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Correlations between moments of different flow coefficients are measured inPb-Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV recorded with the ALICEdetector. These new measurements are based on multiparticle mixed harmoniccumulants calculated using charged particles in the pseudorapidity region$|\eta|<0.8$ with the transverse momentum range $0.2 < p_{\rm T} < 5.0$GeV/$c$. The centrality dependence of correlations between two flowcoefficients as well as the correlations between three flow coefficients, bothin terms of their second moments, are shown. In addition, a collection of mixedharmonic cumulants involving higher moments of $v_2$ and $v_3$ is measured forthe first time, where the characteristic signature of negative, positive andnegative signs of four-, six- and eight-particle cumulants are observed,respectively. The measurements are compared to the hydrodynamic calculationsusing iEBE-VISHNU with AMPT and TRENTo initial conditions. It is shown that themeasurements carried out using the LHC Run 2 data in 2015 have the precision toexplore the details of initial-state fluctuations and probe the nonlinearhydrodynamic response of $v_2$ and $v_3$ to their corresponding initialanisotropy coefficients $\varepsilon_2$ and $\varepsilon_3$. These new studieson correlations between three flow coefficients as well as correlations betweenhigher moments of two different flow coefficients will pave the way to tightenconstraints on initial-state models and help to extract precise information onthe dynamic evolution of the hot and dense matter created in heavy-ioncollisions at the LHC.

Measurements of mixed harmonic cumulants in Pb-Pb collisions at $\mathbf{\sqrt{{\textit s}_{\rm NN}}}=5.02$ TeV