Azimuthal anisotropy in a jet absorption model with fluctuating initial geometry in heavy ion collisions

Abstract

The azimuthal anisotropy due to path-length-dependent jet energy loss is studied in a simple jet absorption model that includes event-by-event fluctuating Glauber geometry. Significant anisotropy coefficients ${v}_{n}$ are observed for $n=1$, 2, and 3, but they are very small for $n>3$. These coefficients are expected to result in a ridge for correlations between two independently produced jets. The correlations between the orientation of the $n\mathrm{th}$-order anisotropy induced by jet absorption (${\ensuremath{\Phi}}_{n}^{\mathrm{QP}}$) and the $n\mathrm{th}$-order participant plane (${\ensuremath{\Phi}}_{n}^{\mathrm{PP}}$) responsible for harmonic flow are studied. Tight correlations are observed for $n=2$ in mid-central collisions, but they weaken significantly for $n\ensuremath{\ne}2$. The correlations are positive for $n\ensuremath{\leqslant}3$, but become negative in central collisions for $n>3$. The dispersion between ${\ensuremath{\Phi}}_{n}^{\mathrm{QP}}$ and ${\ensuremath{\Phi}}_{n}^{\mathrm{PP}}$ is expected to break the factorization of the Fourier coefficients from two-particle correlation ${v}_{n,n}$ into the single particle ${v}_{n}$, and has important implications for the high-${p}_{\mathrm{T}}$ ridge phenomena.