  Practical calculations in light-front dynamics are, as a general rule,
complicated, since there is no consensus about how to treat the poles which
come from the instantaneous parts of Feynman's propagators of the fields. An
alternative to solve this difficulty is null-plane causal perturbation theory,
a recent developed framework which prevents the appearance of the mentioned
poles by avoiding the usage of Feynman's propagators in "loop distributions",
requiring no regularization of the amplitudes. In this study, we treat the
radiative corrections in the neutral Yukawa's model in that framework.
Particularly, we explicitly calculate the boson and fermion self-energies and
show that the results obtained with this approach are equivalent to that of the
instant dynamics.
