Modeling radiation damage in the pixel sensors of the ATLAS detector

As the integrated luminosity delivered by the Large Hadron Collider increases, radiation damage effects are increasingly apparent in the response of the vertex detectors of the experiments. In this contribution, measurements of these effects are discussed for the Pixel Detector of the ATLAS experiment, which by the end of the LHC Run 2 has received a fluence of up to $10^{15} \mbox{n}_{eq} \mbox{cm}^{-2}$. Measurements of leakage current, Lorentz angle, and charge collection efficiency are discussed and compared to predictions from the Hamburg radiation damage model, TCAD based calculations, and a detailed simulation of the pixel sensor response which accounts also for the modifications to the electric field and charge collection efficiency induced by the radiation damage.