CME Search in Isobar \((^{96}_{44}Ru\!+^{96}_{44}Ru\) \(\mathrm{and\,}^{96}_{40}Zr\!+^{96}_{40}Zr\) ) Collisions at \(\sqrt{s_{\mathrm NN}} = 200\) GeV Using SDM at RHIC

Experiments conducted in the last decade to search for the Chiral Magnetic Effect (CME) in heavy-ion collisions have been inconclusive. Isobar program at RHIC was conducted to address this problem. Also, in order to study the CME, a new approach known as the Sliding Dumbbell Method (SDM) has been developed. This method searches for the back-to-back charge separation on an event-by-event basis. The SDM facilitates the selection of events corresponding to various charge separations ( \(f_{DbCS}\) ) across the dumbbell. A partitioning of the charge separation distributions for each collision centrality into 10 percentile bins is done in order to find potential CME-like events that correspond to the highest charge separation across the dumbbell. Results for \({\text {two-}}\) and \({\text {three-particle}}\) correlators for isobar (Ru+Ru and Zr+Zr) collisions at \(\sqrt{s_{\textrm{NN}}} = 200\) GeV will be presented for each bin of \(f_{DbCS}\) in each collision centrality. The background contribution due to statistical fluctuations is obtained by randomly shuffling the charges of the particles in a particular collision centrality. Correlated backgrounds are calculated for each \(f_{DbCS}\) bin of charged shuffled events using their corresponding original events.