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Pole mass renormalon and its ramifications

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arxiv 2108.04861 v2 pith:ZZ27KHNR submitted 2021-08-10 hep-ph

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

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abstract

I review the structure of the leading infrared renormalon divergence of the relation between the pole mass and the $\overline{\rm MS}$ mass of a heavy quark, with applications to the top, bottom and charm quark. That the pole quark mass definition must be abandoned in precision computations is a well-known consequence of the rapidly diverging series. The definitions and physics motivations of several leading renormalon-free, short-distance mass definitions suitable for processes involving nearly on-shell heavy quarks are discussed.

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Cited by 2 Pith papers

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

  1. Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD

    hep-ph 2025-09 conditional novelty 6.0 of 10

    The sigma-mass, obtained by subtracting the trace-anomaly contribution from the pole mass, is free of the leading infrared renormalon, with its relation to the pole mass now known to five loops.

  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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