Search for the chiral magnetic effect with the ALICE experiment

Relativistic heavy-ion collisions create a hot and dense medium of quarks and gluons named Quark-Gluon Plasma (QGP). The nonzero axial chemical potential in this QGP, induced by the chiral anomaly with an imbalance of left-and right-handed quarks, can produce an electric current along the magnetic field B??? created by the spectator protons. In this presentation, recent results of three - particle correlations relative to the 2^nd, 3^rd and 4^th order EP for charged particles in Pb-Pb collisions at √s_NN = 5.02 TeV have been given. Following a novel data driven back-ground approach, an upper limit of the CME fraction to be 15% (23%) at 95% (99.7%) confidence level in the centrality interval 0-40% of Pb-Pb collisions at LHC has been estimated