Production of soft photons from the quark-gluon plasma in hot QCD- Screening of mass singularities

It has been reported that, within the hard-thermal-loop resummation scheme, the production rate of soft real photons from a hot quark-gluon plasma exhibits unscreened mass singularities. We show that still higher-order resummations screen the mass singularities and obtain the finite soft-photon production rate to leading order at logarithmic accuracy ${\cal O} (\alpha \alpha_s \ln^2 \alpha_s)$.