  We calculate the small angle expansion of the four-loop QCD cusp anomalous
dimension. As a byproduct of our calculation, we also obtain the four-loop
anomalous dimension of the heavy-quark field in HQET. The validity of the
calculational setup is cross-checked by the independent calculation of the
four-loop QCD beta-function from heavy-quark-gluon vertex renormalization in
HQET. We check the obtained results for the cusp anomalous dimension and
heavy-quark field anomalous dimension against available analytical and
numerical results. Finally, we find that the maximal transcendentality
contribution to the QCD Bremsstrahlung function coincides, up to a factor 3/2,
with the Bremsstrahlung function in N = 4 supersymmetric Yang-Mills theory, at
least, through 4 loops.
