Quarkonium production is one of the golden probes to study the quark--gluon plasma (QGP). Among many observables, the measurement of azimuthal anisotropies in quarkonium production sheds light on the collective behavior of heavy-flavor particles in a strongly interacting medium. In particular, the measurements of the elliptic flow ($v_{ 2}$) of quarkonia in Pb--Pb collisions at the LHC provide us direct evidence of heavy quark thermalization in the QGP. In these proceedings, new results of inclusive $\mathrm{ J/\psi}$ elliptic flow measurement in Pb--Pb collisions carried out by the ALICE collaboration in Run 3 using three methods including event-plane, scalar-product and multi-particle correlation (cumulant) will be presented. The method of cumulant will give access to the $\mathrm{ J/\psi}$ flow fluctuations at forward rapidity. Alongside the new flow measurements of $\mathrm{ J/\psi}$, new results of $\mathrm{ \Upsilon}(1S)$ flow measurement at forward rapidity in ALICE Run 3 will be presented as well with comparison to model calculations.
Categories: nucl-ex hep-ex hep-ph