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We explore the discovery potential of light gravitino mass m_{3/2} bycombining future cosmology surveys and collider experiments. The former probethe imprint of light gravitinos in the cosmic matter density field, whereas thelatter search signatures of a supersymmetry breaking mechanism. Free-streamingof light gravitinos suppresses the density fluctuations at galactic andsub-galactic length scales, where weak gravitational lensing can be used as apowerful probe. We perform numerical simulations of structure formation toquantify the effect. We then run realistic ray-tracing simulations ofgravitational lensing to measure the cosmic shear in models with lightgravitino. We forecast the possible reach of future wide-field surveys byFisher analysis; the light gravitino mass can be determined with an accuracy ofm_{3/2}=4\pm 1 eV by a combination of the Hyper Suprime Cam survey and cosmicmicrowave background anisotropy data obtained by Planck satellite. Thecorresponding accuracy to be obtained by the future Large Synoptic SurveyTelescope is \delta m_{3/2}=0.6 eV. Data from experiments at Large HadronCollider at 14 TeV will provide constraint at m_{3/2} \simeq 5 eV in theminimal framework of gauge-mediated supersymmetry breaking (GMSB) model. Weconclude that a large class of the GMSB model can be tested by combining thecosmological observations and the collider experiments.

Weighing the Light Gravitino Mass with Weak Lensing Surveys