We construct two-electron scattering states in the
infrared-regular massless Nelson model along the lines of Haag-Ruelle
scattering theory. In order to remove the infrared cut-off, we need
detailed information about the dependence of the ground states of the fiber
Hamiltonians on the total momentum. This information is obtained with the
help of the iterative analytic perturbation theory. This is a joint work
with Wojciech Dybalski.