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Regge Limit of Gauge Theory Amplitudes beyond Leading Power Approximation

High Energy Physics - Phenomenology 2020-05-20 v1 High Energy Physics - Theory

Abstract

We study the high-energy small-angle {\it Regge} limit of the fermion-antifermion scattering in gauge theories and consider the part of the amplitude suppressed by a power of the scattering angle. For abelian gauge group all-order resummation of the double-logarithmic radiative corrections to the leading power-suppressed term is performed. We find that when the logarithm of the scattering angle is comparable to the inverse gauge coupling constant the asymptotic double-logarithmic enhancement overcomes the power suppression, a formally subleading term becomes dominant, and the small-angle expansion breaks down. For the nonabelian gauge group we show that in the color-singlet channel for sufficiently small scattering angles the power-suppressed contribution becomes comparable to the one of BFKL pomeron. Possible role of the subleading-power effects for the solution of the unitarity problem of perturbative Regge analysis in QED and QCD is discussed. An intriguing relation between the asymptotic behavior of the power-suppressed amplitudes in Regge and Sudakov limits is discovered.

Keywords

Cite

@article{arxiv.1909.02013,
  title  = {Regge Limit of Gauge Theory Amplitudes beyond Leading Power Approximation},
  author = {Alexander A. Penin},
  journal= {arXiv preprint arXiv:1909.02013},
  year   = {2020}
}

Comments

5 pages, 2 figures