Muon collider probes of Majorana neutrino dipole moments and masses

Majorana neutrinos may have transitional dipole moments, which violate lepton number as well as lepton flavour. We estimate the sensitivity of future colliders to the electron-muon neutrino dipole moment, λeμ, by considering same-sign dilepton final states. We find that hadron colliders, even the proposed FCC-hh, are sensitive only to |λeμ| ≳ 10−9μB (with μB the Bohr magneton), a value two-three orders of magnitude larger than current bounds from astrophysics and low-energy neutrino-scattering experiments. In the case of a future muon collider, we show that the sensitivity varies from |λeμ| ~ 5 ∙ 10−9μB for energy s ≃ 3 TeV, to ∼ 10−12μB for s ≃ 50 TeV, matching the current laboratory bounds for s ≃ 30 TeV. The singular advantage of the muon collider signal would be a direct, clean identification of lepton number and flavour violation. We also show that a muon collider would improve by orders of magnitude the direct bounds on meμ and mμμ, two of the entries of the Majorana neutrino mass matrix. These bounds could be as strong as ∼ 50 keV, still far above the neutrino mass scale.