  We explore the discovery potential of light gravitino mass m_{3/2} by
combining future cosmology surveys and collider experiments. The former probe
the imprint of light gravitinos in the cosmic matter density field, whereas the
latter search signatures of a supersymmetry breaking mechanism. Free-streaming
of light gravitinos suppresses the density fluctuations at galactic and
sub-galactic length scales, where weak gravitational lensing can be used as a
powerful probe. We perform numerical simulations of structure formation to
quantify the effect. We then run realistic ray-tracing simulations of
gravitational lensing to measure the cosmic shear in models with light
gravitino. We forecast the possible reach of future wide-field surveys by
Fisher analysis; the light gravitino mass can be determined with an accuracy of
m_{3/2}=4\pm 1 eV by a combination of the Hyper Suprime Cam survey and cosmic
microwave background anisotropy data obtained by Planck satellite. The
corresponding accuracy to be obtained by the future Large Synoptic Survey
Telescope is \delta m_{3/2}=0.6 eV. Data from experiments at Large Hadron
Collider at 14 TeV will provide constraint at m_{3/2} \simeq 5 eV in the
minimal framework of gauge-mediated supersymmetry breaking (GMSB) model. We
conclude that a large class of the GMSB model can be tested by combining the
cosmological observations and the collider experiments.
