Speaker
Description
In this work, we investigate discretization effects proportional to the quark mass, $O(a m)$, on the QCD beta-function within lattice perturbation theory. Using the background field method and improved lattice actions, we compute the renormalization factor of the coupling constant and thus determine the beta-function. In this framework, we calculate, up to two-loop order, the contributions proportional to the quark mass arising in the background gluon propagator. The number of colors $N_c$ and the number of quark flavors $N_f$ are kept arbitrary throughout the calculation. We employ clover fermions together with Symanzik-improved gauge actions, involving Wilson loops with 4 and 6 links. This allows us to isolate the lattice artifacts that affect the determination of the running coupling. The removal of these effects is essential for high-precision, non-perturbative determinations of the strong coupling constant from lattice simulations.
| Parallel Session (for talks only) | Standard Model parameters |
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