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- W4313143862 abstract "Recently it has been clarified by Hoang and Regner that the longstanding discrepancy between the CIPT and FOPT expansion approaches in α s determinations from the τ hadronic spectral function moments has been caused by an inconsistency of CIPT with the standard OPE approach. This inconsistency arises in the presence of IR renormalons in the underlying Adler function and is numerically dominated by the dimension-4 gluon condensate renormalon. In this talk we report on an approach to reconcile the CIPT based on a perturbative definition of a renormalon-free and scale-invariant gluon condensate scheme, called RF GC scheme. The scheme implies perturbative subtractions which eliminate the CIPT inconsistency for all practical applications of the τ hadronic spectral function moments. The scheme depends on the gluon condensate renormalon norm N g as an independent input and on an IR subtraction scale R . We discuss three different approaches to determine N g which yield consistent results and we apply the RF GC scheme in two full-fledged phenomenological α s determinations based on the truncated OPE and the duality violation model approach. In the RF GC scheme the long-standing CIPT-FOPT discrepancy problem is gone and the CIPT and FOPT α s determinations can be consistently combined." @default.
- W4313143862 created "2023-01-06" @default.
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- W4313143862 date "2022-01-01" @default.
- W4313143862 modified "2023-09-27" @default.
- W4313143862 title "Reconciling the FOPT and CIPT Predictions for <i>τ</i> Hadronic Spectral Function Moments" @default.
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- W4313143862 doi "https://doi.org/10.1051/epjconf/202227406005" @default.
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