  For arbitrary scalar QFTs in four dimensions, renormalisation group equations
of quartic and cubic interactions, mass terms, as well as field anomalous
dimensions are computed at three-loop order in the $\overline{\text{MS}}$
scheme. Utilising pre-existing literature expressions for a specific model,
loop integrals are avoided and templates for general theories are obtained. We
reiterate known four-loop expressions, and derive $\beta$ functions for scalar
masses and cubic interactions from it. As an example, the results are applied
to compute all renormalisation group equations in $U(n) \times U(n)$ scalar
theories.
