# 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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