If the muon is not composed of other particles, how can it end up as a set of other particles?
[1] https://en.wikipedia.org/wiki/Muon
This is a quantum effect, and it is not a decomposition but the disappearing of the muon and the appearing of the others (+ a lot of energy in between, coming and going).
An electron is an electron. However, when moving between orbitals in an atom, it “gets” a photon if it jumps “out”, it “loses” a photon when jumping “in”. But it is just an electron (with more or less energy).
With quantum mechanics there are no “real” particles to think about in terms of everyday life.
They all are just mathematical abstractions that help build models predicting the behavior of systems.
Nothing is really composed or decomposed in our everyday meaning. It’s just there are no better words to speak about such abstract concepts.