Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scale Setting for $\alpha_s$ Beyond Leading Order   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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The categories of this paper are: comp-gas
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg