Abstract—
At high energies and limited transverse momenta, the amplitudes of QCD processes in the leading logarithmic approximation (LLA) are determined by the Regge pole with gluon quantum numbers and a negative signature. This property, called gluon reggeization, is extremely important for a theoretical description of high-energy processes in QCD. In particular, it underlies the derivation of the Balitsky–Fadin–Kuraev–Lipatov (BFKL) equation. The pole Regge form is also preserved in the next-to-leading logarithmic approximation (NLLA). However, this form is violated in higher approximations. It is natural to assume that it is violated by the contributions of the Regge cuts. The structure of these cuts and its difference from the structure of cuts in the old (before QCD) theory of complex angular momenta is discussed.
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REFERENCES
V. S. Fadin, E. A. Kuraev, and L. N. Lipatov, “On the Pomeranchuk singularity in asymptotically free theories,” Phys. Lett. B 60, 50 (1975).
E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, “Multi-Reggeon processes in the Yang–Mills theory,” J. Exp. Theor. Phys. 44, 443 (1976).
E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, “The Pomeranchuk singularity in nonabelian gauge theories,” J. Exp. Theor. Phys. 45, 199 (1977).
I. I. Balitsky and L. N. Lipatov, “The Pomeranchuk singularity in quantum chromodynamics,” Sov. J. Nucl. Phys. 28, 822—829 (1978).
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.
B. L. Ioffe, V. S. Fadin, and L. N. Lipatov, Quantum Chromodynamics: Perturbative and Nonperturbative Aspects (Cambridge Univ. Press, 2010).
V. S. Fadin, M. G. Kozlov, and A. V. Reznichenko, “Gluon reggeization in Yang-Mills theories,” Phys. Rev. D 92, 085044 (2015).
D. Amati, S. Fubini, and A. Stanghellini, “Asymptotic properties of scattering and multiple production,” Phys. Lett. 1, 29 (1962).
D. Amati, A. Stanghellini, and S. Fubini, “Theory of high-energy scattering and multiple production,” Nuovo Cimento 26, 896 (1962).
J. C. Polkinghorne, “Cancelling cuts in the regge plane,” Phys. Lett. 4, 24 (1963).
I. G. Halliday and C. T. Sachrajda, “Reggeon structure, S-channel unitarity, and the Mandelstam cut,” Phys. Rev. D 8, 3598 (1973).
S. Mandelstam, “Cuts in the angular momentum plane. 1,” Nuovo Cimento 30, 1127 (1963).
S. Mandelstam, “Cuts in the angular momentum plane. 2,” Nuovo Cimento 30, 1148 (1963).
J. Bartels, “High-energy behavior in a nonabelian gauge theory (II): First corrections to \({{T}_{{n \to m}}}\) beyond the leading approximation,” Nucl. Phys. B 175, 365 (1980).
J. Kwiecinski and M. Praszalowicz, “Three gluon integral equation and odd c singlet regge singularities in QCD,” Phys. Lett. B 94, 82 (1980).
V. Del Duca and E. W. N. Glover, “The high-energy limit of QCD at two loops,” J. High Energy Phys. 0110, 035 (2001).
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).
V. Del Duca, G. Falcioni, L. Magnea, and L. Vernazza, “Beyond reggeization for two- and three-loop QCD amplitudes,” PoS 12th International Symposium on Radiative Corrections (2013).
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).
V. S. Fadin, “Particularities of the NNLLA BFKL,” AIP Conf. Proc. 1819, 060003 (2017).
V. S. Fadin and L. N. Lipatov, “Reggeon cuts in QCD amplitudes with negative signature,” Eur. Phys. J. C 78, 439 (2018).
V. S. Fadin, “Violation of a simple factorized form of QCD amplitudes and regge cuts,” PoS DIS2017, 042 (2018).
S. Caron-Huot, E. Gardi, and L. Vernazza, “Two-parton scattering in the high-energy limit,” J. High Energy Phys. 1706, 016 (2017).
V. S. Fadin, “Three-Reggeon cuts in QCD amplitudes,” EPJ Web Conf. 222, 03006 (2019).
V. S. Fadin, “Higher-order contributions to QCD amplitudes in Regge kinematics,” JETP Lett. 111, 1 (2020).
V. S. Fadin, “BFKL equation: status and problems,” Phys. Part. Nucl. 51, 497 (2020).
V. S. Fadin, “Three-Reggeon cuts in QCD amplitudes,” Phys. Atom. Nucl 84, 100 (2021).
G. Falcioni, G. Gardi, N. Maher, C. Milloy, and L. Vernazza, “Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops,” J. High Energy Phys. 03, 053 (2022).
G. Falcioni, G. Gardi, N. Maher, C. Milloy, and L. Vernazza, “Disentangling the Regge cut and Regge pole in perturbative QCD,” Phys. Rev. Lett. 128, 13 (2022).
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Fadin, V.S. Regge Cuts in QCD. Phys. Part. Nuclei Lett. 20, 341–346 (2023). https://doi.org/10.1134/S1547477123030275
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DOI: https://doi.org/10.1134/S1547477123030275