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The connection between the neutrinoless double beta ((\beta\beta)_{0 \nu}-)decay effective Majorana mass, |M_{ee}|, and the branching ratios of the decaysH^{\pm\pm}\to l^\pm {l'}^\pm, l,{l'}= e,\mu, of the doubly charged Higgs bosonH^{\pm\pm} is analysed within the Higgs Triplet Model of neutrino massgeneration. We work in the version of the model with explicit breaking of thetotal lepton charge conservation, in which H^{\pm\pm}\to l^\pm {l'}^\pm, l,{l'}= e,\mu,\tau, are the dominant decay modes of H^{\pm\pm}. It is assumed alsothat H^{\pm\pm} are relatively light so that they can be produced at LHC andthe branching ratios of interest measured. Taking into account the current andprospective uncertainties in the values of the neutrino mixing parameters mostrelevant for the problem studied - the atmospheric neutrino mixing angle\theta_{23} and the CHOOZ angle \theta_{13}, and allowing the lightest neutrinomass and the CP violating Dirac and Majorana phases to vary in the intervals[0, 0.3 eV] and [0, 2\pi], respectively, we derive the regions of values ofBR(H^{\pm\pm}\to e^\pm e^\pm) and BR(H^{\pm\pm}\to e^\pm \mu^\pm) for which|M_{ee}|\geq 0.05 eV, or |M_{ee}| < 0.05 eV. This is done for neutrino massspectrum with normal ordering, inverted ordering and in the case when the typeof the spectrum is not known, and i) without using the possible additional dataon BR(H^{\pm\pm}\to \mu^\pm \mu^\pm), ii) using prospective data onBR(H^{\pm\pm}\to \mu^\pm \mu^\pm). In the latter case results for severalvalues of BR(H^{\pm\pm}\to \mu^\pm\mu^\pm) are presented.

Neutrinoless Double Beta Decay and H^{\pm\pm}\to {l'}^\pm l^\pm Decays in the Higgs Triplet Model