Double Higgs mechanisms, supermassive stable particles and the vacuum energy

preprint2015arXivOpen access

Abstract

In the present work it is shown that some specific double Higgs like mechanisms may have interesting cosmological applications. A hidden scenario which cast long lived super heavy particles together with an extremely light particle aa with mass ma∼10−32−10−33m_a\sim 10^{-32}-10^{-33}eV is presented. The potential energy of this particle models the vacuum energy density of the universe ρc≃10−47  GeV4ρ_c\simeq 10^{-47}\;\hbox{GeV}^4. The construction of such scenario is non trivial since the presence of light particles may spoil the stability of the heavy particles. However, double Higgs mechanisms may be helpful for overcoming this problem. The hidden sector we propose include fermions with masses near the neutrino mass mν∼10−2m_ν\sim 10^{-2}eV which arise in terms of a see saw mechanism. Besides, the super heavy particles acquire a mass due to a double Higgs like mechanism of the order of the GUT scale. The gauge group of the model is SU(2)L\hbox{SU(2)}_L and the scalars of the double Higgs mechanism are not charged under these interactions. The light particle aa is the Goldstone boson associated to a Peccei-Quinn like symmetry in the double Higgs model. In addition, the double Higgs mechanism posses another CP odd scalar A0A^0, which acquire a mass of the order of the GUT scale. We show that if there is no direct coupling between A0A^0 and aa, even in presence of indirect couplings, the A0A^0 particle is long lived an may appear in events above the GKZ bound in present times.

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