We analyze in detail the perturbative decay of the inflaton oscillating about a generic form of its potential V(φ) = φk, taking into account the effects of non-instantaneous reheating. We show that evolution of the temperature as a function of the cosmological scale factor depends on the spin statistics of the final state decay products when k > 2. We also include the inflaton-induced mass of the final states leading to either kinematic suppression or enhancement if the final states are fermionic or bosonic respectively. We compute the maximum temperature reached after inflation, the subsequent evolution of the temperature and the final reheat temperature. We apply our results to the computation of the dark matter abundance through thermal scattering during reheating. We also provide an example based on supersymmetry for the coupling of the inflaton to matter.
Bibliographical noteFunding Information:
This work was made possible by Institut Pascal at Universite Paris-Saclay with the support of the P2I and SPU research departments and the P2IO Laboratory of Excellence (program “Investissements d’avenir” ANR-11-IDEX-0003-01 Paris-Saclay and ANR-10-LABX-0038), as well as the IPhT. The work of MG was supported by the Spanish Agencia Estatal de Investigación through Grants No. FPA2015-65929-P (MINECO/FEDER, UE) and No. PGC2018095161-B-I00, IFT Centro de Excelencia Severo Ochoa SEV-2016-0597, and Red Consolider MultiDark FPA2017-90566-REDC. The work of K.A.O. was supported in part by DOE grant DE-SC0011842 at the University of Minnesota. The work of KK was supported by a KIAS Individual Grant (Grant No. PG080301) at Korea Institute for Advanced Study. MG would like to thank CNRS and the Laboratoire de Physique des 2 Infinis Irène Joliot-Curie for their hospitality and financial support of the IN2P3 master project “Hot Universe and Dark Matter” while completing this work.
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- dark matter theory
- particle physics - cosmology connection
- supersymmetry and cosmology