We present predictions for the DIS 1-jettiness event shape <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>τ</mi> <mn>1</mn> <mi>b</mi> </msubsup> </math></EquationSource> <EquationSource Format="TEX">$ {\tau}_1^b $</EquationSource> </InlineEquation>, or DIS thrust, using the framework of Soft Collinear Effective Theory (SCET) for factorization, resummation of large logarithms, and rigorous treatment of nonperturbative power corrections, matched to fixed-order QCD away from the resummation region. Our predictions reach next-to-next-to-next-to-leading-logarithmic (N3LL) accuracy in resummed perturbation theory, matched to <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">O</mi> </math></EquationSource> <EquationSource Format="TEX">$ \mathcal{O} $</EquationSource> </InlineEquation>(<InlineEquation ID="IEq3"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>α</mi> <mi>s</mi> <mn>2</mn> </msubsup> </math></EquationSource> <EquationSource Format="TEX">$ {\alpha}_s^2 $</EquationSource> </InlineEquation>) fixed-order QCD calculations obtained using the program NLOJet++. We include a rigorous treatment of hadronization corrections, which are universal across different event shapes and kinematic variables x and Q at leading power, and supplement them with a systematic scheme to remove <InlineEquation ID="IEq4"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">O</mi> </math></EquationSource> <EquationSource Format="TEX">$ \mathcal{O} $</EquationSource> </InlineEquation>(ΛQCD) 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 αs and the universal nonperturbative first moment parameter Ω1.

Precision DIS thrust predictions for HERA and EIC

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2025年7月24日

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June-Haak Ee,
Daekyoung Kang,
Christopher Lee,
Iain W. Stewart

摘要

We present predictions for the DIS 1-jettiness event shape $τ_{1}^{b}$ $ {\tau}_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 (N³LL) accuracy in resummed perturbation theory, matched to $O$ $ \mathcal{O} $ ( $α_{s}^{2}$ $ {\alpha}_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 $O$ $ \mathcal{O} $ (Λ_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 Ω₁.