  The transport properties of the strongly-coupled quark-gluon plasma created
in ultra-relativistic heavy-ion collisions are extracted by Bayesian parameter
estimate methods with the latest collision beam energy data from LHC. This
Bayesian analysis includes sophisticated flow harmonic observables for the
first time. We found that the temperature dependence of specific shear
viscosity shows weaker than the previous studies. The results prefer a lower
value of specific bulk viscosity and a higher switching temperature to
reproduce additional observables. However, the improved statistical
uncertainties both on the experimental data and hydrodynamic calculations with
additional observables do not help to reduce the final credibility ranges much,
indicating a need for improving the dynamical collision model before the
hydrodynamic takes place. In addition, the sensitivities of experimental
observables to the parameters in hydrodynamic model calculations are
quantified. It is found that the analysis benefits most from the symmetric
cumulants and non-linear flow modes, which mostly reflect non-linear
hydrodynamic responses, in constraining the temperature dependence of the
specific shear and bulk viscosity in addition to the previously used flow
coefficients.
