Final-state radiation in electron-positron annihilation into pion pair

2004/08/12 by S. Dubinsky, A. Korchin, Dubinsky, S. +9 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0408151

4 pages, 3 figures, poster contribution at DAFNE04 conference, 7-11 June,2004, Frascati, Italy

arxiv created 2004/08/16 · arxiv updated 2016/09/06

Abstract

The process of e⁺ e^- annihilation into π⁺ π^- pair with radiation of the photon is considered. The amplitude of the reaction e⁺ e^- → π⁺ π^- γ consists of the model independent initial-state radiation (ISR) and model dependent final-state radiation (FSR). The general structure of the FSR tensor is constructed from Lorentz covariance, gauge invariance and discrete symmetries in terms of the three invariant functions. To calculate these functions we apply Chiral Perturbation Theory (ChPT) with vector and axial-vector mesons. The contribution of e⁺ e^- → π⁺ π^- γ process to the muon anomalous magnetic moment is evaluated, and results are compared with the dominant contribution in framework of a hybrid model, consisting of VMD and point-like scalar electrodynamics. The developed approach allows us also to calculate the π⁺ π^- charge asymmetry.

Cited by

• Next-to-leading order FsQED corrections to radiative pion pair production

Related

• Study of electron-positron annihilation into KKπ within resonance chiral theory
• Study of electron-positron annihilation into four pions within chiral effective field theory in the low energy region
• Radiative muon (pion) pair production in high energy electron-positron annihilation process
• Radiative muon (pion) pair production in high energy electron-positron annihilation (the case of small invariant pair mass)
• Initial state radiation in e⁺e^- annihilation