A new type fit for the CKM matrix elements

TL;DR

This paper introduces a novel fit method for determining CKM matrix elements using invariant quantities and recent mathematical solutions to reconstruct 3x3 unitary matrices, addressing nonlinear compatibility conditions.

Contribution

It proposes a new fit approach based on invariants for extracting CKM matrix entries, improving the handling of nonlinear constraints from experimental data.

Findings

New fit method effectively incorporates nonlinear compatibility conditions.

Mathematical solution enables accurate reconstruction of unitary matrices.

Enhances the analysis of quark sector data for CKM matrix determination.

Abstract

The aim of the paper is to propose a new type of fits in terms of invariant quantities for finding the entries of the CKM matrix from the quark sector, by using the mathematical solution to the reconstruction problem of 3 x 3 unitary matrices from experimental data, recently found. The necessity of this type of fit comes from the compatibility conditions between the data and the theoretical model formalised by the CKM matrix, which imply many strong nonlinear conditions on moduli which all have to be satisfied in order to obtain a unitary matrix.