Modified majoron model for cosmological anomalies

The vacuum expectation value v$_{s}$ of a Higgs triplet field Δ carrying two units of lepton number L induces neutrino masses ∝v$_{s}$. The neutral component of Δ gives rise to two Higgs particles, a pseudoscalar A and a scalar S. The most general renormalizable Higgs potential V for Δ and the Standard-Model Higgs doublet Φ does not permit the possibility that the mass of either A or S is small, of order v$_{s}$, while the other mass is heavy enough to forbid the decay Z→AS to comply with LEP 1 data. We present a model with additional dimension-6 terms in V, in which this feature is absent and either A or S can be chosen light. Subsequently we propose the model as a remedy to cosmological anomalies, namely the tension between observed and predicted tensor-to-scalar mode ratios in the cosmic microwave background and the different values of the Hubble constant measured at different cosmological scales. Furthermore, if Δ dominantly couples to the third-generation doublet L$_{τ}$=(v$_{τ}$,τ), the deficit of v$_{τ}$ events at IceCube can be explained. The singly and doubly charged triplet Higgs bosons are lighter than 280 GeV and 400 GeV, respectively, and could be found at the LHC.