Determining $$\alpha_s$$ from hadronic $$\tau$$ decay: the pitfalls of truncating the OPE
Abstract
We discuss sumrule determinations of \alpha_s ${\alpha}_{s}$ from nonstrange hadronic \tau $\tau $ decay data. We investigate, in particular, the reliability of the assumptions underlying the “truncated OPE strategy,” which specifies a certain treatment of nonperturbative 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 $\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 dualityviolating nonperturbative 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 ${\alpha}_{s}$ , including a representation of duality violations is unavoidable if one wishes to avoid uncontrolled theoretical errors.
 Authors:

 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. https://doi.org/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. https://doi.org/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 sumrule determinations of \alpha_s α s from nonstrange 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 nonperturbative 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 dualityviolating nonperturbative 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}
}
https://doi.org/10.21468/SciPostPhysProc.1.053
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