Constraints on the Reheating Temperature in Gravitino Dark Matter Scenarios

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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13 pages, 15 figures, revised version accepted for publication (reheating phase considered, improved treatment of entropy prod

Scientific paper

10.1016/j.physletb.2007.02.072

Considering gravitino dark matter scenarios, we study constraints on the reheating temperature of inflation. We present the gauge-invariant result for the thermally produced gravitino yield to leading order in the Standard Model gauge couplings. Within the framework of the constrained minimal supersymmetric Standard Model (CMSSM), we find a maximum reheating temperature of about 10^7 GeV taking into account bound-state effects on the primordial $^6$Li abundance. We show that late-time entropy production can relax this constraint significantly. Only with a substantial entropy release after the decoupling of the lightest Standard Model superpartner, thermal leptogenesis remains a viable explanation of the cosmic baryon asymmetry within the CMSSM.

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