  Detecting TeV--PeV cosmic neutrinos provides crucial tests of neutrino
physics and astrophysics. The statistics of IceCube and the larger proposed
IceCube-Gen2 demand calculations of neutrino-nucleus interactions subdominant
to deep-inelastic scattering, which is mediated by weak-boson couplings to
nuclei. The largest such interactions are W-boson and trident production, which
are mediated instead through photon couplings to nuclei. In a companion paper
[1], we make the most comprehensive and precise calculations of those
interactions at high energies. In this paper, we study their phenomenological
consequences. We find that: (1) These interactions are dominated by the
production of on-shell W-bosons, which carry most of the neutrino energy, (2)
The cross section on water/iron can be as large as 7.5%/14% that of
charged-current deep-inelastic scattering, much larger than the quoted
uncertainty on the latter, (3) Attenuation in Earth is increased by as much as
15%, (4) W-boson production on nuclei exceeds that through the Glashow
resonance on electrons by a factor of $\simeq$ 20 for the best-fit IceCube
spectrum, (5) The primary signals are showers that will significantly affect
the detection rate in IceCube-Gen2; a small fraction of events give unique
signatures that may be detected sooner.
