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Pade-Improved Extraction of $\alpha_s(M_\tau)$ from $R_\tau$

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T.G. Steele, V. Elias

High Energy Physics - Phenomenology · Submitted 1 Feb 1999

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Asymptotic Pade-approximant and Pade summation techniques provide an estimate of these unknown higher-order effects, leading to values for $\alpha_s(M_\tau)$ that are about 10% smaller than current estimates.

how it is stated · asserted 0.93 read the record →

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arXiv IDhep-ph/9902217 (version 1)
Pith IDGENRYBFB, Pith's permanent record of this paper and its review
CitationT.G. Steele, V. Elias. "Pade-Improved Extraction of $\alpha_s(M_\tau)$ from $R_\tau$." arXiv:hep-ph/9902217 (1999). https://pith.science/paper/GENRYBFB
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,989 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.34 · human participants 0.01 · controlled comparison 0.15 · randomized assignment 0.01 · states quantitative result 0.93 · compares with prior results 0.94 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

The perturbative series used to extract $\alpha_s(M_\tau)$ from the $\tau$ hadronic width exhibits slow convergence. Asymptotic Pade-approximant and Pade summation techniques provide an estimate of these unknown higher-order effects, leading to values for $\alpha_s(M_\tau)$ that are about 10% smaller than current estimates. Such a reduction improves the agreement of $\alpha_s(M_\tau)$ with the QCD evolution of the strong coupling constant from $\alpha_s(M_z)$.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The perturbative series used to extract $\alpha_s(M_\tau)$ from the $\tau$ hadronic width exhibits slow convergence. background 0.97 0.20 0.03 asserted 1.00
s1 Asymptotic Pade-approximant and Pade summation techniques provide an estimate of these unknown higher-order effects, leading to values for $\alpha_s(M_\tau)$ that are about 10% smaller than current estimates. result 0.80 0.65 0.72 asserted 0.93
s2 Such a reduction improves the agreement of $\alpha_s(M_\tau)$ with the QCD evolution of the strong coupling constant from $\alpha_s(M_z)$. interpretation 0.97 0.56 0.35 asserted 0.99

What kind of paper the classifier reports this is: method or tool 0.60 · evidence from simulation or computation 0.54.

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sources read
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not examined
  • full text
  • figures and tables
  • references and citing sentences
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

The perturbative series used to extract $\alpha_s(M_\tau)$ from the $\tau$ hadronic width exhibits slow convergence. Asymptotic Pade-approximant and Pade summation techniques provide an estimate of these unknown higher-order effects, leading to values for $\alpha_s(M_\tau)$ that are about 10% smaller than current estimates. Such a reduction improves the agreement of $\alpha_s(M_\tau)$ with the QCD evolution of the strong coupling constant from $\alpha_s(M_z)$.

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