  Nonstandard neutrino interactions (NSI) arising from light and heavy
mediators probe different sectors of the parameter space of models focusing on
phenomena that require the extension of the standard model. High-energy
scattering experiments are not relevant on constraining the NSI hiding a light
mediator at the fundamental level, while flavour-universal NSI cannot be probed
with neutrino oscillation experiments. Currently the only way to measure
flavour-universal NSI with a light mediator is to rely on coherent elastic
neutrino-nucleon scattering experiments, which we use to derive bounds for
light mediator flavour-universal NSI. For light NSI, we obtain $\varepsilon^u
\in [-14.85,14.79]$ and $\varepsilon^d \in [-13.19,13.84]$ (90~\% CL.). We also
derive constraints on flavour-universal heavy NSI and find a 2$\sigma$ tension.
Finally, we discuss the implications of the experiments on the allowed
parameter space of a specific example model, called superweak extension of the
standard model.
