2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/188999The procedure to improve the convergence in transverse momentum space of the NLL BFKL kernel using a w-shift is revisited. An accurate approximation to this shift only depending on transverse momenta is presented. This approximation is based on a Bessel function of the first kind with argument depending on the strong coupling and a double logarithm of the ratio of transverse scales. A comparison between different renormalization schemes is also included.16 pages, 9 figuresHigh Energy Physics - Phenomenologytext