Search for Non-Pointing Photons in the Diphoton and Missing Transverse Energy Final State in 7 TeV $pp$ Collisions Using the ATLAS Detector

A search for photons originating in the decay of a neutral long-lived particle produced in proton-proton collisions at $\sqrt{s}= 7~\mathrm{TeV}$ is presented. The search was performed in the diphoton plus missing transverse energy final state, using the full data sample of $4.8~fb^{-1}$ of $7~\mathrm{TeV}$ proton-proton collisions collected in 2011 with the ATLAS detector at the CERN Large Hadron Collider. The analysis exploits the capabilities of the ATLAS electromagnetic calorimeter to make precise measurements of the flight direction of photons, and utilizes the excellent time resolution of the calorimeter as an independent cross-check of the results. The search was conducted in the context of Gauge Mediated Supersymmetry Breaking models, where the lightest neutralino is the next-to-lightest supersymmetric particle and has a finite lifetime. In the family of models investigated, supersymmetric particles are produced in pairs due to $R$-parity conservation, eventually decaying to a pair of neutralinos, each subsequently decaying to a photon and a gravitino. The gravitinos escape the detector, giving rise to missing energy, while the photons can appear not to originate from the primary vertex of the event, and are measured with a delay with respect to the collision time. No excess was observed above the background expected from Standard Model processes. The results were used to set exclusion limits at 95% CL in the two-dimensional parameter space defined by the supersymmetry breaking scale and the lifetime of the lightest neutralino.