Interference bands in decays of doubly-charged Higgs bosons to dileptons in the minimal type-II seesaw model at the TeV scale

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The dileptonic decays of doubly-charged Higgs bosons H^{\pm\pm} are investigated in the minimal type-II seesaw model with one Higgs triplet Δand one heavy Majorana neutrino N_1 at the TeV scale. We show that the branching ratios {\cal B}(H^{\pm\pm} \to l^\pm_αl^\pm_β) depend not only on the mass and mixing parameters of three light neutrinos ν_i (for i=1,2,3), but also on those of N_1. Assuming the mass of N_1 to lie in the range 200 GeV--1 TeV, we figure out the generous interference bands for the contributions of ν_i and N_1 to {\cal B}(H^{\pm\pm} \to l^\pm_αl^\pm_β): \sqrt{|\sinθ_{i4} \sinθ_{j4}|} \sim 10^{-8}--10^{-5}, where θ_{i4} and θ_{j4} measure the strength of charged-current interactions of N_1. We illustrate some salient features of the interference bands by considering three typical mass patterns of ν_i, and stress that it is very difficult to distinguish the type-II seesaw model from the triplet seesaw model in such a parameter region at the Large Hadron Collider.
RevTex 14 pages, 3 figures, more discussions added, accepted for publication in Phys. Lett. B

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