A reanalysis of event shape distributions in electron-positron annihilation
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arXiv
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2025
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| author | Ren, Zhu-Yu Wang, Sheng-Quan Shen, Jian-Ming Wu, Xing-Gang Di Giustino, Leonardo |
| author_facet | Ren, Zhu-Yu Wang, Sheng-Quan Shen, Jian-Ming Wu, Xing-Gang Di Giustino, Leonardo |
| contents | Theoretical calculations for event shape observables are often determined by using the conventional scale setting; i.e. the procedure defined by setting the renormalization scale to the center-of-mass energy $μ_r=\sqrt{s}$ and evaluating theoretical uncertainties by varying the same scale $μ_r$ in an arbitrary range. Both the event shape distributions and the extracted QCD coupling $α_s$ are plagued by the large renormalization scale uncertainties when using the conventional scale setting. The Principle of Maximum Conformality (PMC) provides a rigorous method to eliminate the renormalization scheme and scale ambiguities in perturbative QCD predictions. In this paper, we perform a detailed analysis of the event shape observables by applying the PMC method together with the use of the physical $V$-scheme. The PMC scales are not simple single-valued functions, but depend with continuity on the value of the unintegrated event shape variable. This reflects the virtuality of the underlying quark and gluon subprocess and yields to a physical behavior of the scale all over the entire range of each observable. Moreover, the PMC scales in the $V$-scheme exhibits a faster increase compared to the $\overline{\rm MS}$ scheme, and a better convergence in the perturbative series can be obtained. Results obtained by the PMC method for the event shape variables, thrust ($T$), heavy jet mass ($ρ=M^2_H/s$), wide jet broadening ($B_W$), total jet broadening ($B_T$), C-parameter ($C$), are in agreement with the high precision experimental data, and for the case of the jet transition variable $Y_3$, we obtain a first improvement in the results to some extent compared with the $\overline{\rm MS}$ scheme. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_06130 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A reanalysis of event shape distributions in electron-positron annihilation Ren, Zhu-Yu Wang, Sheng-Quan Shen, Jian-Ming Wu, Xing-Gang Di Giustino, Leonardo High Energy Physics - Phenomenology High Energy Physics - Experiment Theoretical calculations for event shape observables are often determined by using the conventional scale setting; i.e. the procedure defined by setting the renormalization scale to the center-of-mass energy $μ_r=\sqrt{s}$ and evaluating theoretical uncertainties by varying the same scale $μ_r$ in an arbitrary range. Both the event shape distributions and the extracted QCD coupling $α_s$ are plagued by the large renormalization scale uncertainties when using the conventional scale setting. The Principle of Maximum Conformality (PMC) provides a rigorous method to eliminate the renormalization scheme and scale ambiguities in perturbative QCD predictions. In this paper, we perform a detailed analysis of the event shape observables by applying the PMC method together with the use of the physical $V$-scheme. The PMC scales are not simple single-valued functions, but depend with continuity on the value of the unintegrated event shape variable. This reflects the virtuality of the underlying quark and gluon subprocess and yields to a physical behavior of the scale all over the entire range of each observable. Moreover, the PMC scales in the $V$-scheme exhibits a faster increase compared to the $\overline{\rm MS}$ scheme, and a better convergence in the perturbative series can be obtained. Results obtained by the PMC method for the event shape variables, thrust ($T$), heavy jet mass ($ρ=M^2_H/s$), wide jet broadening ($B_W$), total jet broadening ($B_T$), C-parameter ($C$), are in agreement with the high precision experimental data, and for the case of the jet transition variable $Y_3$, we obtain a first improvement in the results to some extent compared with the $\overline{\rm MS}$ scheme. |
| title | A reanalysis of event shape distributions in electron-positron annihilation |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2503.06130 |