Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-08-24
Phys.Rev. D67 (2003) 034023
Physics
High Energy Physics
High Energy Physics - Phenomenology
39 pages, 15 figures, 5 tables, LaTeX2e
Scientific paper
10.1103/PhysRevD.67.034023
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 alpha_s 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 are known. We apply it to the heavy quark mass and energy renormalization in lattice NRQCD, and to a variety of known series. Among the latter, we find significant corrections to the scales for the ratio of e+e- to hadrons over muons, the ratio of the quark pole to MSbar mass, the semi-leptonic B-meson decay width, and the top decay width. Scales for the latter two decay widths, expressed in terms of MSbar masses, increase by factors of five and thirteen, respectively, substantially reducing the size of radiative corrections.
Hornbostel Kent
Lepage Peter G.
Morningstar Colin
No associations
LandOfFree
Scale setting for alpha_s beyond leading order does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Scale setting for alpha_s beyond leading order, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scale setting for alpha_s beyond leading order will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-536561