Speaker
Description
The discrepancy between the FOPT and CIPT approaches for the hadronic tau decay rate is a debated subject and constitutes the major theoretical uncertainty for strong coupling determinations. We show that the discrepancy can be analytically understood since the Borel representations for FOPT and CIPT do not agree. This implies that the OPE corrections are different for both approaches and that the discrepancy may be reconciled. Spectral function moments where the discrepancy does not arise can be constructed. We show why the FOPT and CIPT Borel representations differ and demonstrate that that differing asymptotic behavior of the FOPT and CIPT perturbation series can now be described (and controlled) analytically.