Speaker
Description
In High-Energy Heavy-Ion Collisions, the anisotropic flow is expected to be directly related to the shear viscosity coefficient. However, it has been known [1] that there is a sizeable modeling uncertainty in the non-equilibrium correction for the Cooper-Frye prescription in multi-stage modeling of heavy-ion collisions, which strongly impacts particle-number-based final-state observables. These discrepancies lead to significant uncertainties in determining the transport properties.
In our work, we aim to establish a direct connection between $v_2$ and the shear viscosity coefficient. Our approach is to replace the particle number weight with the transverse energy/moment weight ($E_T^\alpha$ or $p_T^\alpha$, $\alpha>0$) in the cumulant method to calculate the anisotropic flows. Since energy-momentum is locally conserved during hadronization and freeze-out, and transverse energy/momentum flow is less sensitive to the details of hadronization, using energy/moment correlation should reduce the model dependence in intermediate processes. This approach has the possibility to make us recover the early fluid properties better and establish a more direct connection to the anisotropic expansion of the QGP. Additionally, we test the sensitivity of the energy-momentum flow against different non-equilibrium corrections at freeze-out and will discuss the result's dependence on the $\alpha$ weight power. We hope this study can help build better observables to extract the QGP transport coefficient.