Vector Meson Dominance as a first step in a systematic approximation: the pion vector form factor

TL;DR

This paper demonstrates that Pade Approximants provide a systematic way to improve upon Vector Meson Dominance in modeling the pion vector form factor, enabling more accurate extraction of its Taylor coefficients.

Contribution

It introduces the use of Pade Approximants as a systematic method to extend Vector Meson Dominance for analyzing the pion form factor.

Findings

Pade Approximants effectively incorporate high-energy information.

More precise values for the first two Taylor coefficients are obtained.

The method improves the modeling of the pion vector form factor.

Abstract

Pade Approximants can be used to go beyond Vector Meson Dominance in a systematic approximation. We illustrate this fact with the case of the pion vector form factor and extract values for the first two coefficients of its Taylor expansion. Pade Approximants are shown to be a useful and simple tool for incorporating high-energy information, allowing an improved determination of these Taylor coefficients.