Probing Non-Thermal Gravitinos Through Large-Scale Structure Observations

We investigate the effects of non-thermally produced dark matter on large-scale structure formation, focusing on the gravitino dark matter. Our analysis shows that large-scale structure measurements from the SDSS LRG data offer a promising approach to probing non-thermally produced gravitinos. Specifically, if gravitinos resulting from neutralino decay constitute a fraction $F_\text{dec}=0.35~(0.1)$ of the dark matter component, the data exclude bino-like neutralino with a mass $m_{\chi_1^0}\lesssim 25~(11)\text{ GeV}$ at $95\%\text{ C.L.}$. Furthermore, this constraint appears to be largely independent of the gravitino mass.