  We consider generalisations of the recently proposed supersymmetry breaking
deformation of the 5d rank-1 $E_1$ superconformal field theory to higher rank.
We generalise the arguments to theories which admit a mass deformation leading
to gauge theories coupled to matter hypermultiplets at low energies. These
theories have a richer space of non-supersymmetric deformations, due to the
existence of a larger global symmetry. We show that there is a one-to-one
correspondence between the non-SUSY deformations of the gauge theory and their
$(p,q)$ 5-brane web. We comment on the (in)stability of these deformations both
from the gauge theory and the 5-brane web point of view. UV duality plays a key
role in our analysis, fixing the effective Chern-Simons level for the
background vector multiplets, together with their complete prepotential. We
partially classify super-Yang-Mills theories known to enjoy UV dualities which
show a phase transition where different phases are separated by a jump of
Chern-Simons levels of both a perturbative and an instantonic global symmetry.
When this transition can be reached by turning on a non-supersymmetric
deformation of the UV superconformal field theory, it can be a good candidate
to host a 5d non-supersymmetric CFT. We also discuss consistency of the
proposed phase diagram with the 't Hooft anomalies of the models that we
analyse.
