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Linear power corrections to $e^+e^-$ shape variables in the three-jet region

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arxiv 2204.02247 v2 pith:H3UA7F76 submitted 2022-04-05 hep-ph

classification hep-ph
keywords powercorrectionsregionlinearconstantfactorshapethree-jet
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We use an abelian model to study linear power corrections which arise from infrared renormalons and affect event shapes in $e^+e^-$ annihilation into hadrons. While previous studies explored power corrections in the two-jet region, in this paper we focus on the three-jet region, which is the most relevant one for the determination of the strong coupling constant. We show that for a broad class of shape variables, linear power corrections can be written in a factorised form, that involves an analytically-calculable function, that characterises changes in the shape variable when a soft parton is emitted, and a constant universal factor. This universal factor is proportional to the so-called Milan factor, introduced in earlier literature to describe linear power corrections in the two-jet region. We find that the power corrections in the two-jet and in the three-jet regions are different, a result which is bound to have important consequences for the determination of the strong coupling constant from event shapes. As a further illustration of the power of the approach developed in this paper, we provide explicit analytic expressions for the leading power corrections to the $C$-parameter and the thrust distributions in the $N$-jet region for arbitrary $N$, albeit in the abelian model.

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Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Precision $e^+e^-$ Hemisphere Masses in the Dijet Region with Power Corrections

    hep-ph 2025-06 conditional novelty 8.0 of 10

    N3LL' resummation for heavy jet and dihemisphere masses in the dijet region, with a new claim that heavy jet mass moments require an extra non-perturbative parameter at order 1/Q.

  2. Exploring soft anomalous dimensions for $1/Q$ power corrections

    hep-ph 2024-11 conditional novelty 8.0 of 10

    The leading logarithmic correction to the 1/Q power correction for thrust and C-parameter is computed, with a sizeable coefficient S1 ≈ 2.455 and a universal C-to-thrust ratio of 3π/2.

  3. Anomalous scaling of linear power corrections

    hep-ph 2025-07 conditional novelty 7.0 of 10

    For thrust, C-parameter, and energy correlators, the 1/Q hadronization correction is multiplied by R(Q) = (alpha_s(Q)/alpha_s(mu_np))^{C_A S_1/beta_0} with S_1 = 8(1-ln2), an all-order exponential derived under the li...

  4. The Three-Point Energy Correlator in the Coplanar Limit

    hep-ph 2024-11 conditional novelty 7.0 of 10

    A new tau_p projection makes the coplanar limit of the three-point energy correlator a TMD-factorized trijet observable, resummed to N3LL, the first trijet event shape at this order.

  5. Heavy Jet Mass in Hadronic Higgs Decays

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Heavy jet mass in hadronic Higgs decays is predicted at N³LL′ (dijet) plus NNLL (Sudakov shoulder) plus NNLO, with new analytic trijet-region logarithms for H→gg and H→q̄q.

  6. Precise Predictions for Event Shapes in Hadronic Higgs Decays

    hep-ph 2025-08 conditional novelty 6.0 of 10

    First NNLO QCD predictions for six classical event-shape distributions and soft-drop thrust in hadronic Higgs decays, for both H to b bbar and H to gg channels.

  7. Power corrections in the determination of heavy meson LCDAs: A renormalon-based estimation

    hep-ph 2025-05 conditional novelty 5.0 of 10

    Using the renormalon model, the paper estimates that power corrections to the QCD-to-HQET light-cone distribution amplitude matching are around 22% for the D meson and 7% for the B meson in the peak region.

  8. On Determining $\alpha_s(m_Z)$ from Dijets in $e^+e^-$ Thrust

    hep-ph 2024-12 conditional novelty 5.0 of 10

    An updated N3LL'+O(alpha_s^3) thrust analysis yields alpha_s(m_Z)=0.1136 +/- 0.0012 from a dijet-restricted global fit, stable under fit-range, gap-scheme, and hadronization-model variations.

  9. Fits of $\alpha_s$ from event-shapes in the three-jet region: extension to all energies

    hep-ph 2025-01 conditional novelty 4.0 of 10

    The strong coupling at the Z mass is measured as 0.1181 from event-shape distributions using three-jet power corrections, with hadron-mass scheme ambiguity as the largest uncertainty.

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