Probing TeV-scale Majorana neutrinos at a muon-proton collider via a lepton-number-violating fat-jet signature
We investigate the sensitivity to TeV-scale heavy Majorana neutrinos at a future muon-proton collider with $\sqrt{s}=5.3$~TeV, based on 1~TeV muon and 7~TeV proton beams. We focus on the lepton-number-violating (LNV) process $μ^- p \to jN$, followed by $N\toμ^+W^-\toμ^+J$, leading to the characteristic final state $jμ^+J$. Here, $j$ denotes the associated light jet from heavy-neutrino production, while $J$ denotes the fat jet originating from the hadronic decay of the highly boosted $W$ boson. This topology provides a clean experimental signature with strongly suppressed Standard Model backgrounds. A comprehensive signal and background analysis is performed using parton showering, fast detector simulation, and dedicated fat-jet reconstruction. We derive the projected $2σ$ exclusion limits on the muon-flavor mixing parameter $|V_{μN}|^2$ for integrated luminosities of $100$~fb$^{-1}$ and $1$~ab$^{-1}$. For heavy-neutrino masses in the range $1~\mathrm{TeV}\leq m_N\leq3~\mathrm{TeV}$, the projected upper limits on $|V_{μN}|^2$ range from $2.6\times10^{-6}$ to $5.9\times10^{-5}$ at $1$~ab$^{-1}$. These results show that a future $μp$ collider can provide competitive and complementary sensitivity to TeV-scale heavy Majorana neutrinos compared with other proposed high-energy facilities.