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We make a theoretical study of the charge and forward-backward pionasymmetries in the e+e- --> pi+ pi- gamma process on and off the phi resonanceenergy. These observables are rather sensitive to the inner details of thetheoretical models to describe the reaction. In addition to the standardimplementation of the initial state radiation (ISR) and the Bremsstrahlungcontribution to the final state radiation (FSR), we use the techniques of thechiral unitary approach to evaluate the contribution from the mechanisms of phidecay into pi+pi-gamma. This contribution involves the implementation of finalstate interaction from direct chiral loops, the exchange of vector andaxial-vector resonances and the final state interaction through theconsideration of the meson-meson unitarized amplitudes, which where foundimportant in a previous work describing the phi --> pi pi gamma. We find a goodreproduction of the experimental data from KLOE for the forward-backwardasymmetry, both at the phi peak and away from it. We also make predictions forthe angular distributions of the charge asymmetry and show that this observableis very sensitive to the chiral loops involved in phi radiative decay.

Asymmetry observables in e+ e- --> pi+ pi- gamma in the phi region within a chiral unitary approach