Quantum corrections as a Bound for Detecting Self-Interacting Ultralight Dark Matter
We investigate the implications of interactions between ultralight dark matter (ULDM) and Standard Model fermions for the radiative stability of the ULDM potential. By matching the heavy fermion onto a low-energy scalar effective field theory, we derive the one-loop threshold corrections to the ULDM mass and self-interaction couplings. We interpret these corrections in terms of radiative naturalness conditions. For the parameter region motivated by cosmological and galactic considerations, the quadratic correction provides the strongest naturalness criterion, while the direct and cubic-induced quartic corrections remain subdominant. Our results illustrate how radiative effects can constrain the parameter space satisfying our radiative-naturalness criterion based on threshold corrections.