Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-08-23
AIP Conf.Proc.1182:503-507,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 pages, 3 figures, axis label for Fig.2 fixed
Scientific paper
10.1063/1.3293856
Perturbative QCD results in the MSbar scheme can be dramatically improved by switching to a scheme that accounts for the dominant power law dependence on the factorization scale in the operator product expansion. We introduce the ``MSR scheme'' which achieves this in a Lorentz and gauge invariant way. The MSR scheme has a very simple relation to MSbar, and can be easily used to reanalyze MSbar results. Results in MSR depend on a cutoff parameter R, in addition to the mu of MSbar. R variations can be used to independently estimate i) the size of power corrections, and ii) higher order perturbative corrections (much like mu in MSbar). We give two examples at three-loop order, the ratio of mass splittings in the B*-B and D*-D systems, and the Ellis-Jaffe sum rule as a function of momentum transfer Q in deep inelastic scattering. Comparing to data, the perturbative MSR results work well even for Q ~ 1 GeV, and the size of power corrections is reduced compared to those in MSbar.
Hoang Andre H.
Jain Ambar
Scimemi Ignazio
Stewart Iain W.
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