Abstract
Scalars with lepton number violating interactions decaying into lepton pairs, as those mediating the see-saw of type II, always include doubly-charged components. If these are observed at the LHC, their electro-weak quantum numbers can be determined through their leptonic decays in pair and single production.
Highlights
LHC data, and especially the discovery of the Higgs boson, [1,2] have confirmed the validity of the minimal Standard Model (SM) below few hundreds of GeV, except for the very tiny neutrino masses
At what extent the accidental symmetries of the SM, like lepton number (LN), are exact, and if eventually the observation of their violation is within the LHC reach
Neutrino masses are so small, the mere observation of that they are non-vanishing requires the extension of the SM
Summary
LHC data, and especially the discovery of the Higgs boson, [1,2] have confirmed the validity of the minimal Standard Model (SM) below few hundreds of GeV, except for the very tiny neutrino masses. The simplest realization of this scenario results from the addition of heavy Majorana neutrinos, giving to the SM neutrinos a mass through the see-saw mechanism, named of type I [11,12,13,14,15] The observation of these extra neutral leptons may be problematic at the LHC because in the absence of other interactions they are produced through their mixing with the SM leptons [16,17,18], which is bounded to be small [19]. Branching ratios into same-sign lepton and gauge boson pairs are assumed to be sizable; and LNV eventually observable. It must be emphasized, that in the see-saw of type II, and in more elaborated models, both branching ratios are only similar in a small region of parameter space.
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