Thrust distribution in electron-positron annihilation at full NNNLL+NNLO (and beyond) in QCD
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| Format: | Preprint |
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2025
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| _version_ | 1866908212625670144 |
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| author | Aglietti, Ugo Giuseppe Ferrera, Giancarlo Ju, Wan-Li Miao, Jiahao |
| author_facet | Aglietti, Ugo Giuseppe Ferrera, Giancarlo Ju, Wan-Li Miao, Jiahao |
| contents | We consider the thrust ($T$) distribution in electron-positron ($e^+e^-$) annihilation into hadrons and we perform the all-order resummation of the large logarithms of $1-T$ up to next-to-next-to-next-to-next-to-leading logarithmic (N$^4$LL) accuracy in QCD. We consistently combine resummed predictions with the known fixed-order results up to next-to-next-to-leading order (NNLO). All perturbative terms up to order $α_S^3$ are included in our calculation which, thanks to a unitarity constraint, exactly reproduce after integration over the variable $T$ the next-to-next-to-next-to-leading order (N$^3$LO) result for the total cross section of $e^+e^-$ into hadrons. We resum the large logarithms in the Laplace-conjugated space and compare our results with those obtained with the analytic resummation formalism in the physical ($T$) space. We find that the differences in the spectra obtained with the two different formalisms are sizable. Non-perturbative corrections have been included through an analytic hadronization model depending on two free parameters. Finally, we present a comparison of our spectra with experimental data at the $Z$-boson mass ($m_Z$) energy, which enables us to extract the value of the QCD coupling $α_S(m_Z^2)=0.1181 \pm 0.0018$ fully consistent with the world average. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_01570 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thrust distribution in electron-positron annihilation at full NNNLL+NNLO (and beyond) in QCD Aglietti, Ugo Giuseppe Ferrera, Giancarlo Ju, Wan-Li Miao, Jiahao High Energy Physics - Phenomenology We consider the thrust ($T$) distribution in electron-positron ($e^+e^-$) annihilation into hadrons and we perform the all-order resummation of the large logarithms of $1-T$ up to next-to-next-to-next-to-next-to-leading logarithmic (N$^4$LL) accuracy in QCD. We consistently combine resummed predictions with the known fixed-order results up to next-to-next-to-leading order (NNLO). All perturbative terms up to order $α_S^3$ are included in our calculation which, thanks to a unitarity constraint, exactly reproduce after integration over the variable $T$ the next-to-next-to-next-to-leading order (N$^3$LO) result for the total cross section of $e^+e^-$ into hadrons. We resum the large logarithms in the Laplace-conjugated space and compare our results with those obtained with the analytic resummation formalism in the physical ($T$) space. We find that the differences in the spectra obtained with the two different formalisms are sizable. Non-perturbative corrections have been included through an analytic hadronization model depending on two free parameters. Finally, we present a comparison of our spectra with experimental data at the $Z$-boson mass ($m_Z$) energy, which enables us to extract the value of the QCD coupling $α_S(m_Z^2)=0.1181 \pm 0.0018$ fully consistent with the world average. |
| title | Thrust distribution in electron-positron annihilation at full NNNLL+NNLO (and beyond) in QCD |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2502.01570 |