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We calculate the dynamic critical exponent $z$ for 2d and 3d Isinguniversality classes by means of minimally subtracted five-loop $\varepsilon$expansion obtained for the one-component model A. This breakthrough turns outto be possible through the successful adaptation of the Sector Decompositiontechnique to the problems of critical dynamics. The obtained fifth perturbativeorder accompanied by the use of advanced resummation techniques for asymptoticseries allows us to find highly accurate numerical estimates of $z$: for two-and three-dimensional cases we obtain $\boldsymbol{2.14(2)}$ and$\boldsymbol{2.0235(8)}$ respectively. The numbers found are in good agreementwith recent results obtained using different approaches.

The dynamic critical exponent $z$ for 2d and 3d Ising models from five-loop $\epsilon$ expansion