Speaker
Description
We show preliminary results for the nonperturbative Renormalization Group (RG) running of the full $\Delta F=2$ four-fermion operators basis in QCD with $N_f=3$ massless dynamical flavours. The perturbative part of the running is obtained extending the conventional approaches in the literature, employing the Poincaré–Dulac theorem. The nonperturbative computations employ $\mathcal{O}(a)$-improved Wilson fermions in a mixed action framework: chirally rotated Schrödinger functional ($\chi$SF) boundary conditions for valence quarks and standard Schrödinger Functional (SF) boundaries for the sea quarks. The RG evolution operators are determined through matrix step-scaling functions (SSF), using a SF coupling in the perturbative regime down to ~4GeV, and a Gradient Flow (GF) coupling from ~4GeV down to ~200 MeV. Moreover, the results have been obtained in two different normalization schemes and validated through a variety of consistency checks.
| Parallel Session (for talks only) | Standard Model parameters |
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