  The two-loop contributions are now often required by the precision
experiments, yet are hard to express analytically while keeping precision. One
way to approach this challenging task is via the dispersive approach, allowing
to replace sub-loop diagram by effective propagator. This paper builds on our
previous work, where we developed a general approach based on representation of
many-point Passarino-Veltman functions in two-point function basis. In this
work, we have extracted the UV-divergent poles of the Passarino-Veltman
functions analytically and presented them as the dimensionally-regularized and
multiply-subtracted dispersive sub-loop insertions, including self-energy,
triangle, box and pentagon type.
