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Well--defined criteria are proposed for assessing the accuracy of quantummaster equations whose memory functions are approximated by Pad\'e resummationof the first two moments in the electronic coupling. These criteria partitionthe parameter space into distinct levels of expected accuracy, ranging fromquantitatively accurate regimes to regions of parameter space where theapproach is not expected to be applicable. Extensive comparison ofPad\'e--resummed master equations with numerically exact results in the contextof the spin--boson model demonstrate that the proposed criteria correctlydemarcate the regions of parameter space where the Pad\'e approximation isreliable. The applicability analysis we present is not confined to thespecifics of the Hamiltonian under consideration and should provide guidelinesfor other classes of resummation techniques.

On the accuracy of the Pade-resummed master equation approach to dissipative quantum dynamics