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Models of Dynamical Electroweak Symmetry Breaking are expected to display aquasi-conformal scaling behaviour in order to accommodate experimentalconstraints. The scaling properties of a theory can be studied using finitevolume renormalisation schemes. Among these, the most practical ones are basedon the Schr\"odinger Functional (SF). However, lattices accessible in nu-merical simulations suffer from potentially large cutoff effects and specialcare has to be taken to remove these effects. Here we will study the standardsetup of the SF with Wilson quarks and a setup with chirally rotated boundaryconditions. We study the step scaling function for SU(2) and SU(3) gauge groupsin the fundamental, 2-index symmetric and adjoint representations. We per- formthe O(a)-improvement of both setups to 1-loop order in perturbation theory, andwe describe a way of minimising higher order cutoff effects by a redefinitionof the renormalised coupling.

Lattice artefacts in the Schr\"odinger Functional coupling for strongly interacting theories