Violations of quark-hadron duality in low-energy determinations of α s

Abstract Using the spectral functions measured in τ decays, we investigate the actual numerical impact of duality violations on the extraction of the strong coupling. These effects are tiny in the standard α s ( m τ 2 $$ {m}_{\tau}^2 $$ ) determinations from integrated distributions of the hadronic...

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Main Authors: Antonio Pich, Antonio Rodríguez-Sánchez
Format: Article
Language:English
Published: SpringerOpen 2022-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2022)145
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author Antonio Pich
Antonio Rodríguez-Sánchez
author_facet Antonio Pich
Antonio Rodríguez-Sánchez
author_sort Antonio Pich
collection DOAJ
description Abstract Using the spectral functions measured in τ decays, we investigate the actual numerical impact of duality violations on the extraction of the strong coupling. These effects are tiny in the standard α s ( m τ 2 $$ {m}_{\tau}^2 $$ ) determinations from integrated distributions of the hadronic spectrum with pinched weights, or from the total τ hadronic width. The pinched-weight factors suppress very efficiently the violations of duality, making their numerical effects negligible in comparison with the larger perturbative uncertainties. However, combined fits of α s and duality-violation parameters, performed with non-protected weights, are subject to large systematic errors associated with the assumed modelling of duality-violation effects. These uncertainties have not been taken into account in the published analyses, based on specific models of quark-hadron duality.
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spelling doaj.art-5c6a4118197a44d095c240b4c4e3e48d2022-12-22T02:07:02ZengSpringerOpenJournal of High Energy Physics1029-84792022-07-012022714210.1007/JHEP07(2022)145Violations of quark-hadron duality in low-energy determinations of α sAntonio Pich0Antonio Rodríguez-Sánchez1Departament de Física Teòrica, IFIC, Universitat de València — CSICUniversité Paris-Saclay, CNRS/IN2P3, IJCLabAbstract Using the spectral functions measured in τ decays, we investigate the actual numerical impact of duality violations on the extraction of the strong coupling. These effects are tiny in the standard α s ( m τ 2 $$ {m}_{\tau}^2 $$ ) determinations from integrated distributions of the hadronic spectrum with pinched weights, or from the total τ hadronic width. The pinched-weight factors suppress very efficiently the violations of duality, making their numerical effects negligible in comparison with the larger perturbative uncertainties. However, combined fits of α s and duality-violation parameters, performed with non-protected weights, are subject to large systematic errors associated with the assumed modelling of duality-violation effects. These uncertainties have not been taken into account in the published analyses, based on specific models of quark-hadron duality.https://doi.org/10.1007/JHEP07(2022)145The Strong CouplingSemi-Leptonic DecaysSpecific QCD PhenomenologyChiral Lagrangian
spellingShingle Antonio Pich
Antonio Rodríguez-Sánchez
Violations of quark-hadron duality in low-energy determinations of α s
Journal of High Energy Physics
The Strong Coupling
Semi-Leptonic Decays
Specific QCD Phenomenology
Chiral Lagrangian
title Violations of quark-hadron duality in low-energy determinations of α s
title_full Violations of quark-hadron duality in low-energy determinations of α s
title_fullStr Violations of quark-hadron duality in low-energy determinations of α s
title_full_unstemmed Violations of quark-hadron duality in low-energy determinations of α s
title_short Violations of quark-hadron duality in low-energy determinations of α s
title_sort violations of quark hadron duality in low energy determinations of α s
topic The Strong Coupling
Semi-Leptonic Decays
Specific QCD Phenomenology
Chiral Lagrangian
url https://doi.org/10.1007/JHEP07(2022)145
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