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The discrepancy between the FOPT and CIPT approaches for hadronic $\tau$spectral function moments constitutes the major theoretical uncertainty forstrong coupling determinations from tau decay data. We show the discrepancy canbe analytically understood since the Borel representations -- which have beenassumed to be identical for both approaches previously -- differ in thepresence of IR renormalons. This implies that the OPE condensate correctionsare different for both approaches and that the discrepancy may eventually bereconciled. In the talk we explain the difference and some mathematical aspectsof of the FOPT and CIPT Borel representations and show numerical results.

On the Discrepancy between the FOPT and CIPT Approaches for Hadronic Tau Spectral Function Moments