High-order anisotropic flow and nonlinear hydrodynamic responses

In this work, we study the charged hadron anisotropic flow coefficients $v_n$ (up to $n=12$) using high-statistics event-by-event simulations of Pb+Pb collisions at $\sqrt{s_{\mathrm{N}\mathrm{N}}}=5.02$ and $5.36$~TeV, employing the IP-Glasma + MUSIC + UrQMD hybrid approach. The power spectra of anisotropic flow coefficients ($v_n\{2\}$ vs. $n$) are compared with the ALICE measurements from central to 50% centrality. To understand the various sources contributing to the high-order $v_n$ coefficients, we analyze the nonlinear mode coefficients for high-order anisotropic flow coefficients using different approximations and make comparisons with available measurements.