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

Andre H. Hoang; Christoph Regner

doi:10.48550/arXiv.2111.00252

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

Andre H. Hoang (Corresponding author), Christoph Regner

Publications: Contribution to journal › Meeting abstract/Conference paper › Peer Reviewed

Abstract

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 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 of the FOPT and CIPT Borel representations and show numerical results.

Original language	English
Article number	005
Number of pages	14
Journal	SciPost Physics
Volume	7
Early online date	30 Oct 2021
DOIs	https://doi.org/10.48550/arXiv.2111.00252 https://doi.org/10.21468/SciPostPhysProc.7.005
Publication status	Published - 20 Jun 2022
Event	15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology - Florida State University, Tallahassee, United States Duration: 17 May 2021 → 21 May 2021

Austrian Fields of Science 2012

103012 High energy physics
103034 Particle physics

Keywords

hep-ph

Access to Document

10.48550/arXiv.2111.00252Licence: CC BY 4.0
10.21468/SciPostPhysProc.7.005Licence: CC BY 4.0

Cite this

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abstract = " 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 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 of the FOPT and CIPT Borel representations and show numerical results. ",

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AU - Regner, Christoph

N1 - 13 pages, 2 figures, proceedings contribution to the 15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology (RADCOR 2021)

PY - 2022/6/20

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N2 - 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 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 of the FOPT and CIPT Borel representations and show numerical results.

AB - 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 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 of the FOPT and CIPT Borel representations and show numerical results.

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