2000
DOI: 10.1016/s0370-2693(00)00507-4
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The three-loop relation between the and the pole quark masses

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Cited by 503 publications
(472 citation statements)
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“…where M s from [10] and in the conversion to the MS scheme the known 4-loop anomalous dimensions of quark masses and coupling [20,21] together with Λ MS from [10] were used. For the D-meson decay constants, we adopt again fit ansätze linear in m 2 π (and a 2 ), while for f D we also model the sea quark dependence in a fit form inspired by partially quenched heavy meson chiral perturbation theory (HMχPT) [22,23], treating the charm quark as heavy, viz.…”
Section: Preliminary Resultsmentioning
confidence: 99%
“…where M s from [10] and in the conversion to the MS scheme the known 4-loop anomalous dimensions of quark masses and coupling [20,21] together with Λ MS from [10] were used. For the D-meson decay constants, we adopt again fit ansätze linear in m 2 π (and a 2 ), while for f D we also model the sea quark dependence in a fit form inspired by partially quenched heavy meson chiral perturbation theory (HMχPT) [22,23], treating the charm quark as heavy, viz.…”
Section: Preliminary Resultsmentioning
confidence: 99%
“…where the coefficients d ðlÞ are actually known to three-loop order [27][28][29]. We will derive explicit formulas through NNLO for the dependence of the structure functions on the MS mass m c ðm c Þ.…”
Section: B Improved Treatment Of the Massive Charged-current Nnlo Comentioning
confidence: 99%
“…known up to N 3 LO in perturbation theory [19][20][21][22][23][24][25]. The NLO expression reads used for N f = 2 in the present analysis.…”
Section: The B Quark Massmentioning
confidence: 99%