It is shown that for every problem within dimensional regularization,
using the Integration-By-Parts method, one
is able to construct a set of master integrals
such that each corresponding coefficient
function is finite in the limit of dimension equal to four. We
argue that the use of such a basis simplifies and stabilizes the
numerical evaluation of the master integrals. As an example we
explicitly construct the ep-finite basis for the set of all QED-like
four-loop massive tadpoles. Using a semi-numerical approach based on
Pade approximations we evaluate analytically the divergent and
numerically the finite part of this set of master integrals.
The calculations confirm the recent results of Schroder and
Vuorinen. All the contributions found there by fitting the high
precision numerical results have been confirmed by direct analytical
calculation without using any numerical input.
