  We introduce a simpler although unconventional minimal subtraction
renormalization procedure in the case of a massive scalar $\lambda \phi^{4}$
theory in Euclidean space using dimensional regularization. We show that this
method is very similar to its counterpart in massless field theory. In
particular, the choice of using the bare mass at higher perturbative order
instead of employing its tree-level counterpart eliminates all tadpole
insertions at that order. As an application, we compute diagrammatically the
critical exponents $\eta$ and $\nu$ at least up to two loops. We perform an
explicit comparison with the Bogoliubov-Parasyuk-Hepp-Zimmermann ($BPHZ$)
method at the same loop order, show that the proposed method requires fewer
diagrams and establish a connection between the two approaches.
