  5d superconformal field theories (SCFTs) can be obtained from 6d SCFTs by
circle compactification and mass deformation. Successive decoupling of
hypermultiplet matter and RG-flow generates a decoupling tree of descendant 5d
SCFTs. In this paper we determine the magnetic quivers and Hasse diagrams, that
encode the Higgs branches of 5d SCFTs, for entire decoupling trees. Central to
this undertaking is the approach in arXiv:2008.05577, which, starting from the
generalized toric polygons (GTPs) dual to 5-brane webs/tropical curves,
provides a systematic and succinct derivation of magnetic quivers and their
Hasse diagrams. The decoupling in the GTP description is straightforward, and
generalizes the standard flop transitions of curves in toric polygons. We apply
this approach to a large class of 5d KK-theories, and compute the Higgs
branches for their descendants. In particular we determine the decoupling tree
for all rank 2 5d SCFTs. For each tree, we also identify the flavor symmetry
algebras from the magnetic quivers, including non-simply-laced flavor
symmetries.
