triantafyllopoulos, Cronin effect and high-pr suppression in the nuclear gluon distribution at small x, Nucl. Phys. A 742 (2004) 182 [hep-ph/0403103].
35. J.L. Albacete, N. Armesto, J.G. Milhano, C.A. Salgado and U.A. Wiedemann, Numerical analysis of the Balitsky-Kovchegov equation with running coupling: dependence of the saturation scale on nuclear size and rapidity, Phys. Rev. D 71 (2005) 014003 [hep-ph/0408216].
36. E. Gardi, J. Kuokkanen, K. Rummukainen and H. Weigert, Running coupling and power corrections in nonlinear evolution at the high-energy limit, Nucl. Phys. A 784 (2007) 282 [hep-ph/0609087].
37. Y.V. Kovchegov and H. Weigert, Triumvirate of running couplings in small-x evolution, Nucl. Phys. A 784 (2007) 188 [hep-ph/0609090].
38. I. Balitsky, Quark contribution to the small-x evolution of color dipole, Phys. Rev. D 75 (2007) 014001 [hep-ph/0609105].
39. f NLO intercept, Nucl. Phys. A 789 (2007) 260 [hep-ph/0612071].
40. J.L. Albacete and Yu.V. Kovchegov, Solving the high energy evolution equation including running coupling corrections, arXiv: 0704. 0612.
41. V.S. Fadin, R. Fiore and A. Papa, On the coordinate representation of NLO BFKL, Nucl. Phys. B 769 (2007) 108 [hep-ph/0612284];
42. The dipole form of the quark part of the BFKL kernel, Phys. Lett. B 647 (2007) 179 [hep-ph/0701075].
43. E. Iancu, J.T. de Santana Amaral, G. Soyez and D.N. Triantafyllopoulos, One-dimensional model for QCD at high energy, Nucl. Phys. A 786 (2007) 131 [hep-ph/0611105].
44. L.N. Lipatov, Reggeization of the vector meson and the vacuum singularity in nonabelian gauge theories, Sov. J. Nucl. Phys. 23 (1976) 338;
45. E.A. Kuraev, L.N. Lipatov and V.S. Fadin, The Pomeranchuk singularity in nonabelian gauge theories, Zh. Eksp. Teor. Fiz. 72 (1977) 377;
46. I.I. Balitsky and L.N. Lipatov, The Pomeranchuk singularity in quantum chromodynamics, Sov. J. Nucl. Phys. 28 (1978) 822.
47. J.P. Blaizot, E. Iancu and D.N. Triantafyllopoulos, A zero-dimensional model for high-energy scattering in QCD, Nucl. Phys. A 784 (2007) 227 [hep-ph/0606253].
48. For a recent review, see W. Van Saarloos, Front propagation into unstable states, Phys. Rep. 386 (2003) 29 [cond-mat/0308540]
49. E. Brunet and B. Derrida, Shift in the velocity of a front due to a cutoff, Phys. Rev. E 56 (1997) 2597;
50. Microscopic models of traveling wave equations, Comp. Phys. Comm. 121 (1999) 376 [cond-mat/0005364];
51. Effect of microscopic noise on front propagation, J. Stat. Phys. 103 (2001) 269.
52. S. Munier and R. Peschanski, Geometric scaling as traveling waves, Phys. Rev. Lett. 91 (2003) 232001 [hep-ph/0309177].
53. A.M. Stasto, K.J. Golec-Biernat and J. Kwiecinski, Geometric scaling for the total γ*p cross-section in the low x region, Phys. Rev. Lett. 86 (2001) 596 [hep-ph/0007192].
54. C. Marquet and L. Schoeffel, Geometric scaling in diffractive deep inelastic scattering, Phys. Lett. B 639 (2006) 471 [hep-ph/0606079].
55. F. Gelis, R. Peschanski, G. Soyez and L. Schoeffel, Systematics of geometric scaling, Phys. Lett. B 647 (2007) 376 [hep-ph/0610435].
56. J. Bartels, K.J. Golec-Biernat and H. Kowalski, A modification of the saturation model: DGLAP evolution, Phys. Rev. D 66 (2002) 014001 [hep-ph/0203258].
57. E. Iancu, K. Itakura and S. Munier, Saturation and BFKL dynamics in the HERA data at small x, Phys. Lett. B 590 (2004) 199 [hep-ph/0310338].
58. G. Soyez, Saturation QCD predictions with heavy quarks at HERA, arXiv: 0705. 3672.
59. A.H. Mueller and G.P. Salam, Large multiplicity fluctuations and saturation effects in Onium collisions, Nucl. Phys. B 475 (1996) 293 [hep-ph/9605302].
60. A.H. Mueller, Soft gluons in the infinite momentum wave function and the BFKL Pomeron, Nucl. Phys. B 415 (1994) 373;
61. Unitarity and the BFKL Pomeron, Nucl. Phys. B 437 (1995) 107 [hep-ph/9408245].
62. E. Iancu and L.D. McLerran, Saturation and universality in QCD at small x, Phys. Lett. B 510 (2001) 145 [hep-ph/0103032].
63. C. Marquet, G. Soyez and B.-W. Xiao, On the probability distribution of the stochastic saturation scale in QCD, Phys. Lett. B 639 (2006) 635 [hep-ph/0606233].
64. L.V. Gribov, E.M. Levin and M.G. Ryskin, Semihard processes in QCD, Phys. Rept. 100 (1983) 1.