R-evolution: Improving perturbative QCD

TL;DR

The paper introduces the MSR scheme, a new approach to improve perturbative QCD calculations by accounting for power law dependence, providing better agreement with data at lower energies.

Contribution

The MSR scheme offers a Lorentz and gauge invariant method to incorporate power corrections into perturbative QCD, with a simple relation to MSbar and a new cutoff parameter R.

Findings

MSR scheme reduces power correction size compared to MSbar.

MSR provides accurate results at Q ~ 1 GeV.

R variations estimate power and higher order corrections.

Abstract

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.