A new determination of higher-order QCD corrections to hadronic $τ$ decays
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915736543297536 |
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| author | Abbas, Gauhar Singh, Vartika |
| author_facet | Abbas, Gauhar Singh, Vartika |
| contents | We employ \textit{Levin-type sequence transformations} to accelerate the convergence of the perturbative fixed-order expansion of the QCD correction $δ^{(0)}$ in terms of the strong coupling $α_s$. The method efficiently resums the series, yielding a stable and self-consistent determination of higher-order QCD corrections to hadronic $τ$ decays, consistent with existing results. We find $δ^{(0)}_{\text{Levin-FOPT}} = 0.2089 \pm 0.0040 \, \pm 0.0060_{α_s} \, $, and predict $ c_{5,1} = 278^{+27}_{-19}, \quad c_{6,1} = 3375^{+489}_{-209}, \quad c_{7,1} = (2.03^{+0.41}_{-0.25}) \times 10^4. $ Our results demonstrate that Levin-type transformations provide an efficient framework for analyzing asymptotic perturbative series, and studying the higher order perturbative behaviour of the hadronic $τ$ decays. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_16119 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A new determination of higher-order QCD corrections to hadronic $τ$ decays Abbas, Gauhar Singh, Vartika High Energy Physics - Phenomenology High Energy Physics - Experiment We employ \textit{Levin-type sequence transformations} to accelerate the convergence of the perturbative fixed-order expansion of the QCD correction $δ^{(0)}$ in terms of the strong coupling $α_s$. The method efficiently resums the series, yielding a stable and self-consistent determination of higher-order QCD corrections to hadronic $τ$ decays, consistent with existing results. We find $δ^{(0)}_{\text{Levin-FOPT}} = 0.2089 \pm 0.0040 \, \pm 0.0060_{α_s} \, $, and predict $ c_{5,1} = 278^{+27}_{-19}, \quad c_{6,1} = 3375^{+489}_{-209}, \quad c_{7,1} = (2.03^{+0.41}_{-0.25}) \times 10^4. $ Our results demonstrate that Levin-type transformations provide an efficient framework for analyzing asymptotic perturbative series, and studying the higher order perturbative behaviour of the hadronic $τ$ decays. |
| title | A new determination of higher-order QCD corrections to hadronic $τ$ decays |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2510.16119 |