  We discuss new ideas for consideration of loop diagrams and angular integrals
in $D$-dimensions in QCD. In case of loop diagrams, we propose the covariant
formalism of expansion of tensorial loop integrals into the orthogonal basis of
linear combinations of external momenta. It gives a very simple presentation
for the final results and is more convenient for calculations on computer
algebra systems. In case of angular integrals we demonstrate how to simplify
the integration of differential cross sections over polar angles. Also we
derive the recursion relations, which allow to reduce all occurring angular
integrals to a short set of basic scalar integrals. All order
$\epsilon$-expansion is given for all angular integrals with up to two
denominators based on the expansion of the basic integrals and using recursion
relations. A geometric picture for partial fractioning is developed which
provides a new rotational invariant algorithm to reduce the number of
denominators.
