We consider a scenario where, along with the usual Higgs doublet, two scalar triplets are present. The extension of the triplet sector is required for the Type II seesaw mechanism for the generation of neutrino masses, if this mechanism has to generate a neutrino mass matrix with two-zero texture. One $CP$-violating phase has been retained in the scalar potential of the model, and all parameters have been chosen consistently with the observed neutrino mass and mixing patterns. We find that a large phase ($\gtrsim 60°$) splits the two doubly charged scalar mass eigenstates wider apart, so that the decay $H_1^{++}\to H_2^{++}h$ is dominant (with $h$ being the 125 GeV scalar). We identify a set of benchmark points where this decay dominates. This is complementary to the situation, reported in our earlier work, where the heavier doubly charged scalar decays as $H_1^{++}\to H_2^{+}{W}^{+}$. We point out the rather spectacular signal, ensuing from $H_1^{++}\to H_2^{++}h$, in the form of Higgs plus the same-sign dilepton peak, which can be observed at the Large Hadron Collider.

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• Extensions of Higgs sector
• Leptonic, semileptonic & radiative decays
• Neutrinos
• CP violation