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1 Introduction

It is well known that the proper treatment of QED radiative corrections at colliders constitutes the essential tool to proceed from data taking to the physics analysis because of their large effects on the measured observables. Generally, they depend upon the details of the experiments via the cuts applied to the final state particles and therefore they need much attention for precision measurements. Furthermore, the crucial role played by radiative effects in the production of narrow states has been emphasized since long time [1]. For these reasons, our aim here is to provide a simple and general recipe which can be used for the evaluation of QED corrections to the cross sections of leptonic and hadronic pair production in annihilations over a realistic experimental set--up for DANE physics.

In particular this paper is devoted to discuss the basic issues of two distinct subjects of interest for the experiments planned at the --factory DANE: the electromagnetic radiative corrections to collisions around the peak and the process of (single) radiative Bhabha scattering .

The formulation of processes at is based on recent analyses [2,3] where a semi--analytical and ``realistic'' (i.e. including the effects of energy or invariant mass cuts, scattering angle and acollinearity cuts) approach is described in detail and successfully applied to fit electroweak precision data for cross sections and asymmetries around the peak. In this sense, we will update and generalize to more realistic set--up the treatment of radiative corrections summarized in the contribution [4] to the first edition of the DANE Physics Handbook, providing also numerical results together with an estimate of the associated theoretical uncertainty.

Radiative Bhabha scattering, which we will discuss next, is relevant at DANE because this process constitutes a very serious background for physics experiments with tagging facilities. Precise predictions are therefore mandatory and they require particular care for the presence of extreme (i.e. very forward) angular configurations in the planned tagging devices. Previous analyses, and in particular very recent analytical results, will be reviewed and compared with respect to their physics input as well as their numerical results.



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Carlos E.Piedrafita