CKM matrix unitarity and a novel type of global fits

TL;DR

This paper proposes a new paradigm for CKM matrix global fits by enforcing exact unitarity constraints using invariant parameters and incorporating diverse experimental data to improve the determination of CKM elements, decay constants, and form factors.

Contribution

It introduces a novel approach to CKM global fits that emphasizes unitarity constraints in terms of invariant parameters and utilizes a broad set of experimental data.

Findings

Most probable CKM matrix form derived from data

Determined decay constants $f_{P}$ from experiments

Estimated form factors $f_+^{Pp}(0)$ directly from data

Abstract

The aim of the paper is to propose one paradigm change of CKM global fits on experimental data from electroweak sector. The change refers to using in fits the exact unitarity constraints expressed in terms of four invariant parameters, such as moduli of the CKM matrix, and to take into account an important set of the available experimental data. In the paper we use data from nuclear beta decays, and from leptonic and semileptonic decays, in order to find the most probable numerical form of the CKM matrix, as well as the determination of decay constants, $f_{P}$, and of various form factors $f_+^{Pp}(0)$, directly from experimental results.