  In this paper we encode the perturbative BFKL leading logarithmic
resummation, relevant for the Regge limit behavior of QCD scattering
amplitudes, in the IR-regulated effective action which satisfies exact
functional renormalization group equations. This is obtained using a truncation
with a specific infinite set of non local vertices describing the multi-Regge
kinematics (MRK). The goal is to use this framework to study, in the high
energy limit and at larger transverse distances the transition to a much
simpler effective local reggeon field theory, whose critical properties were
recently investigated in the same framework. We perform a numerical analysis of
the spectrum of the BFKL Pomeron deformed by the introduction of a Wilsonian
infrared regulator to understand the properties of the leading poles (states)
contributing to the high energy scattering.
