Modified majoron model for cosmological anomalies

Abstract

The vacuum expectation value $v_s$ of a Higgs triplet field $\Delta$ carrying two units of lepton number $L$ induces neutrino masses $\propto v_s$. The neutral component of $\Delta$ gives rise to two Higgs particles, a pseudoscalar $A$ and a scalar $S$. The most general renormalizable Higgs potential $V$ for $\Delta$ and the Standard-Model Higgs doublet $\Phi$ 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 $Z\to AS$ 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 $\Delta$ dominantly couples to the third-generation doublet $L_{\tau }=({\nu }_{\tau },\tau )$, the deficit of ${\nu }_{\tau }$ 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.

5 pages, 2 figures. More pedagogical explanation of model and UV completion (with extra figure), typos fixed

References in corpus (4)

• Interacting neutrinos in cosmology: exact description and constraints
• Inflation meets neutrinos
• Revisiting Neutrino Self-Interaction Constraints from $Z$ and $\tau$ decays
• Next-to-leading order unitarity fits in Two-Higgs-Doublet models with soft ${\mathbb{Z}}_2$ breaking

Cited by in corpus (7)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Intimate Relationship Between Sterile Neutrino Dark Matter and $\Delta N_{\mathrm{eff}}$
• Self-Interacting Neutrinos in Light of Large-Scale Structure Data
• The two-mode puzzle: Confronting self-interacting neutrinos with the full shape of the galaxy power spectrum
• Strong constraints on a simple self-interacting neutrino cosmology
• Fresh Look at Neutrino Self-Interactions With the Lyman-$\alpha$ Forest: Constraints from EFT and PRIYA Simulations
• Type-II Majoron Dark Matter