Radiative Correction from Secret Neutrino Interactions and Implications for Neutrino-Scattering Experiments

New, neutrinophilic mediators are one potential extension beyond the Standard Model of particle physics. Often, studies of neutrinophilic mediator consist of searching for direct evidence of its production and/or its tree-level virtual effect for generating strong neutrino self-interaction. In this work, we focus instead on the fact that such new mediators $\mathit{\text{also}}$ lead to deviations in neutrino-matter scattering via radiative corrections. With a mediator mass well below the electroweak scale, these effects are potentially observable in a variety of contexts, including coherent elastic neutrino-nucleus scattering (CEvNS), neutrino deeply-inelastic scattering ($\nu$DIS), and neutrino-electron scattering (e.g., at Borexino). Additionally, such effects lead to new contributions to the $Z$-boson decay width and to non-standard neutrino interactions relevant for long-baseline oscillation experiments. We explore all of these scenarios in some depth, building on the rich phenomenology associated with neutrinophilic mediators.