  Supergeometric Quantum Field Theories (SG-QFTs) are theories that go beyond
the standard supersymmetric framework, since they allow for general
scalar-fermion field transformations on the configuration space of a
supermanifold, without requiring an equality between bosonic and fermionic
degrees of freedom. After revisiting previous considerations, we extend them by
calculating the one-loop effective action of minimal SG-QFTs that feature
non-zero fermionic curvature in two and four spacetime dimensions. By employing
an intuitive approach to the Schwinger-DeWitt heat-kernel technique and a novel
field-space generalised Clifford algebra, we derive the ultra-violet structure
of all effective-field-theory (EFT) operators up to four spacetime derivatives
that emerge at the one-loop order. Upon minimising the impact of potential
ambiguities due to the so-called multiplicative anomalies, we find that the EFT
interactions resulting from the one-loop supergeometric effective action are
manifestly diffeomorphically invariant in configuration space. The extension of
our approach to evaluating higher-loops of the supergeometric quantum effective
action is described. The emerging landscape of theoretical and phenomenological
directions for further research of SG-QFTs is discussed.
