Abstract

In the light of recent possible tensions in the Hubble constant H0 and the structure growth rate σ8 between the Planck and other measurements, we investigate a hidden-charged dark matter (DM) model where DM interacts with hidden chiral fermions, which are charged under the hidden SU(N) and U(1) gauge interactions. The symmetries in this model assure these fermions to be massless. The DM in this model, which is a Dirac fermion and singlet under the hidden SU(N), is also assumed to be charged under the U(1) gauge symmetry, through which it can interact with the chiral fermions. Below the confinement scale of SU(N), the hidden quark condensate spontaneously breaks the U(1) gauge symmetry such that there remains a discrete symmetry, which accounts for the stability of DM. This condensate also breaks a flavor symmetry in this model and Nambu–Goldstone bosons associated with this flavor symmetry appear below the confinement scale. The hidden U(1) gauge boson and hidden quarks/Nambu–Goldstone bosons are components of dark radiation (DR) above/below the confinement scale. These light fields increase the effective number of neutrinos by δNeff≃0.59 above the confinement scale for N=2, resolving the tension in the measurements of the Hubble constant by Planck and Hubble Space Telescope if the confinement scale is ≲1 eV. DM and DR continuously scatter with each other via the hidden U(1) gauge interaction, which suppresses the matter power spectrum and results in a smaller structure growth rate. The DM sector couples to the Standard Model sector through the exchange of a real singlet scalar mixing with the Higgs boson, which makes it possible to probe our model in DM direct detection experiments. Variants of this model are also discussed, which may offer alternative ways to investigate this scenario.

Highlights

  • Cold Dark Matter (CDM) has been one of the main paradigms to account for the missing mass in our Universe

  • On the observation side, such a scenario could help to resolve some controversies in the CDM paradigm [22, 23]; for example, some recent models [24,25,26,27,28] may relax the tensions in the Hubble constant H0 and the structure growth rate σ8 obtained in the Planck and other low red-shift measurements

  • The chiral dark radiation (DR), being massless assured by the symmetries in this model, consists of the hidden SU(N )charged quarks

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Summary

Introduction

Cold Dark Matter (CDM) has been one of the main paradigms to account for the missing mass in our Universe. We discuss a scenario where DM interacts with other very light particles even after the BBN time These light particles behave as dark radiation (DR) in the Universe. On the observation side, such a scenario could help to resolve some controversies in the CDM paradigm [22, 23]; for example, some recent models [24,25,26,27,28] may relax the tensions in the Hubble constant H0 and the structure growth rate σ8 obtained in the Planck and other low red-shift measurements. The DM-DR interactions induced by the exchange of the hidden U(1) gauge boson suppress the matter power spectrum for wave-number k 0.01 h/Mpc, and make the σ8 measurements consistent with each other.

Lagrangian
Confinement
Dark matter sector
Scalar sector
Thermalization of the dark sector
Relic density of dark matter
Decoupling of the dark sector
Dark Radiation and Diffusion Damping
Dark radiation
Diffusion damping
Conclusion and Discussions
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