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Small-diameter Drift Tube (sMDT) detectors with 15 mm tube diameter haveproven to be excellent candidates for precision muon tracking detectors inexperiments at future hadron colliders like HL-LHC and FCC-hh whereunprecedentedly high background rate capabilities are required. sMDT chambersare currently being installed in the inner barrel layer of the ATLAS muonspectrometer. The rate capability of the sMDT drift tubes in terms of muondetection efficiency and spatial resolution is limited by the performance ofthe readout electronics. A new (s)MDT ASD (Amplifier-Shaper-Discriminator)readout chip for use at the HL-LHC and future hadron colliders with a fasterpeaking time compared to the old chip has been developed, reducing thediscriminator threshold crossing time jitter and thus improving the time- andspatial resolution with and without $\gamma$-background radiation.Additionally, a method compensating the gas gain drop due to space charge athigh $\gamma$-background hit flux by adjusting the sMDT operating voltage willbe presented. Simulations show, that the addition of active baselinerestoration circuits in the front-end electronics chips in order to suppresssignal-pile-up effects at high counting rates further leads to significantimprovement of both efficiency and resolution. Extensive tests using sMDT testchambers have been performed at the CERN Gamma Irradiation Facility (GIF++).Chambers equipped with new readout chips with improved pulse shaping anddiscrete readout circuits with baseline restoring functionality have beentested.

Performance of the new Readout Electronics for the ATLAS (s)MDT Chambers and Future Colliders at High Background Rates