Borel resummation of the $\varepsilon$-expansion of the dynamical exponent $z$ in model A of the $\phi^4(O(n))$ theory

We perform the Borel resummation of the currently known terms of the $\varepsilon$-expansion up to order $\varepsilon^4$ of the dynamical exponent $z$ in the critical-behavior model A. We obtain the large-order asymptotic approximation of the $\varepsilon$-expansion of the dynamical exponent and find a significant discrepancy between the currently calculated orders of the expansion and the obtained asymptotic values. We discuss the influence of this deviation on the accuracy of the resummation results.