Abstract

In this paper, we show (1) that the NLO corrections do not change the power-like decrease of the scattering amplitude at large impact parameter (b(2) > r(2) exp(2 (alpha) over bar (S)eta(1+ 4 (alpha) over bar (S))), where r denotes the size of scattering dipole and eta = ln(1/x(Bj)) for DIS), and, therefore, they do not resolve the inconsistency with unitarity; and (2) they lead to an oscillating behaviour of the scattering amplitude at large b, in direct contradiction with the unitarity constraints. However, from themore practical point of view, theNLOestimates give a faster decrease of the scattering amplitude as a function of b, and could be very useful for description of the experimental data. It turns out, that in a limited range of b, the NLO corrections generates the fast decrease of the scattering amplitude with b, which can be parameterized as N alpha exp(-mu b) with mu alpha 1/r in accord with the numerical estimates in Cepila et al. (Phys Rev D 99(5):051502, https://doi.org/10.1103/ PhysRevD.99.051502, arXiv:1812.02548 [hep-ph], 2019).