Three pseudoscalar meson production in $e^+ e^-$ annihilation

TL;DR

This paper analyzes three pseudoscalar meson production in electron-positron annihilation within the Resonance Chiral Theory, providing theoretical predictions for cross-sections in the resonance energy region and implementing them in a Monte Carlo generator.

Contribution

It offers a leading-order theoretical calculation of specific meson production cross-sections and integrates these results into the PHOKHARA Monte Carlo generator.

Findings

Predicted cross-sections for $e^+ e^- ightarrow ext{3 pseudoscalars}$ in the resonance region.

Implementation of theoretical results in the PHOKHARA 7.0 Monte Carlo generator.

Simulation of hadron production via the radiative return method.

Abstract

We study, at leading order in the large number of colours expansion and within the Resonance Chiral Theory framework, the odd-intrinsic-parity $e^+ e^- \rightarrow \pi^+ \pi^- (\pi^0, \eta)$ cross-sections in the energy regime populated by hadron resonances, namely $3 \, m_{\pi} \lsim E \lsim 2 \, \mbox{GeV}$. In addition we implement our results in the Monte Carlo generator PHOKHARA 7.0 and we simulate hadron production through the radiative return method.