Renormalization Group Study of the Minimal Majoronic Dark Radiation and Dark Matter Model

Abstract

We study the 1-loop renormalization group equation running in the simplest singlet Majoron model constructed by us earlier to accommodate the dark radiation and dark matter content in the universe. A comprehensive numerical study was performed to explore the whole model parameter space. A smaller effective number of neutrinos $△N_{eff}\sim 0.05$, or a Majoron decoupling temperature higher than the charm quark mass, is preferred. We found that a heavy scalar dark matter, $\rho$, of mass $1.5-4$ TeV is required by the stability of the scalar potential and an operational type-I see-saw mechanism for neutrino masses. A neutral scalar, $S$, of mass in the $10-100$ GeV range and its mixing with the standard model Higgs as large as $0.1$ is also predicted. The dominant decay modes are $S$ into $b\bar{b}$ and/or $\omega \omega$. A sensitive search will come from rare $Z$ decays via the chain $Z\to S+f\bar{f}$, where $f$ is a Standard Model fermion, followed by $S$ into a pair of Majoron and/or b-quarks. The interesting consequences of dark matter bound state due to the sizable $S\rho \rho$-coupling are discussed as well. In particular, shower-like events with an apparent neutrino energy at $M_{\rho }$ could contribute to the observed effective neutrino flux in underground neutrino detectors such as IceCube.

33 pages,11 figures, published version

References in corpus (2)

• A Simple Motivated Completion of the Standard Model below the Planck Scale: Axions and Right-Handed Neutrinos
• A Minimal Model of Majoronic Dark Radiation and Dark Matter

Cited by in corpus (10)

• Supernova Constraints on Massive (Pseudo)Scalar Coupling to Neutrinos
• Exotic Gravitational Wave Signatures from Simultaneous Phase Transitions
• Portals into Higgs vacuum stability
• Signal for a light singlet scalar at the LHC
• Global $U(1{)}_L$ Breaking in Neutrinophilic 2HDM: From LHC Signatures to X-Ray Line
• Prospects for Detecting light bosons at the FCC-ee and CEPC
• Study of Gauged Lepton Symmetry Signatures at Colliders
• Effects of quantum statistics on relic density of Dark Radiation
• Alternative Perspective on Gauged Lepton Number and Implications for Collider Physics
• Consequences of Neutrinoless Double Decays Dominated by Short Range Interactions