C-parameter hadronisation in the symmetric 3-jet limit and impact on $$\alpha _s$$ α s fits

Abstract Hadronisation corrections are crucial in extractions of the strong coupling constant ( $$\alpha _s$$ α s ) from event-shape distributions at lepton colliders. Although their dynamics cannot be understood rigorously using perturbative methods, their dominant effect on physical observables ca...

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Main Authors: Gionata Luisoni, Pier Francesco Monni, Gavin P. Salam
Format: Article
Language:English
Published: SpringerOpen 2021-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-021-08941-z
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author Gionata Luisoni
Pier Francesco Monni
Gavin P. Salam
author_facet Gionata Luisoni
Pier Francesco Monni
Gavin P. Salam
author_sort Gionata Luisoni
collection DOAJ
description Abstract Hadronisation corrections are crucial in extractions of the strong coupling constant ( $$\alpha _s$$ α s ) from event-shape distributions at lepton colliders. Although their dynamics cannot be understood rigorously using perturbative methods, their dominant effect on physical observables can be estimated in singular configurations sensitive to the emission of soft radiation. The differential distributions of some event-shape variables, notably the C parameter, feature two such singular points. We analytically compute the leading non-perturbative correction in the symmetric three-jet limit for the C parameter, and find that it differs by more than a factor of two from the known result in the two-jet limit. We estimate the impact of this result on strong coupling extractions, considering a range of functions to interpolate the hadronisation correction in the region between the 2 and 3-jet limits. Fitting data from ALEPH and JADE, we find that most interpolation choices increase the extracted $$\alpha _{s}$$ α s , with effects of up to $$4\%$$ 4 % relative to standard fits. This brings a new perspective on the long-standing discrepancy between certain event-shape $$\alpha _s$$ α s fits and the world average.
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spelling doaj.art-dd0b520ad3404c70ad549b1ade9766fd2022-12-21T23:47:23ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-02-0181211110.1140/epjc/s10052-021-08941-zC-parameter hadronisation in the symmetric 3-jet limit and impact on $$\alpha _s$$ α s fitsGionata Luisoni0Pier Francesco Monni1Gavin P. Salam2CERN, Theoretical Physics DepartmentCERN, Theoretical Physics DepartmentRudolf Peierls Centre for Theoretical Physics, Clarendon Laboratory, University of OxfordAbstract Hadronisation corrections are crucial in extractions of the strong coupling constant ( $$\alpha _s$$ α s ) from event-shape distributions at lepton colliders. Although their dynamics cannot be understood rigorously using perturbative methods, their dominant effect on physical observables can be estimated in singular configurations sensitive to the emission of soft radiation. The differential distributions of some event-shape variables, notably the C parameter, feature two such singular points. We analytically compute the leading non-perturbative correction in the symmetric three-jet limit for the C parameter, and find that it differs by more than a factor of two from the known result in the two-jet limit. We estimate the impact of this result on strong coupling extractions, considering a range of functions to interpolate the hadronisation correction in the region between the 2 and 3-jet limits. Fitting data from ALEPH and JADE, we find that most interpolation choices increase the extracted $$\alpha _{s}$$ α s , with effects of up to $$4\%$$ 4 % relative to standard fits. This brings a new perspective on the long-standing discrepancy between certain event-shape $$\alpha _s$$ α s fits and the world average.https://doi.org/10.1140/epjc/s10052-021-08941-z
spellingShingle Gionata Luisoni
Pier Francesco Monni
Gavin P. Salam
C-parameter hadronisation in the symmetric 3-jet limit and impact on $$\alpha _s$$ α s fits
European Physical Journal C: Particles and Fields
title C-parameter hadronisation in the symmetric 3-jet limit and impact on $$\alpha _s$$ α s fits
title_full C-parameter hadronisation in the symmetric 3-jet limit and impact on $$\alpha _s$$ α s fits
title_fullStr C-parameter hadronisation in the symmetric 3-jet limit and impact on $$\alpha _s$$ α s fits
title_full_unstemmed C-parameter hadronisation in the symmetric 3-jet limit and impact on $$\alpha _s$$ α s fits
title_short C-parameter hadronisation in the symmetric 3-jet limit and impact on $$\alpha _s$$ α s fits
title_sort c parameter hadronisation in the symmetric 3 jet limit and impact on alpha s α s fits
url https://doi.org/10.1140/epjc/s10052-021-08941-z
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AT pierfrancescomonni cparameterhadronisationinthesymmetric3jetlimitandimpactonalphasasfits
AT gavinpsalam cparameterhadronisationinthesymmetric3jetlimitandimpactonalphasasfits