PT Journal AU Centelles Chulia, S Herrero-Brocal, A Vicente, A TI The Type-I Seesaw family SO Journal of High Energy Physics JI J. High Energy Phys. PY 2024 BP 060 EP 35pp VL 07 IS 7 DI 10.1007/JHEP07(2024)060 LA English DE Lepton Flavour Violation (charged); New Light Particles; Non-Standard Neutrino Properties; Specific BSM Phenomenology AB We provide a comprehensive analysis of the Type-I Seesaw family of neutrino mass models, including the conventional type-I seesaw and its low-scale variants, namely the linear and inverse seesaws. We establish that all these models essentially correspond to a particular form of the type-I seesaw in the context of explicit lepton number violation. We then focus into the more interesting scenario of spontaneous lepton number violation, systematically categorizing all inequivalent minimal models. Furthermore, we identify and flesh out specific models that feature a rich majoron phenomenology and discuss some scenarios which, despite having heavy mediators and being invisible in processes such as μ-> e gamma, predict sizable rates for decays including the majoron in the final state. ER