  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-meson containing
thermo-magnetic propagators for the charged pions in the loop. The in-medium
thermo-magnetic 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
non-trivial 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.
