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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SpringerOpen
2022-07-01
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Series: | Journal of High Energy Physics |
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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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id | doaj.art-5c6a4118197a44d095c240b4c4e3e48d |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-04-14T06:50:14Z |
publishDate | 2022-07-01 |
publisher | SpringerOpen |
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series | Journal of High Energy Physics |
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 |
work_keys_str_mv | AT antoniopich violationsofquarkhadrondualityinlowenergydeterminationsofas AT antoniorodriguezsanchez violationsofquarkhadrondualityinlowenergydeterminationsofas |