Testing the unitarity of the CKM matrix. Radiative corrections to weak decays of hadrons from Lattice QCD+QED
by
Aula Seminari
Laboratori Nazionali di Frascati
With the advancement of precision physics in the Flavor sector, tests of the unitarity of the Cabibbo-Kobayashi-Maskawa (CKM) quark mixing matrix are playing an increasingly significant and impactful role in understanding the limits of the Standard Model of particle physics.
Achieving exquisite precision in current and future experiments requires theoretical predictions to better control low-energy hadronic effects, which, thanks to the growing potential of supercomputing and advances in non-perturbative techniques, can now be achieved by the most modern numerical simulations of lattice QCD, including the effects of long-range electromagnetic interaction.
After a review of the state of the art in the field for the accurate extraction of the elements of the CKM matrix, in this seminar I will illustrate some new lattice results, using domain wall chiral fermions, on the form factors contributing to the amplitudes of radiative leptonic decays of light and heavy mesons, $H \to \ell \nu_\ell \gamma$, including multiple virtualities of the emitted photon for the study of rare four-lepton decays, such as $H \to \ell^{\prime +} \ell^{\prime -} \ell \nu_\ell$ or $H \to \ell^{\prime +} \ell^{\prime -} \ell^+ \ell^-$.
In addition, I will present some recent efforts and the new program of the BMW collaboration in the study of the unitarity of the first row of the CKM matrix.
This activity is part of the Theoretical Phenomenology Visiting Institute@LNF, running from 23 March to 27 March 2026, and supported by CSN4 to promote the participation of early-career scientists.