  The discovery of neutrino oscillations implies that neutrinos are massive and
mixed, necessitating an extension of the Standard Model, which may require the
introduction of non-standard neutrino interactions (NSI). We investigate the
potential of a high-energy muon collider to probe such NSIs with muons,
specifically focusing on muonic forces. By analyzing the monophoton signal from
the process $\mu^+ \mu^- \rightarrow \nu \overline{\nu } \gamma$, we explore
four-fermion contact interactions involving two muons and two neutrinos.
Moreover, we examine minimal models that generate scalar and vector-mediated
NSIs and study their phenomenology. Projected sensitivities for the strength of
NSIs, $\epsilon_{\alpha \beta}^{\mu \mu}$, are presented at a 95$\%$ confidence
level for a center-of-mass energy of 3 TeV and integrated luminosities of
$\mathcal{L} = 1$ and $10~\mathrm{ab}^{-1}$, showcasing the complementarity
between a muon collider and other experimental probes.
