e+e- annihilation to (pi0 pi0 gamma) and (pi0 eta gamma) as a source of information on scalar and vector mesons

TL;DR

This paper develops a model-independent framework for analyzing e+e- annihilation into specific meson final states, providing insights into scalar and vector mesons, with applications for data analysis and Monte Carlo simulations.

Contribution

It introduces a general, model-independent method for decomposing differential cross sections in e+e- annihilation, incorporating Resonance Chiral Theory for scalar and vector mesons.

Findings

Numerical results show good agreement with experimental data.

The framework facilitates development of Monte Carlo generators.

Applicable to multiple meson production channels.

Abstract

We present a general framework for the model-independent decomposition of the fully differential cross section of the reactions e+e- -> gamma* -> (pi0 pi0 gamma) and e+e- -> gamma* -> (pi0 eta gamma), which can provide important information on the properties of scalar mesons: f0(600), f0(980) and a0(980). For the model-dependent ingredients in the differential cross section, an approach is developed, which relies on Resonance Chiral Theory with vector and scalar mesons. Numerical results are compared to data. The framework is convenient for development of a Monte Carlo generator and can also be applied to the reaction e+e- -> gamma* -> (pi+ pi- gamma).