Heavy sterile neutrinos with masses below MW can induce trilepton events at the 14 TeV LHC through purely leptonic W decays of W±→e±e±μ∓ν and μ±μ±e∓ν where the heavy neutrino will be in an intermediate state on its mass shell. Discovery and exclusion limits for the heavy neutrinos are found using both cut-and-count (CC) and multivariate analysis (MVA) methods in this study. We also show that it is possible to discriminate between a Dirac and a Majorana heavy neutrino, even when lepton number conservation cannot be directly tested due to unobservability of the final state neutrino. This discrimination is done by exploiting a combined set of kinematic observables that differ between the Majorana and Dirac cases. We find that the MVA method can greatly enhance the discovery and discrimination limits in comparison with the CC method. For a 14-TeV pp collider with integrated luminosity of 3000fb−1, sterile neutrinos can be found with 5σ significance if heavy-to-light neutrino mixings |UNe|2∼|UNμ|2∼10−6, while the Majorana vs Dirac type can be distinguished if |UNe|2∼|UNμ|2∼10−5 or even |UNℓ|2∼10−6 if one of the mixing elements is at least an order of magnitude smaller than the other.

• Received 6 March 2017

DOI:https://doi.org/10.1103/PhysRevD.95.115020