The Positron Annihilation into Dark Matter Experiment (PADME) at LNF-INFN Linac aims to perform a search for dark photons in positron-on-target annihilation process. A key component of the setup is the tracking system which allows vetoing the bremsstrahlung-induced background. Different solutions for the detector will be shown and will be discussed. Attention will be paid to the possibility to construct a hybrid tracker based on plastic scintillator fibers read out by CCD matrices.

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