We study the fermionic quasiparticle spectrum in a zero-temperature superfluid Fermi gas, and particular how it is modified by different disintegration processes. On top of emission collective boson ($1\to2$, subject previous study, PRL 124, 073404), we consider here events where three quasiparticles are emitted ($1\to3$). show that both processes described $t$-matrix self-energy (as well as so...