Abstract
We show that the constraints on GMSB theories from the gravitino cosmology can be significantly relaxed if the messenger-spurion coupling is temperature dependent. We demonstrate this novel mechanism in a scenario in which this coupling depends on the VEV of an extra singlet field S that interacts with the thermalized plasma which can result in a significantly suppressed gravitino production rate. In such a scenario the relic gravitino abundance is determined by the thermal dynamics of the S field and it is easy to fit the observed dark matter abundance evading the stringent constraints on the reheating temperature, thus making gravitino dark matter consistent with thermal leptogenesis.
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Badziak, M., Dalianis, I. & Lalak, Z. Suppressing gravitino thermal production with a temperature-dependent messenger coupling. J. High Energ. Phys. 2016, 173 (2016). https://doi.org/10.1007/JHEP02(2016)173
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DOI: https://doi.org/10.1007/JHEP02(2016)173