Skip to main content
SpringerLink
Log in

BFKL Equation and Regge Cuts

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
  • Published:
Physics of Particles and Nuclei Letters Aims and scope Submit manuscript

Abstract

The BFKL equation is based on the gluon yReggeization. In the leading and next-to-leading logarithmic approximations it is derived using the pole Regge form of QCD amplitudes with gluon quantum numbers in cross-channels and negative signature. This form is violated in the next-to-next-to-leading approximation. In two and three loops the observed violation can be explained by the presence of the three-Reggeon cut. Contributions of this cut to elastic scattering amplitudes up to four loops is discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.

Similar content being viewed by others

REFERENCES

  1. V. S. Fadin, E. A. Kuraev, and L. N. Lipatov, “On the Pomeranchuk singularity in asymptotically free theories,” Phys. Lett. B 60, 50 (1975).

    Article  ADS  Google Scholar 

  2. E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, “Multi-reggeon processes in the Yang–Mills theory,” Sov. Phys. JETP 44, 443 (1976).

    ADS  Google Scholar 

  3. E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, “The Pomeranchuk singularity in nonabelian Gauge theories,” Sov. Phys. JETP 45, 199 (1977).

    ADS  MathSciNet  Google Scholar 

  4. I. I. Balitsky and L. N. Lipatov, “The Pomeranchuk singularity in quantum chromodynamics,” Sov. J. Nucl. Phys. 28, 822 (1978).

    Google Scholar 

  5. I. I. Balitsky, L. N. Lipatov, and V. S. Fadin, “Regge processes in nonabelian Gauge theories,” in Proceedings of the 4th Winter School of LNPI, Leningrad, 1979, p. 109.

  6. B. L. Ioffe, V. S. Fadin, and L. N. Lipatov, Quantum Chromodynamics: Perturbative and Nonperturbative Aspects (Cambridge Univ. Press, Cambridge, 2010).

    Book  Google Scholar 

  7. V. S. Fadin, M. G. Kozlov, and A. V. Reznichenko, “Gluon reggeization in Yang-Mills theories,” Phys. Rev. D: Part. Fields 92, 085044 (2015).

    Article  ADS  MathSciNet  Google Scholar 

  8. V. del Duca and E. W. N. Glover, “The high-energy limit of QCD at two loops,” J. High Energy Phys. 0110, 035 (2001).

    Article  Google Scholar 

  9. V. del Duca, G. Falcioni, L. Magnea, and L. Vernazza, “High-energy QCD amplitudes at two loops and beyond,” Phys. Lett. B 732, 233 (2014).

    Article  ADS  Google Scholar 

  10. V. del Duca, G. Falcioni, L. Magnea, and L. Vernazza, “Beyond reggeization for two- and three-loop QCD amplitudes,” PoS RADCOR 2013, 046 (2013).

  11. V. del Duca, G. Falcioni, L. Magnea, and L. Vernazza, “Analyzing high-energy factorization beyond next-to-leading logarithmic accuracy,” J. High Energy Phys. 1502, 029 (2015).

  12. V. S. Fadin, “Particularities of the NNLLA BFKL,” AIP Conf. Proc. 1819, 060003 (2017).

    Article  Google Scholar 

  13. S. Caron-Huot, E. Gardi, and L. Vernazza, “Two-parton scattering in the high-energy limit,” J. High Energy Phys. 1706, 016 (2017).

Download references

5. ACKNOWLEDGMENTS

Work supported in part by the Ministry of Science and Higher Education of Russian Federation, in part by RFBR, grant 19-02-00690.

Author information

Authors and Affiliations

  1. Budker Institute of Nuclear Physics of SD RAS, 630090, Novosibirsk, Russia

    V. S. Fadin

  2. Novosibirsk State University, 630090, Novosibirsk, Russia

    V. S. Fadin

Authors
  1. V. S. Fadin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. S. Fadin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Fadin, V.S. BFKL Equation and Regge Cuts. Phys. Part. Nuclei Lett. 16, 409–413 (2019). https://doi.org/10.1134/S1547477119050121

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477119050121

Keywords:

Search

Navigation