Generalisation of the Cumulants of Flow Amplitudes to the higher orders

Studies of the hydrodynamic response of the quark-gluon plasma created in ultra-relativistic heavy-ion collisions to the initial state anisotropies, a phenomenon known as anisotropic flow, allowed the determination of some of the properties of the produced medium. This work generalises the formalism used to probe the genuine correlations between flow amplitudes, ones of the flow degrees of freedom, to more than two amplitudes and to different moments between them. These observables bring new constraints on the models describing the initial conditions and medium properties of the system.