Non-perturbative finite $T$ broadening of the $\rho$ meson and dilepton emission in heavy ion-collisions

Abstract

We study self-consistently the finite $T$ broadening of the $\rho$-meson and its implications for dilepton emission in heavy ion-collisions. For this purpose finite width effects at finite temperature due to the $\rho$-$\pi$ interaction are investigated in a self-consistent $\Phi$-functional approach. The temperature dependence of the $\rho$-meson and pion spectral functions and self-energies is discussed. The spectral functions show considerable broadening in comparison with a perturbative calculation on the one-loop level. Using these spectral functions, we make a comparison to dilepton emission data from the CERES NA49 collaboration employing a parametrized fireball evolution model of collision. We demonstrate that these non-perturbative finite width effects are in-medium modifications relevant to the understanding of the enhancement of the low invariant mass spectrum of dileptons emitted in A-A collisions.

Revised version as accepted for publication in Phys. Rev. C

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• Reply to 'Comment on: 'Non-perturbative finite T broadening of the rho meson and dilepton emission in heavy ion-collisions''
• What does the rho-meson do? In-medium mass shift scenarios versus hadronic model calculations
• Comment on: Non-perturbative finite T broadening of the rho meson and dilepton emission in heavy ion-collisions (by J. Ruppert and T. Renk Phys. Rev. C71 (2005) 064903; nucl-th/0412047
• Selfconsistent descriptions of vector-mesons in hot matter revisited