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arXiv 0908.3189hep-phnucl-th
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R-进化：扰动QCD的改进

R-evolution: Improving perturbative QCD

Andre H. Hoang, Ambar Jain, Ignazio Scimemi, Iain W. Stewart

备注：
4 pages, 3 figures, axis label for Fig.2 fixed
发表信息：
Phys.Rev.D82:011501,2010
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摘要：

微扰QCD的结果在MSbar计划可以显着改善切换到一个计划，占主导地位的幂律依赖于算子乘积展开的因式分解规模。我们介绍的“MSR计划”，实现这一点的洛伦兹和规范不变的方式。MSR格式与MSbar的关系非常简单，可以很容易地用于重新分析MSbar结果。MSR的结果取决于截止参数R以及MSbar的μ。R变化可用于独立地估计i）功率校正的大小，以及ii）高阶微扰校正（非常类似于MSbar中的μ）。我们给出了两个三圈阶的例子，B*-B和D*-D系统中的质量分裂比，以及作为动量传递Q的函数的Ellis-Jaffe求和规则。与实验数据相比，微扰MSR的结果在Q ~ 1GeV时也能很好地工作，并且与MSbar相比，功率修正的大小减小了。

英文摘要：

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.

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