Renormalization group improved small-xequation

We propose and analyze an improved small-x equation which incorporates exact leading and next-to-leading Balitski {} {}{}-Fadin-Kuraev-Lipatov kernels on one hand and renormalization group constraints in the relevant collinear limits on the other. We work out in detail the recently proposed ω expansion of the solution, derive the Green's function factorization properties and discuss both the gluon anomalous dimension and the hard Pomeron. The resummed results are stable, nearly renormalization-scheme independent, and join smoothly with the fixed order perturbative regime. Two critical hard Pomeron exponents ωc(Q²) and ωₛ(Q²) are provided, which --- for reasonable strong-coupling extrapolations --- are argued to provide bounds on the Pomeron intercept ωP.