Subtracting IR Renormalons from Wilson Coefficients: Uniqueness and power dependences on $\Lambda_\mathrm{QCD}$

@article{Mishima2016SubtractingIR,
  title={Subtracting IR Renormalons from Wilson Coefficients: Uniqueness and power dependences on \$\Lambda\_\mathrm\{QCD\}\$},
  author={Go Mishima and Yukinari Sumino and Hiromasa Takaura},
  journal={Physical Review D},
  year={2016}
}
In the context of OPE and using the large-$\beta_0$ approximation, we propose a method to define Wilson coefficients free from uncertainties due to IR renormalons. We first introduce a general observable $X(Q^2)$ with an explicit IR cutoff, and then we extract a genuine UV contribution $X_\mathrm{UV}$ as a cutoff-independent part. $X_\mathrm{UV}$ includes power corrections $\sim (\Lambda_\mathrm{QCD}^2/Q^2)^n$ which are independent of renormalons. Using the integration-by-regions method, we… 

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References

SHOWING 1-10 OF 67 REFERENCES

Strong IR cancellation in heavy quarkonium and precise top mass determination

A bstractCombining recent perturbative analyses on the static QCD potential and the quark pole mass, we find that, for the heavy quarkonium states cc¯$$ c\overline{c} $$, bb¯$$ b\overline{b} $$ and

LargeN expansion of QED: asymptotic photon propagator and contributions to the muon anomaly, for any number of loops

AbstractWe calculate analytical contributions to then-loop asymptotic photon propagator from diagrams withn−1 electron loops, i.e. theO(1/N) terms in the largeN limit. The corresponding contributions

Understanding Interquark Force and Quark Masses in Perturbative QCD

This lecture note presents a self-contained introduction to the theory of a heavy quark-antiquark ($Q\bar{Q}$) system in terms of perturbative QCD. The lecture is intended for non-experts, such as

Static QCD potential atr<ΛQCD−1: Perturbative expansion and operator-product expansion

We analyze the static QCD potential V{sub QCD}(r) in the distance region 0.1 fm < or approx. r < or approx. 1 fm using perturbative QCD and operator-product expansion (OPE) as basic theoretical

R evolution: Improving perturbative QCD

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

Entropy, confinement, and chiral symmetry breaking

This paper studies the way in which confinement leads to chiral symmetry breaking (CSB) through a gap equation. We argue that a combination of entropic effects, related to fluctuations of Wilson

Scale setting in QCD and the momentum flow in Feynman diagrams.

  • Neubert
  • Physics
    Physical review. D, Particles and fields
  • 1995
A formalism to evaluate QCD diagrams with a single virtual gluon using a running coupling constant at the vertices that offers an intuitive understanding of the appearance of infrared renormalons in perturbation theory and their connection to the rate of convergence of a perturbative series.

On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions

We study the low-momentum behaviour of Yang-Mills propagators obtained from Landau-gauge Dyson-Schwinger equations (DSE) in the PT-BFM scheme. We compare the ghost propagator numerical results with
...