Scale Setting for $α_s$ Beyond Leading Order

Details Scale Setting for $α_s$ Beyond Leading Order Scale Setting for $α_s$ Beyond Leading Order

2000-11-10

arxiv.org/abs/hep-lat/0011049v1

Nucl.Phys.Proc.Suppl. 94 (2001) 579-583

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice 2000 (Perturbation Theory), 5 pages, 7 figures, LaTeX

Scientific paper

10.1016/S0920-5632(01)00871-4

We 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 $R_{e^+ e^-}$, $\Gamma(B \to X_u e \bar{\nu})$, $\Gamma(t \to b W)$, and the ratios of the quark pole to $\MSbar$ and lattice bare masses.

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