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R evolution: Improving perturbative QCD

André H. Hoang, Ambar Jain, Ignazio Scimemi, and Iain W. Stewart
Phys. Rev. D 82, 011501(R) – Published 20 July 2010

Abstract

Perturbative QCD results in the MS¯ 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¯. Results in MSR depend on a cutoff parameter R, in addition to the μ of MS¯. R variations can be used to independently estimate (i.) the size of power corrections, and (ii.) higher-order perturbative corrections (much like μ in MS¯). 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 Q1GeV, and power corrections are reduced compared to MS¯.

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  • Received 27 August 2009

DOI:https://doi.org/10.1103/PhysRevD.82.011501

©2010 American Physical Society

Authors & Affiliations

André H. Hoang1, Ambar Jain2, Ignazio Scimemi3, and Iain W. Stewart2

  • 1Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805 München, Germany
  • 2Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 3Departamento de Fisica Teorica II, Universidad Complutense de Madrid, 28040 Madrid, Spain

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Vol. 82, Iss. 1 — 1 July 2010

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