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We compute O(g) NLO corrections to the transverse scattering kernel andtransverse momentum broadening coefficient $\hat{q}$ of weakly-coupled$\mathcal{N}=4$ SYM. Based on this, we also compute NLO correction to thecollinear splitting rates. For $\hat{q}$ we find that the NLO/LO ratio issimilar to the QCD one, with large NLO corrections. This is contrasted by ourfindings for the collinear splitting rate, which show a much better convergencein SYM than in QCD, providing further support to earlier expectations that NLOcorrections have signs and relative magnitudes controlled by the specifics ofthe theory. We also compare the ratio of $\hat{q}$ in QCD and in$\mathcal{N}=4$ theory to strong coupling expectations.

Transverse momentum broadening and collinear radiation at NLO in the $\mathcal{N}=4$ SYM plasma