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The vector channel spectral function at zero spatial momentum is calculatedat next-to-leading order in thermal QCD for any quark mass. It corresponds tothe imaginary part of the massive quark contribution to the photon polarizationtensor. The spectrum shows a well defined transport peak in contrast to boththe heavy quark limit studied previously, where the low frequency domain isexponentially suppressed at this order and the naive massless case where itvanishes at leading order and diverges at next-to-leading order. From ourgeneral expressions, the massless limit can be taken and we show that nodivergences occur if done carefully. Finally, we compare the massless limit toresults from lattice simulations.

Quarkonium spectral function in medium at next-to-leading order for any quark mass