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One major systematic uncertainty of lattice QCD results is due to thecontinuum extrapolation. For an asymptotically free theory like QCD one findscorrections of the form$a^{n_\mathrm{min}}[2b_0\bar{g}^2(1/a)]^{\hat{\Gamma}_i}$ with lattice spacing$a$, where $\bar{g}(1/a)$ is the running coupling at renormalisation scale$\mu=1/a$ and $n_\mathrm{min}$ is a positive integer. $\hat{\Gamma}_i$ can takeany positive or negative value, but is computable by next-to-leading orderperturbation theory. It will impact convergence towards the continuum limit.Balog, Niedermayer and Weisz first pointed out how problematic such correctionscan be in their seminal work for the O(3) model. Based on Symanzik EffectiveTheory for lattice QCD with Ginsparg-Wilson and Wilson quarks, various powers$\hat{\Gamma}_i$ are found due to lattice artifacts from the discretisedlattice action. Those powers are sufficient when describing spectralquantities, while non-spectral quantities will require additional powersoriginating from corrections to each of the discretised local fields involved.This new input should be incorporated into ans\"atze used for the continuumextrapolation.

Asymptotic lattice spacing dependence of spectral quantities in lattice QCD with Wilson or Ginsparg-Wilson quarks