Neutrino dipole portal at a high energy $\mu-$collider

We study the phenomenology of $d=6$ dipole portal operators connecting active and sterile neutrinos at a futuristic muon collider. These operators can be the dominant portal between the Standard Model and the New Physics sector in scenarios in which the active-sterile mixing is suppressed. We identify two production modes for sterile neutrinos: one proceeding through the exchange of an $s-$channel electroweak boson and one arising from the fusion of an electroweak boson with a Standard Model lepton. We study the expected reach on the operators suppression scale for these different production mechanisms, showing that the latter offers the best sensitivity and allowing to test a New Physics scale in the $\sim 10\;$TeV range.