Journal
PHYSICAL REVIEW D
Volume 82, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.82.011501
Keywords
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Funding
- EU [MRTN-CT-2006-035482]
- Banco Santander Central Hispano UCM-BSCH [GR58/08 910309]
- Spanish MEC [FPA2008-00592]
- Ramon y Cajal Program
- Office of Nuclear Physics of the U. S. Department of Energy [DE-FG02-94ER40818]
- Alexander von Humboldt foundation
- Max-Planck-Institut fur Physik
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Perturbative QCD results in the (MS) over bar 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 and has a very simple relation to (MS) over bar. Results in MSR depend on a cutoff parameter R, in addition to the mu of (MS) over bar. R variations can be used to independently estimate (i.) the size of power corrections, and (ii.) higher-order perturbative corrections (much like mu in (MS) over bar). 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 similar to 1 GeV, and power corrections are reduced compared to (MS) over bar.
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