On the discrepancy between the FOPT and CIPT approaches for hadronic tau spectral function moments
Andre H. Hoang, Christoph Regner
SciPost Phys. Proc. 7, 005 (2022) · published 20 June 2022
- doi: 10.21468/SciPostPhysProc.7.005
The discrepancy between the FOPT and CIPT approaches for hadronic tau spectral function moments constitutes the major theoretical uncertainty for strong coupling determinations from tau decay data. We show that the discrepancy can be analytically understood since the Borel representations -- which have been assumed to be identical for both approaches previously -- differ in the presence of IR renormalons. This implies that the OPE condensate corrections are different for both approaches and that the discrepancy may eventually be reconciled. In the talk we explain the difference and some mathematical aspects of the FOPT and CIPT Borel representations and show numerical results.
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- 1 2 André Hoang,
- 2 Christoph Regner
- 1 Erwin Schrödinger International Institute for Mathematics and Physics [ESI]
- 2 Universität Wien / University of Vienna
- Austrian Science Fund (FWF) (through Organization: Fonds zur Förderung der wissenschaftlichen Forschung / FWF Austrian Science Fund [FWF])