Sliding dumbbell method to search for the CME in heavy-ion collisions

This study explores the chiral magnetic effect (CME) in ultra-relativistic heavy-ion collisions. The CME, observed as back-to-back charge separation along the magnetic field axis, is investigated using the newly developed sliding dumbbell method (SDM) applied to Au \(+\) $+$ Au events at a centre-of-mass energy \(\sqrt{s}_{\text {NN}}=\) ${\sqrt{s}}_{\text{NN}}=$ 200 GeV generated by the AMPT model with string melting configuration. The CME-like signal is externally injected in the events by flipping charges of pairs of particles perpendicular to the reaction plane. The study reports a significant enhancement of the CME-sensitive 3-particle \(\gamma \) $\gamma$ correlator in events with high back-to-back charge separation, in a given collision centrality. Additionally, a linear relationship is observed between the \(\sqrt{|\gamma |}\) $\sqrt{|\gamma |}$ correlator for the same-sign charge pairs and positive charge asymmetry ( \(\langle A^{+}\rangle \) $⟨A^{+}⟩$ ) across the dumbbell in CME-enriched sub-samples. Furthermore, the fraction of CME in \(\Delta \gamma \) $\mathrm{\Delta }\gamma$ (difference between the opposite and same sign \(\gamma \) $\gamma$ correlators) is presented across different collision centralities having different percentages of externally injected CME-like signal. Overall, the research aims to understand and detect the CME through innovative experimental method and detailed analysis of the event structure.