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The Perturbative Pole Mass in QCD
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It is widely believed that the pole mass of a quark is infrared-finite and gauge-independent to all orders in perturbation theory. This seems not to have been proved in the literature. A proof is provided here.
Forward citations
Cited by 4 Pith papers
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Renormalon subtracted nonrelativistic QCD for heavy hadron systems
MRS-pNRQCD plus GFMC stabilizes heavy-hadron spectroscopy; NNLO baryon masses undershoot lattice QCD by 125–175 MeV with 1/m_Q scaling, and a critical mass ratio for tetraquark binding is extracted.
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Gauge-Invariant Off-Shell Mass
A segment-local Ward–Takahashi cancellation makes the fermion self-energy equal to its Feynman-gauge value off shell, yielding a gauge-invariant, on-shell-renormalized mass function m(q).
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Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD
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.
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Hyperasymptotic approximation to the top, bottom and charm pole mass
PV-regulated pole mass expansions produce a 28 MeV purely theoretical error for the top quark mass conversion at 163 GeV, with lattice cross-checks for the bottom and charm sectors.
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