We perform a systematic analysis of dark matter production during postinflationary reheating. Following the period of exponential expansion, the inflaton begins a period of damped oscillations as it decays. These oscillations and the evolution of temperature of the thermalized decay products depend on the shape of the inflaton potential V(φ). We consider potentials of the form, φk. Standard matter-dominated oscillations occur for k=2. In general, the production of dark matter may depend on either (or both) the maximum temperature after inflation, or the reheating temperature, where the latter is defined when the Universe becomes radiation dominated. We show that dark matter production is sensitive to the inflaton potential and depends heavily on the maximum temperature when k>2. We also consider the production of dark matter with masses larger than the reheating temperature.
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The authors want to thank especially Christophe Kulikowski for very insightful discussions. This work was supported by the France-US PICS MicroDark. The work of Marcos Garcia 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. Marcos Garcia and Kunio Kaneta acknowledge support by Institut Pascal at Université Paris-Saclay during the Paris-Saclay Particle Symposium, 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. This project has received funding/support from the European Unions Horizon 2020 research and innovation programme under the Marie Skodowska-Curie grant agreements Elusives ITN No. 674896 and InvisiblesPlus RISE No. 690575. The work of Kunio Kaneta and Keith A. Olive was supported in part by the DOE Grant No. DE-SC0011842 at the University of Minnesota.
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