Parametric integration with hyperlogarithms is a promising method for multiloop calculations, which was successfully applied in problems of high energy physics and critical statics. In this talk, we review the method and discuss its advantages and limitations. We also investigate its applicability to critical dynamics in the context of the stochastic model of fully developed turbulence of infinite dimension. We adapt the hyperlogarithm method by choosing a proper renormalization scheme and introducing an effective dimension of the space. This allows us to obtain four-loop analytical expression for the critical exponent \(\omega\) within the framework of renormalization group and \(\varepsilon\)-expansion. Our results open possibilities for further multiloop calculations with the parametric hyperlogarithm approach.