# Non-perturbative renormalization in QCD+QED and its applications to weak decays.

Di Carlo M., Giusti D., Lubicz V., Martinelli G., Sachrajda C., Sanfilippo F., Simula S., Tantalo N.

Comunicazione
I - Fisica nucleare e subnucleare
Aula Palazzo dell'Emiciclo - Sala B. Croce - Martedì 24 h 17:30 - 19:30
We present a new strategy to extend the usual non-perturbative renormalization procedure, performed on the lattice in the RI${}^{\prime}$$-MOM scheme, including electromagnetic corrections at first order in perturbation theory. We show the first numerical estimates for the QED corrections to the renormalization constants of quark bilinears and four-fermion operators. Since the non-perturbative renormalization is an important step in the numerical calculation of hadronic decay rates, we discuss the application of this strategy to light-meson leptonic decays. The numerical results are obtained using gauge ensembles produced by the ETM Collaboration with$N_{f} =4\$ dynamical quarks.