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Motivated by anomalies in cosmic ray observations and by attempts to solvequestions of the Standad Model of particle physics like the (g-2)_mudiscrepancy, U(1) extensions of the Standard Model have been proposed in recentyears. Such U(1) extensions allow for the interaction of Dark Matter byexchange of a photon-like massive force carrier \gamma' not included in theStandard Model. In order to search for \gamma' bosons various experimentalprograms have been started. One approach is the dedicated search atfixed-target experiments at modest energies as performed at MAMI or at theJefferson Lab. In these experiments the process e(A,Z)->e(A,Z)l^+l^- isinvestigated and a search for a very narrow resonance in the invariant massdistribution of the l^+l^- pair is performed. In this work we analyze thisprocess in terms of signal and background in order to describe existing dataobtained by the A1 experiment at MAMI with the aim to give accurate predictionsfor exclusion limits in the \gamma' parameter space. We present a detailedtheoretical analysis of the cross sections entering in the description of suchprocesses.

Theoretical framework to analyze searches for hidden light gauge bosons in electron scattering fixed target experiments