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Renormalization-group improvement in hadronic $τ$ decays in 2018

by D. Boito, P. Masjuan, F. Oliani

Submission summary

As Contributors: Diogo Boito
Preprint link: scipost_201811_00036v2
Date accepted: 2019-01-17
Date submitted: 2018-12-12
Submitted by: Boito, Diogo
Submitted to: SciPost Physics Proceedings
Proceedings issue: The 15th International Workshop on Tau Lepton Physics (Amsterdam, 2018-09)
Domain(s): Theoretical
Subject area: High-Energy Physics - Phenomenology

Abstract

One of the main sources of theoretical uncertainty in the extraction of the strong coupling from hadronic tau decays stems from the renormalization group improvement of the series. Perturbative series in QCD are divergent but are (most likely) asymptotic expansions. One needs knowledge about higher orders to be able to choose the optimal renormalization-scale setting procedure. Here, we discuss the use of Pad\'e approximants as a model-independent and robust method to extract information about the higher-order terms. We show that in hadronic \boldmath $\tau$ decays the fixed-order expansion, known as fixed-order perturbation theory (FOPT), is the most reliable mainstream method to set the scale. This fully corroborates previous conclusions based on the available knowledge about the leading renormalon singularities of the perturbative series.

Current status:

List of changes

Comments added in Sec. 5 to clarify the use of Eq. (15) in our analysis.

Submission & Refereeing History

Resubmission scipost_201811_00036v2 on 12 December 2018
Submission scipost_201811_00036v1 on 22 November 2018

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