Study of flow factorization with two particle azimuthal correlation

Elliptic flow ($v_2$) provides information about initial expansion of the medium created in non-central heavy ion collisions. However non-flow effects, such as jet correlation, can contribute significantly to the measured $v_2$. In this talk we investigate the possibility of separating flow and non-flow components of $v_2$ ($v_n$ in general) measured via two particle azimuthal correlations. If the observed azimuthal anisotropy is due to global flow, then coefficients $v_{n,n}(p_{\rm{T}}^a, p_ {\rm{T}}^b)$ in Fourier decomposition of two particle correlation function $dN/d\Delta \phi$ factorize into product of single particle flow coefficients: $v_{n,n}(p_{\rm{T}}^a, p_{\rm {T}}^b)) = v_n(p_{\rm{T}}^a)v_n(p_{\rm{T}}^b)$. Deviation from $v_{n,n}$ factorization indicates a significant non-flow contribution. We investigate the flow and non-flow contributions to two particle azimuthal correlations with model of heavy ions dynamics which includes particles from hydro medium (with a given anisotropic flow) and jet correlations simulated with Pythia. We discuss the feasibility of separation of flow and nonflow in the real data based on the hypothesis of $v_{n,n}$ factorization for a global flow.