Doubly charged Higgs bosons and three-lepton signatures in the Higgs Triplet Model

Doubly charged Higgs bosons, H^{\pm\pm}, are being searched for in the Tevatron experiments. The most recent search by the D0 collaboration seeks three muons (mu^\pm\mu^\pm\mu^\mp), which are assumed to originate from the pair-production process, q\overline q\to H^{++}H^{--}, followed by the decay H^{\pm\pm} \to \mu^\pm \mu^\pm. In this three-lepton (3l) channel there are six distinct signatures for l=e or \mu. In the context of the Higgs Triplet Model, we quantify the dependence of the event numbers for the 3l channels on the parameters of the neutrino mass matrix. It is also shown that the inclusion of the production mechanism q \overline{q'} \to H^{\pm\pm}H^{\mp}, followed by the decay H^\pm\to l^ \pm\nu, would significantly increase the discovery potential in these channels. We then provide perspectives on the production of these channels at the Tevatron and LHC.