Erratum to “decoupling of heavy quarks in the minimal subtraction scheme” [Nucl. Phys. B 197 (1982) 228–236]

Bernreuther, W.; Wetzel, Werner

doi:10.1016/s0550-3213(97)00811-0

Cited by 130 publications

(156 citation statements)

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“…However, the most common approach in the MS scheme is the use of a variable number of active flavors taken to be the number of flavors which mass satisfies m 2 ≤ µ 2 . The β m coefficients are then discontinuous at the thresholds µ =m and the solutions for a s at both sides of the thresholds are subject to adequate matching conditions [16][17][18]. Up to two loops (m = 1) the running coupling is continuous; at three loops a marginal term − 22 9 a 3 s appears, although its effects are numerically insignificant (some few per mil difference in the relevant regions) and we have neglected it in our NNLO analyses.…”

Section: Elements Of Qcd 11 Renormalization and The Running Couplingmentioning

confidence: 99%

Dynamical parton distributions of the nucleon

Jimenez-Delgado¹

2009

Nuclear Physics B - Proceedings Supplements

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Section: Elements Of Qcd 11 Renormalization and The Running Couplingmentioning

confidence: 99%

Dynamical parton distributions of the nucleon

Jimenez-Delgado¹

2009

Nuclear Physics B - Proceedings Supplements

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“…To facilitate the numerical analysis, we then prefer to rewrite the full expression for M n in terms of the coupling a defined in the n l -flavour theory. From the matching relations for a [45][46][47], it follows that this just amounts to using the corresponding β 1 with n l flavours in eq. (2.8).…”

Section: Coulomb Resummationmentioning

confidence: 99%

Bottom quark mass and αs from the ϒ system

Jamin¹,

Pich²

1997

Nuclear Physics B

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The mass of the bottom quark and the strong coupling constant α s are determined from QCD moment sum rules for the Υ system. Two analyses are performed using both the pole mass M b as well as the mass m b in the M S scheme. In the pole-mass scheme large perturbative corrections resulting from coulombic contributions have to be resummed. In the M S scheme this can be avoided by an appropriate choice for the renormalization scale. For the bottom quark mass we obtain M b = 4.60 ± 0.02 GeV and m b (m b ) = 4.13± 0.06 GeV. Our combined result from both determinations for the strong coupling is α s (M Z ) = 0.119 ± 0.008.

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“…(5) 0.62(6) [15] 0.74(10) 0.54(8) [16] 0.57 (8) There appears to be an irregular N fdependence, but we note that 1. the errors are not very small, 2. the 4-flavour Λ is related to the 5-flavour one by perturbation theory [17] which is then required to be accurate for µ ≪ m beauty .…”

Section: Discussionmentioning

confidence: 99%