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We study cutoff effects at tree-level of perturbation theory for standardWilson and Wilson twisted mass fermionic lattice actions with Nf=2 flavourdegenerate quarks. The discretization effects are investigated by computing themass spectrum and decay amplitudes for different hadron interpolating fieldsand the scaling behaviour towards the continuum limit is analyzed. It is shownthat the Wilson and the mass average methods are equivalent and lead to O(a)improved R5-parity even lattice observables. We also demonstrate that automaticO(a) improvement works in case of Wilson twisted mass fermions at maximal twistand that this improvement is realized even if the condition of maximal twist isachieved only up to O(a) cutoff effects. We demonstrate that in the chirallimit standard Wilson fermions show scaling violations of O(a^2) while formaximally twisted mass fermions these violations are only of O(a^4). For ouranalytical calculations, lattices with sizes L=aN and periodic boundaryconditions in the spatial directions have been chosen while infinite extensionin the time direction is considered.

Cutoff effects for Wilson twisted mass fermions at tree-level of perturbation theory