\eta and \eta' transition form factors from rational approximants

TL;DR

This paper employs rational approximants to analyze ta and ta' transition form factors in a model-independent manner, extracting key parameters and discussing implications for particle physics phenomena.

Contribution

It introduces a novel, model-independent approach using rational approximants to analyze transition form factors of ta and ta' mesons, providing new insights into their properties.

Findings

Extracted slope and curvature parameters from experimental data.

Determined form factor values at zero and infinity.

Discussed implications for ta-ta' mixing and light-by-light scattering.

Abstract

The \eta and \eta' transition form factors in the space-like region are analyzed at low and intermediate energies in a model-independent way through the use of rational approximants. The slope and curvature parameters of the form factors as well as their values at zero and infinity are extracted from experimental data. The impact of these results on the mixing parameters of the \eta-\eta' system and the pseudoscalar-exchange contributions to the hadronic light-by-light scattering part of the anomalous magnetic moment are also discussed.