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Title: Determining $$\alpha_s$$ from hadronic $$\tau$$ decay: the pitfalls of truncating the OPE

Abstract

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.

Authors:
 [1]; ORCiD logo [2];  [3]; ORCiD logo [4]
  1. University of Sao Paulo
  2. San Francisco State University
  3. University of Adelaide, York University
  4. 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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.21468/SciPostPhysProc.1.053

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