2003
DOI: 10.1103/physrevd.67.034023
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Scale setting forαsbeyond leading order

Abstract: We present a general procedure for incorporating higher-order information into the scale-setting prescription of Brodsky, Lepage and Mackenzie. In particular, we show how to apply this prescription when the leading coefficient or coefficients in a series in the strong coupling αs are anomalously small and the original prescription can give an unphysical scale. We give a general method for computing an optimum scale numerically, within dimensional regularization, and in cases when the coefficients of a series a… Show more

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Cited by 41 publications
(46 citation statements)
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“…[70,79]. Here, we use q * = 2/a which is close to the calculated value for heavy-light currents using the same actions we are employing [70,80]. This is justified since the contributions coming from the current renormalization are larger than the intrinsic fourquark contributions [77].…”
Section: Matching Of the Lattice Matrix Elementsmentioning
confidence: 99%
“…[70,79]. Here, we use q * = 2/a which is close to the calculated value for heavy-light currents using the same actions we are employing [70,80]. This is justified since the contributions coming from the current renormalization are larger than the intrinsic fourquark contributions [77].…”
Section: Matching Of the Lattice Matrix Elementsmentioning
confidence: 99%
“…The matching between lattice and continuum is done at a scale µ = q * S = 1.66/a according to the prescription of Ref. [55]. Finally the MS quark mass and condensate are run to µ = 2 GeV using the usual two-loop formula.…”
Section: B Decay Constantsmentioning
confidence: 99%
“…When we match the lattice results to the continuum, we must introduce a matching scale q * [11]. A typical choice of q * lies in the range from 1/a to π/a [12].…”
Section: Introductionmentioning
confidence: 99%