Pole mass renormalon and its ramifications

Abstract

I review the structure of the leading infrared renormalon divergence of the relation between the pole mass and the $\overline{\mathrm{MS}}$ 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.

23 pages, LaTex, contribution to EPJ ST "Renormalons and Hyperasymptotics in QCD"; v2: missing minus signs in tables 2 and 3 corrected

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• The five-loop beta function of Yang-Mills theory with fermions
• Quark mass relations to four-loop order
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• The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
• Infrared Renormalization Group Flow for Heavy Quark Masses
• The bottom-quark mass from non-relativistic sum rules at NNNLO
• The bottom quark mass from the ${\rm Y}(1S)$ system at NNNLO
• Light quark mass effects in the on-shell renormalization constants
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• Analytic three-loop static potential
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Cited by in corpus (17)

• Lifetimes of singly charmed hadrons
• Reconciling the Contour-Improved and Fixed-Order Approaches for $\tau$ Hadronic Spectral Moments I: Renormalon-Free Gluon Condensate Scheme
• QCD factorization for the four-body leptonic $B$-meson decays
• Reconciling the Contour-Improved and Fixed-Order Approaches for $\tau$ Hadronic Spectral Moments II: Renormalon Norm and Application in ${\alpha }_s$ Determinations
• Analytic result for the top-quark width at next-to-next-to-leading order in QCD
• The width difference in the $B-\bar{B}$ system at next-to-next-to-leading order of QCD
• Testing parton distribution functions with t-channel single-top-quark production
• Study of singly heavy baryon lifetimes
• Revisiting lifetimes of doubly charmed baryons
• Higher Twists
• Determination of $|V_{cb}|$ using N${}^3$LO perturbative corrections to $\Gamma (B\to X_c\ell \nu )$ and 1S masses
• Precise determination of the top-quark on-shell mass $M_t$ via its scale-invariant perturbative relation to the top-quark $\overline{\mathrm{MS}}$ mass ${\overline{m}}_t({\overline{m}}_t)$
• On-shell Matrix Elements of the EMT Trace in Gauge Theories and Heavy Quark Masses
• $H\to \gamma \gamma$ to all orders in ${\alpha }_s$ in the large-${\beta }_0$ limit of QCD
• Measurement of the top-quark pole mass in dileptonic $t\bar{t}+1\text{-jet}$ events at $\sqrt{s}=13$ TeV with the ATLAS experiment
• Reconciling the FOPT and CIPT Predictions for the Hadronic Tau Decay Rate
• ILM gluons in perturbative QCD