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Designing Gapped Soft Functions for Jet Production

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arxiv 0709.3519 v1 pith:QOE7HIFR submitted 2007-09-24 hep-ph hep-thnucl-th

Andre H. Hoang , Iain W. Stewart This is my paper · ORCID
classification hep-phhep-thnucl-th
keywords softfunctionfunctionshadronicjetsleadingnonperturbativeperturbative
verification ladder T0 review T1 audit T2 compute T3 formal
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Distributions in jet production often depend on a soft function, S, which describes hadronic radiation between the jets. Near kinematic thresholds S encodes nonperturbative information, while far from thresholds S can be computed with an operator product expansion (OPE). We design soft functions for jets that serve this dual purpose, reducing to the perturbative result in the OPE region and to a consistent model in the nonperturbative region. We use the MSbar scheme, and in both regions S displays the appropriate renormalization group scale dependence. We point out that viable soft function models should have a gap associated with the minimum hadronic energy deposit. This gap is connected to the leading O(Lambda_QCD) renormalon ambiguity in jet event shapes. By defining the gap in a suitable scheme we demonstrate that the leading renormalon can be eliminated. This improves the convergence of perturbative results, and also the stability by which non-perturbative parameters encode the underlying soft physics.

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Cited by 6 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. Centauric 1-Jettiness in DIS and Universal Power Corrections

    hep-ph 2026-06 unverdicted novelty 7.0 of 10

    Introduces Centauric 1-jettiness in DIS, derives N3LL resummation matched to NLO, and establishes universal non-perturbative power corrections scaling as 1/R via reduction to rescaled hemisphere soft function.

  3. 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.

  4. Three-loop jet function for boosted heavy quarks

    hep-ph 2024-12 conditional novelty 6.0 of 10

    The three-loop inclusive bHQET jet function for boosted heavy quarks is computed analytically, completing the fixed-order ingredients for N3LL' top-mass observables.

  5. 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.

  6. Energy Correlators: A Journey From Theory to Experiment

    hep-ph 2025-06 unverdicted novelty 1.0 of 10

    A review of energy correlators and their role in QCD, collider experiments, and formal quantum field theory.

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