On Determining $α_s(m_Z)$ from Dijets in $e^+e^-$ Thrust
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| Format: | Preprint |
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2024
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| _version_ | 1866909435365949440 |
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| author | Benitez, Miguel A. Hoang, Andre H. Mateu, Vicent Stewart, Iain W. Vita, Gherardo |
| author_facet | Benitez, Miguel A. Hoang, Andre H. Mateu, Vicent Stewart, Iain W. Vita, Gherardo |
| contents | We update a previous N$^3$LL$^\prime$+${\cal O}(α_s^3)$ determination of the strong coupling from a global fit to thrust data by including newly available perturbative ingredients, upgrading the renormalization scales to include a fully canonical scaling region, and implementing the log resummation in a way which ensures the integrated cross section is unaffected by the the leading $1/Q$ hadronization power corrections. Detailed discussions are provided concerning the stability of the results under variations of the fit range and the importance of summing up higher-order logarithmic terms for convergence and stability. We show that high-precision results can be achieved even when carrying out a more conservative fit by restricting the dataset to a region which is more clearly dominated by dijet events. This leads to $α_s(m_Z) = 0.1136 \pm 0.0012$ with $χ^2/{\rm dof}=0.86$, fully compatible with earlier results using a larger fit range. We also demonstrate that a number of additional effects associated to power corrections have a small impact on this fit result, including modifications to the renormalon substraction scheme for dijet power corrections and the inclusion of three-jet power correction models. The fit is also shown to provide very good agreement with data outside the fit range. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_15164 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Determining $α_s(m_Z)$ from Dijets in $e^+e^-$ Thrust Benitez, Miguel A. Hoang, Andre H. Mateu, Vicent Stewart, Iain W. Vita, Gherardo High Energy Physics - Phenomenology Nuclear Theory We update a previous N$^3$LL$^\prime$+${\cal O}(α_s^3)$ determination of the strong coupling from a global fit to thrust data by including newly available perturbative ingredients, upgrading the renormalization scales to include a fully canonical scaling region, and implementing the log resummation in a way which ensures the integrated cross section is unaffected by the the leading $1/Q$ hadronization power corrections. Detailed discussions are provided concerning the stability of the results under variations of the fit range and the importance of summing up higher-order logarithmic terms for convergence and stability. We show that high-precision results can be achieved even when carrying out a more conservative fit by restricting the dataset to a region which is more clearly dominated by dijet events. This leads to $α_s(m_Z) = 0.1136 \pm 0.0012$ with $χ^2/{\rm dof}=0.86$, fully compatible with earlier results using a larger fit range. We also demonstrate that a number of additional effects associated to power corrections have a small impact on this fit result, including modifications to the renormalon substraction scheme for dijet power corrections and the inclusion of three-jet power correction models. The fit is also shown to provide very good agreement with data outside the fit range. |
| title | On Determining $α_s(m_Z)$ from Dijets in $e^+e^-$ Thrust |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2412.15164 |