Linear stationary point problems on unbounded polyhedra

Stationary Point

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

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.Comment: 39 pages, 5 figure