  Recently presented explicit formulae for asymptotic expansions of Feynman
diagrams in the Sudakov limit are applied to typical two-loop diagrams. For a
diagram with one non-zero mass these formulae provide an algorithm for
analytical calculation of all powers and logarithms, i.e. coefficients in the
corresponding expansion $(Q^2)^{-2} \sum_{n,j=0} c_{nj} t^{-n} \ln^j t$, with
$t=Q^2/m^2$ and $j \leq 4$. Results for the coefficients at several first
powers are presented. For a diagram with two non-zero masses, results for all
the logarithms and the leading power, i.e. the coefficients $c_{nj}$ for n=0
and j=4,3,2,1,0 are obtained. A typical feature of these explicit formulae
(written through a sum over a specific family of subgraphs of a given graph,
similar to asymptotic expansions for off-shell limits of momenta and masses) is
an interplay between ultraviolet, collinear and infrared divergences which
represent themselves as poles in the parameter $\eps=(4-d)/2$ of dimensional
regularization. In particular, in the case of the second diagram, which is free
from the divergences, individual terms of the asymptotic expansion involve all
the three kinds of divergences resulting in poles, up to $1/\eps^4$, which are
successfully canceled in the sum.
