Thermal production of gravitinos

We reconsider thermal production of gravitinos in the early universe, adding to previously considered $2\to 2$ gauge scatterings: (a) production via $1\to 2$ decays, allowed by thermal masses: this is the main new effect, (b) the effect of the top Yukawa coupling, and (c) a proper treatment of the reheating process. Our final result behaves physically (larger couplings give a larger rate) and is twice larger than previous results, implying e.g. a constraint on the reheating temperature that is twice as strong. Accessory results about (supersymmetric) theories at finite temperature and gravitino couplings might have some pertinence.