Dilepton production from hot and magnetized hadronic matter

The rate of dilepton emission from a magnetized hot hadronic medium is calculated in the framework of real time formalism of finite temperature field theory. We evaluate the one-loop self-energy of neutral rho mesons containing thermomagnetic propagators for the charged pions in the loop. The in-medium thermomagnetic spectral function of rho obtained by solving the Dyson-Schwinger equation is shown to be proportional to the dilepton production rate. The study of the analytic structure of the neutral rho-meson spectral function in such a medium shows that in addition to the usual contribution coming from the Unitary cut beyond the two-pion threshold there is a nontrivial yield in the low invariant-mass region originating due to the fact that the charged pions occupy different Landau levels before and after scattering with the neutral rho meson and is purely a finite magnetic-field effect.

Automated summary

In this study, the rate of dilepton emission from a magnetized hot hadronic medium is calculated based on the real-time formalism of finite temperature field theory. The one-loop self-energy of neutral rho mesons is evaluated, taking into account the thermomagnetic propagators of charged pions in the loop. The in-medium thermomagnetic spectral function of rho is found to be proportional to the dilepton production rate, and the study also reveals the existence of a nontrivial yield in the low invariant-mass region due to the Landau level occupation effect of charged pions in scattering with neutral rho mesons.