Beyond the three types of conventional tree-level seesaw mechanisms and their low-scale variants,
the generation of light neutrino masses radiatively via quantum loop corrections leads to naturally
loop-suppressed small neutrino masses. The three types of seesaw mechanisms can be identified
with the only three minimal realisations of the single LNV operator at dimension-5. At the
nonrenormalizable level, lepton number violating (LNV) interactions can only occur at odd
dimensions in the Standard Model Effective Field Theory (SMEFT). Therefore, the radiative
models for neutrino mass generation can correspond to realisation of odd higher dimensional
LNV SMEFT operators at tree-level. Consequently, a comprehensive exploration of odd higher
dimensional LNV SMEFT operator gives a systematic and power way to capture classes of
radiative neutrino mass models in a model independent manner. In this proceeding, we discuss
how in some cases the naive cutoff based approach of estimating loop neutrino masses arising
from higher dimensional LNV SMEFT operators can break down and how employing dimensional
regularisation based approaches can lead to a much more reliable results.