BFKL Pomeron with massive gluons and running coupling

The purpose of this paper is to calculate the Pomeron intercepts from the BFKL equation with the running coupling constant and the gluon mass generated by the Higgs-like mechanism, and to estimate the influence of the infrared dynamics on the spectrum. We found that as in the massless case, the spectrum of positive Regge singularities is discrete and the leading Pomeron has a considerable dependence on nonperturbative effects. We cross-checked this result with finite element analysis, semiclassical approximation and variational methods and confirmed the infrared sensitivity of the leading Pomeron. This fact is related to the infrared instability of the BFKL equation in QCD, with a running coupling. The subleading poles have a mild sensitivity to the soft physics, and are well described by known semiclassical methods. Also for the first time we study the BFKL equation for the various running coupling prescriptions suggested in the literature.