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The chiral magnetic effect (CME) is a novel transport phenomenon, arisingfrom the interplay between quantum anomalies and strong magnetic fields inchiral systems. In high-energy nuclear collisions, the CME may survive theexpansion of the quark-gluon plasma fireball and be detected in experiments.Over the past decade, the experimental searches for the CME have arousedextensive interest at the Relativistic Heavy Ion Collider (RHIC) and the LargeHadron Collider (LHC). The main goal of this article is to investigate threepertinent experimental approaches: the $\gamma$ correlator, the $R$ correlatorand the signed balance functions. We will exploit both simple Monte Carlosimulations and a realistic event generator (EBE-AVFD) to verify theequivalence in the kernel-component observables among these methods and toascertain their sensitivities to the CME signal for the isobaric collisions atRHIC.

Investigation of Experimental Observables in Search of the Chiral Magnetic Effect in Heavy-ion Collisions in the STAR experiment