Studying Very Light Gravitino at the ILC

Abstract

A collider signal with a stable gravitino of $\mathcal{O}(10)$eV mass at the International Linear Collider (ILC) experiment is investigated. Such a light gravitino is generally predicted in the low-scale gauge mediation scenario of the supersymmetry breaking. We particularly focus on the case that the next lightest supersymmetric particle is stau, which eventually decays into a gravitino and a $\tau$-lepton. With such a small gravitino mass, the lifetime of the stau is $10^{-15}$--$10^{-11}$sec, and the produced stau decays before reaching the first layer of the inner detector of the ILC. It is shown, however, that the lifetime can be determined from the distribution of the impact parameter, which is obtained by observing charged tracks caused by decay products of the $\tau$-lepton. This measurement also enables us to estimate the mass of the gravitino and determine the scale of the supersymmetry breaking. Based on a simulation study, we found that the lifetime can be measured when it is longer than $\sim 10^{-14}$sec and the stau mass is about 100GeV.

10 pages, 5 figures

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Cited by in corpus (4)

• Cosmological Constraint on the Light Gravitino Mass from CMB Lensing and Cosmic Shear
• Heavy Squarks and Light Sleptons in Gauge Mediation ~From the viewpoint of 125 GeV Higgs Boson and Muon g-2~
• Weighing the Light Gravitino Mass with Weak Lensing Surveys
• Exploring Supersymmetric Model with Very Light Gravitino at the LHC