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We provide a phenomenological analysis of present experimental searches forlocal parity violation manifested through the Chiral Magnetic Effect. Weintroduce and discuss the relevant correlation functions used for themeasurements. Our analysis of the available data from both RHIC and LHC showsthat the present experimental evidence for the Chiral Magnetic Effect is ratherambiguous. We further discuss in some detail various background contributionsdue to conventional physics, which need to be understood quantitatively inorder to draw a definitive conclusion about the existence of local parityviolation in heavy ion collisions.

Charge-Dependent Correlations in Relativistic Heavy Ion Collisions and the Chiral Magnetic Effect