Speaker
Riccardo Marinelli
(Istituto Nazionale di Fisica Nucleare)
Description
We study the renormalization and mixing of the $\Delta F=2$ Four-Fermion Operators (FFO), starting from the problem of the computation of the perturbative running for $N_\mathrm{f}=3$ and showing how this problem is solved through the use of the Poincaré-Dulac theorem. We then illustrate the procedure to evaluate the non-perturbative running from the hadronic scale ($O(\Lambda_{QCD})$) to the electroweak scale ($O(M_W)$), where we hope to safely make contact with perturbation theory. This procedure goes through the computation of the Step-Scaling Functions (SSF) in the Schrödinger Functional (SF) setup. We finally present preliminary numerical results for the non-perturbative running.
Primary authors
Anastassios Vladikas
(Istituto Nazionale di Fisica Nucleare)
Giulia Maria De Divitiis
(Istituto Nazionale di Fisica Nucleare)
Mattia Dallabrida
(Istituto Nazionale di Fisica Nucleare)
Mauro Lucio Papinutto
(ROMA1)
Riccardo Marinelli
(Istituto Nazionale di Fisica Nucleare)
