R-evolution: Improving perturbative QCD
Aug, 2009
4 pages
Published in:
- Phys.Rev.D 82 (2010) 011501
e-Print:
- 0908.3189 [hep-ph]
Report number:
- MIT-CTP-4062,
- MPP-2009-156
View in:
Citations per year
Abstract: (arXiv)
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.Note:
- 4 pages, 3 figures, axis label for Fig.2 fixed
- 12.38.Aw
- 12.38.Bx
- 11.15.Bt
- 11.10.Gh
- QCD
- numerical analysis
- supersymmetry
- quantum chromodynamics
- sum rule: Ellis-Jaffe
- factorization
References(16)
Figures(3)