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Gravitino thermal production revisited
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We calculate the gravitino production rate, computing its one-loop thermal self-energy. Gravitino production processes that do not result through thermal cuts of its self-energy, have been identified and taken into account. Correcting analytical errors and numerical approximations in the previous calculations, we present our result. This deviates from the latest estimation by almost 10%. More importantly, we provide a convenient formula, for calculating the gravitino production rate and its thermal abundance, as a function of the reheating temperature of the Universe.
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Cited by 3 Pith papers
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ALP Production from Abelian Gauge Bosons: Beyond Hard Thermal Loops
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Induced-Gravity Palatini-Like Higgs Inflation in Supergravity Confronts ACT DR6
A Palatini-supergravity Higgs-inflation model with induced gravity predicts a scalar spectral index ns≈0.972-0.974, consistent with ACT DR6, and favors split supersymmetry with gravitino mass 40-60 PeV.
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Updated BBN Bounds on Hadronic Injection in the Early Universe: The Gravitino Problem
With current light-element abundances, hadronic decays of long-lived particles are excluded above a yield curve in lifetime, and for gravitinos this translates into reheating temperature upper limits as low as 5×10^5 GeV.
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