Kobayashi-Maskawa matrix moduli, decay constants and form factors determination from experimental data

Abstract

The aim of the paper is to propose another tool for phenomenological analyses of experimental data from superallowed nuclear and neutron $\beta$ decays, and from leptonic and semileptonic decays, that allows the finding of the most probable numerical form of the CKM matrix, as well as the determination of decay constants, $f_{P}$, and of various form factors $f_+(q^2)$, by using another implementation of unitarity constraints. In particular this approach allows the determination of semileptonic form factors that is illustrated on the existing data from $D\rightarrow \pi l \nu$ and $D\rightarrow K l\nu$ decays.