Distinguishing Dirac/Majorana sterile neutrinos at the LHC

We study the purely leptonic decays of W±→e±e±μ ν and μ±μ±eν produced at the LHC, induced by sterile neutrinos with mass mN below MW in the intermediate state. Since the final state neutrino escapes detection, one cannot tell whether this process violates lepton number, which would indicate a Majorana character for the intermediate sterile neutrino. Our study shows that when the sterile neutrino mixings with electrons and muons are different enough, one can still discriminate between the Dirac and Majorana character of this intermediate neutrino by simply counting and comparing the above decay rates. After performing collider simulations and statistical analysis, we find that at the 14 TeV LHC with an integrated luminosity of 3000 fb-1, for two benchmark scenarios mN=20 and 50 GeV, at least a 3σ level of exclusion on the Dirac case can be achieved for disparities as mild as, e.g., |UNe|2<0.7|UNμ|2 or |UNμ|2<0.7|UNe|2, provided that |UNe|2 and |UNμ|2 are both above ∼2×10-6.