Vector Meson Dominance as the first order of a sequence of Pade Approximants

TL;DR

This paper discusses the application of Pade Approximants to analyze the pion vector form-factor, demonstrating their effectiveness in combining low and high energy data for improved parameter estimation.

Contribution

It introduces a novel application of Pade Approximants to the pion vector form-factor analysis, validated through theoretical models and experimental data.

Findings

Pade Approximants effectively incorporate energy information.

Improved determination of low energy parameters.

Validated approach with theoretical and experimental data.

Abstract

The use of Pade Approximants for the analysis of the pion vector form-factor is discussed and justified in this talk. The method is tested first in a theoretical model and applied then on real experimental data. It is shown how the Pade Approximants provide a convenient and reliable framework to incorporate both low and high energy information in the euclidean region, leading to improved determinations of the low energy parameters such as, e.g., the quadratic radius <r^2>^pi_V.