  Starting with generic Wess-Zumino type coupling to constant four-form and the
dual seven-form field strengths in the ABJM theory, we obtain mass-deformed
theories with ${\cal N}=2,4$ supersymmetries. These theories contain massless
scalar fields and allow the implementation of the Mukhi-Papageorgakis Higgsing
procedure. Using this procedure, we connect the Higgsed theories to
three-dimensional mass-deformed SYM theories. These are also connected by the
four-dimensional ${\cal N}=1^*,2^*$ mass-deformed SYM theories through
dimensional reduction. We classify the three-dimensional mass-deformed SYM
theories of ${\cal N}=1,2,4$ supersymmetry, of which a few cases of ${\cal
N}=1,2$ are connected neither by MP Higgsing procedure nor dimensional
reduction.
