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A systematic study of low mass dilepton production from $\pi-\rho$interactions in a hot medium is presented. Applying finite temperatureperturbation theory the dilepton rate, respectively the virtual photon rate, iscomputed up to order $g_\rho^2$. For dilepton masses below the $\rho$ thetwo-body reactions $\pi\pi\to \rho \gamma^*$, $\pi\rho\to \pi \gamma^*$, andthe decay process $\rho \to \pi \pi \gamma^*$ give significant contributions.Non-equilibrium contributions to the thermal rate are estimated, including themodification of the particle distribution function with non-zero pion chemicalpotential. The comparison of the dilepton rate with the recent data measured innucleus-nucleus collisions at SPS energy by the CERES Collaboration is alsoperformed. It is shown that the additional thermal dileptons from $\pi-\rho$interactions can partially account for the access of the soft dilepton yieldseen experimentally.Comment: 21 pages LaTeX, 8 figs with epsfig.sty macro include

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Thermal dileptons from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ρ</mml:mi></mml:math>interactions in a hot pion gas

Thermal dileptons fromπ-ρinteractions in a hot pion gas