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Type-III Scotogenic Model: Inflation, Dark Matter and Collider Phenomenology

Labh Singh, Rahul Srivastava, Surender Verma, Sushant Yadav

TL;DR

This work embeds a real scalar singlet $χ$ into the Type-III scotogenic model to realize inflation via a non-minimal coupling to gravity, while $χ$ decouples at low energy and decays during reheating to populate the inert-doublet and triplet-fermion sectors. The model yields radiative neutrino masses at one loop and provides two dark-matter candidates, $η_R$ and $Σ^0_1$, with viable relic densities in distinct mass ranges and testable direct-detection and collider signatures. Inflationary observables align with Planck data for $n_s \approx 0.965$ and $r \approx 3\times10^{-3}$, while the reheating temperature is high enough ($T_R \sim 10^{10-11}$ GeV) to ensure efficient production of heavy dark-sector states. The paper analyzes theoretical and experimental constraints (stability, EWPT, Higgs mass, neutrino data, LEP/LHC bounds) and outlines collider prospects at ILC/CLIC and FCC-hh, highlighting a distinctive $1\ell + \cancel{E_T}$ signal as a smoking-gun for the triplet-fermion portal into the dark sector.

Abstract

We investigate an extension of the Type-III scotogenic model by incorporating a real singlet scalar. This scalar plays a crucial role as the inflaton due to its non-minimal coupling with the Ricci scalar. The inflaton field subsequently decays into other particles within the Type-III scotogenic framework. In this framework, the inert scalar doublet and fermion triplet are crucial for neutrino mass generation and present strong candidates for 25\% energy budget or dark matter in the Universe. We study their relic abundance and potential for direct detection. Furthermore, we discuss possible observational signals that could be identified in future collider experiments.

Type-III Scotogenic Model: Inflation, Dark Matter and Collider Phenomenology

TL;DR

This work embeds a real scalar singlet into the Type-III scotogenic model to realize inflation via a non-minimal coupling to gravity, while decouples at low energy and decays during reheating to populate the inert-doublet and triplet-fermion sectors. The model yields radiative neutrino masses at one loop and provides two dark-matter candidates, and , with viable relic densities in distinct mass ranges and testable direct-detection and collider signatures. Inflationary observables align with Planck data for and , while the reheating temperature is high enough ( GeV) to ensure efficient production of heavy dark-sector states. The paper analyzes theoretical and experimental constraints (stability, EWPT, Higgs mass, neutrino data, LEP/LHC bounds) and outlines collider prospects at ILC/CLIC and FCC-hh, highlighting a distinctive signal as a smoking-gun for the triplet-fermion portal into the dark sector.

Abstract

We investigate an extension of the Type-III scotogenic model by incorporating a real singlet scalar. This scalar plays a crucial role as the inflaton due to its non-minimal coupling with the Ricci scalar. The inflaton field subsequently decays into other particles within the Type-III scotogenic framework. In this framework, the inert scalar doublet and fermion triplet are crucial for neutrino mass generation and present strong candidates for 25\% energy budget or dark matter in the Universe. We study their relic abundance and potential for direct detection. Furthermore, we discuss possible observational signals that could be identified in future collider experiments.
Paper Structure (19 sections, 38 equations, 20 figures, 5 tables)

This paper contains 19 sections, 38 equations, 20 figures, 5 tables.

Table of Contents

  1. Introduction
  2. Model Set-up
  3. Inflation
  4. Neutrino Mass
  5. Constraints on the Model
  6. Boundedness from below
  7. Electroweak precision data
  8. Higgs Boson mass
  9. Neutrino oscillation data
  10. LEP Constraints
  11. LHC constraints on $\Sigma^{\pm}$
  12. Dark Matter Phenomenology
  13. Scalar Doublet Dark Matter ($\eta_{R}$)
  14. Triplet Fermion Dark Matter ($\Sigma^0_{1}$)
  15. Collider Phenomenology
  16. ...and 4 more sections

Figures (20)

  • Figure 1: The schematic diagram of slow-roll inflation.
  • Figure 2: The decay modes of the inflaton field at tree and one-loop levels are considered. Here, $G_{\nu}$ represents $W^{\pm}$ and $Z$ gauge bosons. The SM Higgs boson ($h$) is, also, permitted as a possible final state.
  • Figure 3: The Feynman diagram used to generate neutrino masses at one-loop in Type-III scotogenic model.
  • Figure 4: Lifetime of $\Sigma_1^{\pm}$ as a function of the triplet fermion mass, compared with ATLAS limits from disappearing charged track searches.
  • Figure 5: Predictions for the doublet DM case. In both panels, yellow/cyan points represent over/under abundant relic density Planck:2018vyg, respectively. The orange-colored points are excluded by LEP constraints Belyaev:2016lokCao:2007rm. The blue points satisfy the correct relic density. Left panel: Relic density vs mass of the doublet DM particle. Right panel: Spin-independent WIMP-nucleon direct detection cross section vs mass of the doublet DM particle. Red shaded region is ruled out by Higgs constraints similar to Bharadwaj:2024crt.
  • ...and 15 more figures