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Abstract
We calculate, to 3 loops in perturbation theory, the bare β-function of QCD, formulated on the lattice with the clover fermionic action. The dependence of our result on the number of colors N, the number of fermionic flavors N f , as well as the clover parameter c SW, is shown explicitly. A direct outcome of our calculation is the two-loop relation between the bare coupling constant g 0 and the one renormalized in the MS scheme. Further, we can immediately derive the three-loop correction to the relation between the lattice Λ-parameter and g 0, which is important in checks of asymptotic scaling. For typical values of c SW, this correction is found to be very pronounced.
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