Precision DIS thrust predictions for HERA and EIC
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918141417750528 |
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| author | Ee, June-Haak Kang, Daekyoung Lee, Christopher Stewart, Iain W. |
| author_facet | Ee, June-Haak Kang, Daekyoung Lee, Christopher Stewart, Iain W. |
| contents | We present predictions for the DIS 1-jettiness event shape $τ_1^b$, or DIS thrust, using the framework of Soft Collinear Effective Theory (SCET) for factorization, resummation of large logarithms, and rigorous treatment of nonperturbative power corrections, matched to fixed-order QCD away from the resummation region. Our predictions reach next-to-next-to-next-to-leading-logarithmic (N$^3$LL) accuracy in resummed perturbation theory, matched to $O(α_s^2)$ fixed-order QCD calculations obtained using the program NLOJet++. We include a rigorous treatment of hadronization corrections, which are universal across different event shapes and kinematic variables $x$ and $Q$ at leading power, and supplement them with a systematic scheme to remove $O(Λ_\textrm{QCD})$ renormalon ambiguities in their definition. The framework of SCET allows us to connect smoothly the nonperturbative, resummation, and fixed-order regions, whose relative importance varies with $x$ and $Q$, and to rigorously estimate theoretical uncertainties, across a broad range of $x$ and $Q$ covering existing experimental results from HERA as well as expected new measurements from the upcoming Electron-Ion-Collider (EIC). Our predictions will serve as an important benchmark for the EIC program, enabling the precise determination of the QCD strong coupling $α_s$ and the universal nonperturbative first moment parameter $Ω_1$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_05234 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Precision DIS thrust predictions for HERA and EIC Ee, June-Haak Kang, Daekyoung Lee, Christopher Stewart, Iain W. High Energy Physics - Phenomenology Nuclear Theory We present predictions for the DIS 1-jettiness event shape $τ_1^b$, or DIS thrust, using the framework of Soft Collinear Effective Theory (SCET) for factorization, resummation of large logarithms, and rigorous treatment of nonperturbative power corrections, matched to fixed-order QCD away from the resummation region. Our predictions reach next-to-next-to-next-to-leading-logarithmic (N$^3$LL) accuracy in resummed perturbation theory, matched to $O(α_s^2)$ fixed-order QCD calculations obtained using the program NLOJet++. We include a rigorous treatment of hadronization corrections, which are universal across different event shapes and kinematic variables $x$ and $Q$ at leading power, and supplement them with a systematic scheme to remove $O(Λ_\textrm{QCD})$ renormalon ambiguities in their definition. The framework of SCET allows us to connect smoothly the nonperturbative, resummation, and fixed-order regions, whose relative importance varies with $x$ and $Q$, and to rigorously estimate theoretical uncertainties, across a broad range of $x$ and $Q$ covering existing experimental results from HERA as well as expected new measurements from the upcoming Electron-Ion-Collider (EIC). Our predictions will serve as an important benchmark for the EIC program, enabling the precise determination of the QCD strong coupling $α_s$ and the universal nonperturbative first moment parameter $Ω_1$. |
| title | Precision DIS thrust predictions for HERA and EIC |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2504.05234 |