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We present results for the thermal photon emissivity of the quark-gluonplasma derived from spatially transverse vector correlators computed in latticeQCD at a temperature of 250 MeV. The analysis of the spectral functions,performed at fixed spatial momentum, is based on continuum-extrapolatedcorrelators obtained with two flavours of dynamical Wilson fermions. We comparethe next-to-leading order perturbative QCD correlators, as well as the ${\calN}=4$ supersymmetric Yang-Mills correlators at infinite coupling, to thecorrelators from lattice QCD and find them to lie within $\sim10\%$ of eachother. We then refine the comparison, performing it at the level of filteredspectral functions obtained model-independently via the Backus-Gilbert method.Motivated by these studies, for frequencies $\omega\lesssim2.5\,$GeV we use fitans\"atze to the spectral functions that perform well when applied to mock datagenerated from the NLO QCD or from the strongly-coupled SYM spectral functions,while the high-frequency part, $\omega\gtrsim 2.5\,$GeV, is matched to NLO QCD.We compare our results for the photon emissivity to our previous analysis of adifferent vector channel at the same temperature. We obtain the most stringentconstraint at photon momenta around $k\simeq0.8\,$GeV, for which we find adifferential photon emission rate per unit volume of $d\Gamma_\gamma/d^3k =(\alpha_{\rm em}/(\exp(k/T)-1))\times (2.2 \pm 0.8 ) \times 10^{-3}\,{\rmGeV}$.

Photon emissivity of the quark-gluon plasma: a lattice QCD analysis of the transverse channel