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.
Parisi,Singularities of the Borel Transform in Renormalizable Theories,Phys
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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.