A Precise Determination of $α_s$ from the Heavy Jet Mass Distribution
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arXiv
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2025
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| author | Benitez, Miguel A. Bhattacharya, Arindam Hoang, Andre H. Mateu, Vicent Schwartz, Matthew D. Stewart, Iain W. Zhang, Xiaoyuan |
| author_facet | Benitez, Miguel A. Bhattacharya, Arindam Hoang, Andre H. Mateu, Vicent Schwartz, Matthew D. Stewart, Iain W. Zhang, Xiaoyuan |
| contents | A global fit for $α_s(m_Z)$ is performed on available $e^+e^-$ data for the heavy jet mass distribution. The state-of-the-art theory prediction includes $\mathcal{O}(α_s^3)$ fixed-order results, N$^3$LL$^\prime$ dijet resummation, N$^2$LL Sudakov shoulder resummation, and a first-principles treatment of power corrections in the dijet region. Theoretical correlations are incorporated through a flat random-scan covariance matrix. The global fit results in $0.1148^{+ 0.0015}_{-0.0022}$, compatible with similar determinations from thrust and $C$-parameter. Dijet resummation is essential for a robust fit, as it engenders insensitivity to the fit-range lower cutoff; without resummation the fit-range sensitivity is overwhelming. In addition, we find evidence for a negative power correction in the trijet region if and only if Sudakov shoulder resummation is included. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12253 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Precise Determination of $α_s$ from the Heavy Jet Mass Distribution Benitez, Miguel A. Bhattacharya, Arindam Hoang, Andre H. Mateu, Vicent Schwartz, Matthew D. Stewart, Iain W. Zhang, Xiaoyuan High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory A global fit for $α_s(m_Z)$ is performed on available $e^+e^-$ data for the heavy jet mass distribution. The state-of-the-art theory prediction includes $\mathcal{O}(α_s^3)$ fixed-order results, N$^3$LL$^\prime$ dijet resummation, N$^2$LL Sudakov shoulder resummation, and a first-principles treatment of power corrections in the dijet region. Theoretical correlations are incorporated through a flat random-scan covariance matrix. The global fit results in $0.1148^{+ 0.0015}_{-0.0022}$, compatible with similar determinations from thrust and $C$-parameter. Dijet resummation is essential for a robust fit, as it engenders insensitivity to the fit-range lower cutoff; without resummation the fit-range sensitivity is overwhelming. In addition, we find evidence for a negative power correction in the trijet region if and only if Sudakov shoulder resummation is included. |
| title | A Precise Determination of $α_s$ from the Heavy Jet Mass Distribution |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2502.12253 |