Regge Limit of Gauge Theory Amplitudes beyond Leading Power Approximation
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