  We present five-loop results for the renormalization of various models with a
cubic interaction (in ${d = 6 - 2 \varepsilon}$ dimensions). For the scalar
model and its ${O(n)}$-symmetric extension we provide renormalization
constants, anomalous dimensions and critical exponents. We discuss in detail
the method of calculation, and provide all counterterms up to five loops. This
allows one to consider generalizations of the ${\varphi^3}$ theory to other
symmetries.
