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Phenomenology of Power Corrections in Fragmentation Processes in e^+ e^- Annihilation

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arxiv hep-ph/9701309 v1 pith:ICGXV6BP submitted 1997-01-16 hep-ph

M. Beneke (CERN) , V.M. Braun , L. Magnea (NORDITA) This is my paper · ORCID
classification hep-ph
keywords correctionspowerfragmentationlongitudinalcrossprocessessectiontransverse
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We analyse power corrections to longitudinal and transverse fragmentation processes in e^+ e^- annihilation, based on the assumption of ultraviolet dominance of power corrections. Under this assumption, we determine the dependence of power corrections on the scaling variable x from the infrared renormalon asymptotics of leading power coefficient functions. Our results suggest that the longitudinal and transverse gluon fragmentation coefficient functions receive corrections of order 1/(x Q)^2. The power expansion breaks down at x<\Lambda/Q and has to be resummed. This resummation leads to 1/Q corrections to the longitudinal and transverse cross section, which cancel for the total cross section. We provide a simple parametrization of the x dependence of 1/Q^2 corrections to fragmentation processes and investigate perturbative corrections to the longitudinal cross section in higher orders, in view of a determination of the strong coupling.

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Cited by 2 Pith papers

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  1. 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...

  2. 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.

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