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

TL;DR

This paper introduces a new phenomenological method to analyze experimental decay data, enabling more accurate determination of the CKM matrix elements, decay constants, and form factors using unitarity constraints.

Contribution

It presents a novel approach for extracting CKM matrix parameters, decay constants, and form factors from experimental data with an emphasis on unitarity constraints.

Findings

Determined semileptonic form factors for D→πlν and D→Klν decays.

Provided improved estimates of CKM matrix elements.

Demonstrated the effectiveness of the new analysis tool.

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.