Determining $$\alpha_s$$ from hadronic $$\tau$$ decay: the pitfalls of truncating the OPE
Abstract
We discuss sum-rule determinations of \alpha_s from non-strange hadronic \tau -decay data. We investigate, in particular, the reliability of the assumptions underlying the “truncated OPE strategy,” which specifies a certain treatment of non-perturbative contributions, and which was employed in Refs. . Here, we test this strategy by applying the strategy to the R -ratio obtained from e^+e^- data, which extend beyond the \tau mass, and demonstrate that the assumptions underlying this strategy are not, in general, valid. We then present a brief overview of new results on the form of duality-violating non-perturbative contributions, which are conspicuously present in the experimentally determined spectral functions. As we show, with the current precision claimed for the extraction of \alpha_s , including a representation of duality violations is unavoidable if one wishes to avoid uncontrolled theoretical errors.
- Authors:
-
[2];
[4]
- University of Sao Paulo
- San Francisco State University
- University of Adelaide, York University
- Autonomous University of Barcelona
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1495814
- Grant/Contract Number:
- SC0013682
- Resource Type:
- Published Article
- Journal Name:
- SciPost Physics Proceedings
- Additional Journal Information:
- Journal Name: SciPost Physics Proceedings Journal Issue: 1
- Publisher:
- Stichting SciPost
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
Citation Formats
Boito, Diogo, Golterman, Maarten, Maltman, Kim, and Peris, Santiago. Determining $\alpha_s$ from hadronic $\tau$ decay: the pitfalls of truncating the OPE. Country unknown/Code not available: N. p., 2019.
Web. doi:10.21468/SciPostPhysProc.1.053.
Boito, Diogo, Golterman, Maarten, Maltman, Kim, & Peris, Santiago. Determining $\alpha_s$ from hadronic $\tau$ decay: the pitfalls of truncating the OPE. Country unknown/Code not available. doi:10.21468/SciPostPhysProc.1.053.
Boito, Diogo, Golterman, Maarten, Maltman, Kim, and Peris, Santiago. Fri .
"Determining $\alpha_s$ from hadronic $\tau$ decay: the pitfalls of truncating the OPE". Country unknown/Code not available. doi:10.21468/SciPostPhysProc.1.053.
@article{osti_1495814,
title = {Determining $\alpha_s$ from hadronic $\tau$ decay: the pitfalls of truncating the OPE},
author = {Boito, Diogo and Golterman, Maarten and Maltman, Kim and Peris, Santiago},
abstractNote = {We discuss sum-rule determinations of \alpha_s α s from non-strange hadronic \tau τ -decay data. We investigate, in particular, the reliability of the assumptions underlying the “truncated OPE strategy,” which specifies a certain treatment of non-perturbative contributions, and which was employed in Refs. . Here, we test this strategy by applying the strategy to the R R -ratio obtained from e^+e^- e + e − data, which extend beyond the \tau τ mass, and demonstrate that the assumptions underlying this strategy are not, in general, valid. We then present a brief overview of new results on the form of duality-violating non-perturbative contributions, which are conspicuously present in the experimentally determined spectral functions. As we show, with the current precision claimed for the extraction of \alpha_s α s , including a representation of duality violations is unavoidable if one wishes to avoid uncontrolled theoretical errors.},
doi = {10.21468/SciPostPhysProc.1.053},
journal = {SciPost Physics Proceedings},
number = 1,
volume = ,
place = {Country unknown/Code not available},
year = {2019},
month = {2}
}
DOI: 10.21468/SciPostPhysProc.1.053
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