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20 April 2024
 
  » arxiv » hep-lat/0011049

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Scale Setting for $alpha_s$ Beyond Leading Order
K. Hornbostel ; G.P. Lepage ; C. Morningstar ;
Date 10 Nov 2000
Journal Nucl.Phys.Proc.Suppl. 94 (2001) 579-583
Subject hep-lat
AbstractWe present a general procedure for applying the scale-setting prescription of Brodsky, Lepage and Mackenzie to higher orders in the strong coupling constant $alphas$. In particular, we show how to apply this prescription when the leading coefficient or coefficients in a series in $alphas$ are anomalously small. We give a general method for computing an optimum scale numerically, within dimensional regularization, and in cases when the coefficients of a series are known. We find significant corrections to the scales for $R_{e^+ e^-}$, $Gamma(B o X_u e ar{ u})$, $Gamma(t o b W)$, and the ratios of the quark pole to $MSbar$ and lattice bare masses.
Source arXiv, hep-lat/0011049
Other source [GID 540054] hep-ph/0208224
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