NLO coherent-branching derivation
The argument
Because the coherent-branching mass at next-to-leading order differs from the pole mass by a shift linear in the shower infrared cutoff, and given that the pole mass carries an intrinsic renormalon ambiguity, the cutoff acts as an infrared subtraction that removes the renormalon, which is the defining property of a short-distance scheme; numerically the shift amounts to roughly 300 to 500 MeV for the top quark at the Herwig 7 cutoff of 1.25 GeV. Independently of the derivation, calibration studies find the Monte Carlo top-quark mass agrees with the MSR mass at 1 GeV within about 200 MeV, as expected if the generator mass is a low-scale short-distance mass rather than the pole mass.
Does it work?
Not yet evaluated.
Premises
- SupportedThe evidence favors the claim, but the examination is incomplete or the evidence is indirect.constitution →At next-to-leading order, the coherent-branching quark mass parameter differs from the pole mass by a shift linear in the shower infrared cutoff
- UnassessedNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitution →The top-quark pole mass has an intrinsic renormalon ambiguity of roughly 110 to 250 MeV
- VerifiedThe evidence, examined directly, establishes the claim.constitution →Calibration studies find the Monte Carlo top-quark mass agrees with the MSR mass at 1 GeV within about 200 MeV
Where it is made
Passages where sources make, criticize or mention this argument. They record where it appears, not how strong it is, and none has precedence over another.
No source is recorded as making it.
Earlier ratings
- Jul 19, 2026
The inference is sound: linear dependence on an infrared cutoff is the standard diagnostic of a short-distance scheme, so the conclusion follows once the shift is established. The argument lives on the next-to-leading-order calculation of the linear cutoff shift, which is peer reviewed and unchallenged on its own terms, with the pole mass renormalon ambiguity supplying the settled background that makes the short-distance contrast meaningful. The calibration agreement with the MSR mass at 1 GeV adds numerical corroboration from an independent method but is not load-bearing; the argument would stand without it.
- Jul 19, 2026
The inference is sound: linear dependence on an infrared cutoff is the standard diagnostic of a short-distance scheme, so the conclusion follows once the shift is established. The argument lives on the next-to-leading-order calculation of the linear cutoff shift, which is peer reviewed and unchallenged on its own terms, with the pole mass renormalon ambiguity supplying the settled background that makes the short-distance contrast meaningful. The quantified half-GeV top-quark shift adds numerical corroboration but is not load-bearing.