Abstract

We revisit the non-thermal dark matter (DM) production during the thermalization and reheating era after inflation. The decay of inflaton produces high-energy particles that are thermalized to complete the reheating of the Universe. Before the thermalization is completed, DM can be produced from a collision between the high-energy particles and/or the ambient plasma. We calculate the DM abundance produced from these processes for the case where the cross section of the DM production is proportional to the n-th power of the center of mass energy. We find that the collision between the high-energy particles is almost always dominant for n ≳ 4 while it is subdominant for n≲2. The production from the ambient plasma is dominant when n≲3 and the reheating temperature is of the order of or larger than the DM mass. The production from a collision between the high-energy particle and the ambient plasma is important for n ≲ 2 and the reheating temperature is much lower than the DM mass.

Highlights

  • We calculate the dark matter (DM) abundance produced from these processes for the case where the cross section of the DM production is proportional to the n-th power of the center of mass energy

  • We will see that the contribution (A) is dominant when the cross section of DM production depends positively and strongly on the center of mass energy as considered in ref

  • The contribution (B) is important when the cross section is mildly dependent on the center of mass energy and the reheating temperature is much lower than the DM mass

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Summary

Thermalization era

We briefly review the thermalization process of inflaton decay products, which is relevant to the computation of the non-thermal production rate of dark matter in the post-reheating era. Where Γφ is the decay rate of the inflaton After this happens t tmax, the energy and number density of radiation is dominated by the thermalized sector. High-energy particles are continuously produced from the inflaton decay until the Hubble parameter decreases to the decay rate: Γφ H This is the time when the reheating is completed and the Universe becomes to be dominated by thermal radiation. This process is completed within a Hubble time for T < Tmax, there remains a tail of cascading particles because the inflaton continuously sources the high-energy particles. The spectrum of these cascading particles can be estimated as follows. The scattering involving particles in the high-energy tail is the dominant process when the cross section of DM production process positively depends on the center of mass energy and/or the reheating temperature is smaller than the DM mass

DM production during the thermalization era
Conclusions and discussion
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