  We systematically investigate the intricate interplay between short-range
fermion-fermion interactions and disorder scatterings beneath the
superconducting dome of noncentrosymmetric nodal-line superconductors.
Employing the renormalization group that unbiasedly treats all kinds of
potential degrees of freedom, we establish energy-dependent coupled flows for
all associated interaction parameters. Decoding the low-energy information from
these coupled evolutions leads to the emergence of several intriguing behavior
in the low-energy regime. At first, we identify eight distinct types of fixed
points, which are determined by the competition of all interaction parameters
and dictate the low-energy properties. Next, we carefully examine and unveil
distinct fates of physical implications as approaching such fixed points. The
density of states of quasiparticles displays a linear dependence on frequency
around the first fixed point, while other fixed points present diverse
frequency-dependent behavior. Compressibility and specific heat exhibit unique
trends around different fixed points, with the emergence of non-Fermi-liquid
behavior nearby the fifth fixed point. Furthermore, after evaluating the
susceptibilities of the potential states, we find that a certain phase
transition below the critical temperature can be induced when the system
approaches the fifth fixed point, transitioning from the nodal-line
superconducting state to another superconducting state. This research would
enhance our understanding of the unique behavior in the low-energy regime of
nodal-line superconductors.
