We solve the BFKL equation in the leading logarithmic approximation numerically in the Yang-Mills theory with the Higgs mechanism for the vector boson mass generation. It can be considered as a model for the amplitude with the correct behavior of the s-channel partial waves at large impact parameters. The Pomeron spectrum of the massive BFKL kernel in the ω space for t=0 coincides with the continuous spectrum for the massless case although the density of its eigenvalues is 2 times smaller for ω>ω0, where ω0 is a negative number. We find a simple parametrization for the corresponding eigenfunctions. Because the leading singularity in the ω plane in this Higgs model for t=0 is a fixed cut, the Regge pole contributions could be only for nonphysical positive t. Hence we can state that the correct behavior at large b does not influence the main properties of the BFKL equation.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|State||Published - 31 Mar 2014|