Primordial non-Gaussianity in heavy-ion collisions

Rajeev S. Bhalerao , Giuliano Giacalone (1) , Jean-Yves Ollitrault (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681

We show that experimental data on cumulants of anisotropic flow in heavy-ion collisions probe the non-Gaussian statistics of the energy-density field created right after the collision. We carry out a perturbative expansion of the initial anisotropies of the system in terms of its density fluctuations. We argue that the correlation between the magnitudes of elliptic flow and triangular flow, dubbed sc(3,2), is generically of the same sign and order of magnitude as the kurtosis of triangular flow in a hydrodynamic picture. The experimental observation that these quantities are negative implies that the distribution of energy around a given point has positive skew.

Mots clés: Relativistic Nuclear Collisions; non-Gaussianity: primordial; heavy ion: scattering; energy: density; density: fluctuation; flow: anisotropy; triangular flow; elliptic flow; hydrodynamics; correlation; statistics

Domaines: Physique Nucléaire Théorique [nucl-th]; Physique des Hautes Energies - Phénoménologie [hep-ph]; Physique Nucléaire Expérimentale [nucl-ex]

Rajeev S. Bhalerao, Giuliano Giacalone, Jean-Yves Ollitrault. Primordial non-Gaussianity in heavy-ion collisions. Phys.Rev.C, 2019, 100 (1), pp.014909. ⟨10.1103/PhysRevC.100.014909⟩. ⟨hal-02116818⟩