Standardized Cumulants of Flow Harmonic Fluctuations

Understand

The distribution of flow harmonics in heavy ion experiment can be characterized by standardized cumulants.

• We first model the ellipticity and power parameters of the elliptic-power distribution by employing MC-Glauber model.
• Then we use the elliptic-power distribution together with the hydrodynamic linear response approximation to study the two dimensional standardized cumulants of elliptic and triangular flow ($v_2$ and $v_3$) distribution.
• For the second harmonic, it turns out that finding two dimensional cumulants in terms of $2q$-particle correlation functions $c_2\{2q\}$ is limited to the skewness.