  Three-loop renormalization group equations for the Higgs self-coupling and
Higgs mass parameter are recalculated in the case of complex Yukawa matrices,
which encompass general flavour structure of the Standard Model. In addition,
the anomalous dimensions both for the quantum Higgs field and its vacuum
expectation value are presented in the $\overline{MS}$-scheme. A numerical
study of the latter quantities is carried out for a certain set of initial
parameters.
