Abstract

The Starobinsky inflation model is one of the simplest inflation models that is consistent with the cosmic microwave background observations. In order to explain dark matter of the universe, we consider a minimal extension of the Starobinsky inflation model with introducing the dark sector which communicates with the visible sector only via the gravitational interaction. In Starobinsky inflation model, a sizable amount of dark-sector particle may be produced by the inflaton decay. Thus, a scalar, a fermion or a vector boson in the dark sector may become dark matter. We pay particular attention to the case with dark non-Abelian gauge interaction to make a dark glueball a dark matter candidate. In the minimal setup, we show that it is difficult to explain the observed dark matter abundance without conflicting observational constraints on the coldness and the self-interaction of dark matter. We propose scenarios in which the dark glueball, as well as other dark-sector particles, from the inflaton decay become viable dark matter candidates. We also discuss possibilities to test such scenarios.

Highlights

  • We pay particular attention to the case of dark non-Abelian gauge sector

  • For instance the DM can be produced via the coupling to SM particles [19,20,21], or via the inflaton decay by assuming the vanishing coupling to the SM particles [22]. (See the DM production from inflaton decay in a general context for heavy DM candidates [23,24,25,26,27,28,29,30] and light sub-keV DM candidates [31, 32].) Our scenario may be regarded as a concrete model of self-interacting DM produced by the inflaton decay

  • We consider the Starobinsky inflation, which is motivated from the current CMB observation, and assume a dark sector containing a DM candidate, which automatically suppresses the coupling to the SM particles

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Summary

Starobinsky inflation model

We summarize basic properties of the Starobinsky inflation which are necessary for our analysis. We start with the action in the Jordan frame for the Starobinsky inflation [2]: with. We use the action given in eq (2.3), which is more convenient for our discussion. With the action Sgrav given above, there exists a physical scalar degree of freedom which is often called scalaron; the scalaron plays the role of the inflaton in the Starobinsky inflation model. Regarding V (φ) as the inflaton potential, the curvature perturbation amplitude As, the scalar spectral index ns, and the tensor-to-scalar ratio r are evaluated as. The scalar spectral index becomes consistent with the observed value while the tensor-to-scalar ratio is well below the current upper bound [1]

Reheating
Mass density of dark glueball: minimal case
Constraints
Dark glueball as dark matter
Entropy production
Other loopholes
Other dark matter candidates
Dark matter from inflaton decay
Dark matter from scalar coherent oscillation
Summary

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