Scalar Decay into Gravitinos in the Presence of D-term SUSY Breaking
Motoi Endo, Koichi Hamaguchi, Takahiro Terada

TL;DR
This paper investigates how D-term SUSY breaking influences scalar decay into gravitinos, providing a general decay rate formula and demonstrating suppression of gravitino production in specific models, addressing cosmological issues.
Contribution
It derives a general formula for scalar decay into gravitinos and shows D-term SUSY breaking can suppress gravitino production in concrete models.
Findings
Derived a formula for scalar decay into two gravitinos.
Showed D-term SUSY breaking suppresses gravitino production.
Applied the formula to a specific D-term SUSY breaking model.
Abstract
Scalar decay into gravitinos is studied in the presence of D-term supersymmetry (SUSY) breaking. The gravitinos produced by the decay of coherent oscillations of scalar fields, such as moduli and inflatons, cause cosmological problems. We show the general formula for the partial decay rate of the scalar into two gravitinos. Applying it to a concrete model of D-term SUSY breaking, we find that D-term SUSY breaking can suppress gravitino production.
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