Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-11-08
Eur.Phys.J.C40:41-54,2005
Physics
High Energy Physics
High Energy Physics - Phenomenology
21 pages, 8 figures
Scientific paper
10.1140/epjc/s2004-02109-7
The process of $e^+e^-$ annihilation into a $\pi^+\pi^-$ pair with radiation of a photon is considered. The amplitude of the reaction $e^+e^-\to\pi^+\pi^-\gamma$ 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 $e^+e^-\to\pi^+\pi^-\gamma$ process to the muon anomalous magnetic moment is evaluated, and results are compared with the dominant contribution in the framework of a hybrid model, consisting of VMD and point-like scalar eletrodynamics. The developed approach allows us also to calculate the $\pi^+\pi^-$ charge asymmetry.
Dubinsky S.
Korchin Alexandr
Merenkov N.
Pancheri Giulia
Shekhovtsova Olga
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