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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.10786 |
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Table of Contents:
- We demonstrate that the leading IR-renormalon divergence in the perturbative pole mass of a massive quark resides entirely in the contribution from the trace anomaly of the energy-momentum tensor in QCD. Consequently, the recently proposed trace-anomaly-subtracted $σ$-mass definition for heavy quarks is not only scheme- and scale-invariant, but also free from the leading IR-renormalon ambiguity. We further derive a formula connecting this $σ$-mass to the perturbative pole mass, solely in terms of the QCD $β$-function, quark-mass anomalous dimension $γ_m$ and a proper rewritten form of the pole-to-$\overline{\mathrm{MS}}$ mass conversion factor. Utilizing this formula along with the ingredients available in the literature, we present the explicit five-loop result for the perturbative relationship between the $σ$-mass and the perturbative pole mass in QCD under the approximation of keeping only a single quark massive. Given the theoretical merits of this mass definition and the availability of high-precision conversion relations, we encourage its application to high-energy processes with heavy quarks, e.g., $H \rightarrow b\bar{b} + X_{\mathrm{QCD}}$, and to current-current correlators used in determining heavy-quark masses and decay widths.